pde44h_eq.adb running Given uxxxx(x,y,z,t) + uyyyy(x,y,z,t) + uzzzz(x,y,z,t) + utttt(x,y,z,t) + 2 uxx(x,y,z,t) + 2 uyy(x,y,z,t) + 2 uzz(x,y,z,t) + 2 u(x,y,z,t) = 0 xmin<=x<=xmax ymin<=y<=ymax zmin<=z<=zmax Boundaries Analytic solution u(x,y,z,t) = sin(x+y+z+t) xmin= 0.00000000000000E+00, xmax= 1.00000000000000E+00 ymin= 0.00000000000000E+00, ymax= 1.00000000000000E+00 zmin= 0.00000000000000E+00, zmax= 1.00000000000000E+00 tmin= 0.00000000000000E+00, tmax= 1.00000000000000E+00 nx= 6, ny= 6, nz= 6, nt= 6 x grid, hx= 2.00000000000000E-01 xg( 1)= 0.00000000000000E+00 xg( 2)= 2.00000000000000E-01 xg( 3)= 4.00000000000000E-01 xg( 4)= 6.00000000000000E-01 xg( 5)= 8.00000000000000E-01 xg( 6)= 1.00000000000000E+00 y grid, hy= 2.00000000000000E-01 yg( 1)= 0.00000000000000E+00 yg( 2)= 2.00000000000000E-01 yg( 3)= 4.00000000000000E-01 yg( 4)= 6.00000000000000E-01 yg( 5)= 8.00000000000000E-01 yg( 6)= 1.00000000000000E+00 z grid, hz= 2.00000000000000E-01 zg( 1)= 0.00000000000000E+00 zg( 2)= 2.00000000000000E-01 zg( 3)= 4.00000000000000E-01 zg( 4)= 6.00000000000000E-01 zg( 5)= 8.00000000000000E-01 zg( 6)= 1.00000000000000E+00 t grid, ht= 2.00000000000000E-01 tg( 1)= 0.00000000000000E+00 tg( 2)= 2.00000000000000E-01 tg( 3)= 4.00000000000000E-01 tg( 4)= 6.00000000000000E-01 tg( 5)= 8.00000000000000E-01 tg( 6)= 1.00000000000000E+00 put solution in Ua vector time for previous section = 0.000500000 seconds initialize A time for previous section = 0.002392000 seconds compute A matrix and Y RHS check rderiv(4,nx,1,hx,cxxxx cxxxx( 1)= 1.87500000000000E+03 cxxxx( 2)=-8.75000000000000E+03 cxxxx( 3)= 1.62500000000000E+04 cxxxx( 4)=-1.50000000000000E+04 cxxxx( 5)= 6.87500000000000E+03 cxxxx( 6)=-1.25000000000000E+03 check rderiv(4,nx,nx,hx,cxxxx cxxxx( 1)=-1.25000000000000E+03 cxxxx( 2)= 6.87500000000000E+03 cxxxx( 3)=-1.50000000000000E+04 cxxxx( 4)= 1.62500000000000E+04 cxxxx( 5)=-8.75000000000000E+03 cxxxx( 6)= 1.87500000000000E+03 A computed stiffness matrix time for previous section = 0.019293000 seconds solve 256 equations in 256 unknowns equations solved time for previous section = 0.584573000 seconds check pde against known solution check_soln maxerr= 1.28796313252779E-01 check pde against computed solution check_soln maxerr= 1.55520296777323E-03 U computed, Ua analytic, error ug( 2, 2, 2, 2)= 7.172210E-01, Ua= 7.173561E-01, err= 1.35109669160416E-04 ug( 2, 2, 2, 3)= 8.412474E-01, Ua= 8.414710E-01, err= 2.23629941192738E-04 ug( 2, 2, 2, 4)= 9.318170E-01, Ua= 9.320391E-01, err= 2.22055109285635E-04 ug( 2, 2, 2, 5)= 9.853179E-01, Ua= 9.854497E-01, err= 1.31836854129208E-04 ug( 2, 2, 3, 2)= 8.412451E-01, Ua= 8.414710E-01, err= 2.25884103477680E-04 ug( 2, 2, 3, 3)= 9.316891E-01, Ua= 9.320391E-01, err= 3.49956152289388E-04 ug( 2, 2, 3, 4)= 9.851037E-01, Ua= 9.854497E-01, err= 3.46067276379758E-04 ug( 2, 2, 3, 5)= 9.993552E-01, Ua= 9.995736E-01, err= 2.18377766087130E-04 ug( 2, 2, 4, 2)= 9.318151E-01, Ua= 9.320391E-01, err= 2.24014639360837E-04 ug( 2, 2, 4, 3)= 9.851041E-01, Ua= 9.854497E-01, err= 3.45632533731655E-04 ug( 2, 2, 4, 4)= 9.992335E-01, Ua= 9.995736E-01, err= 3.40085319359362E-04 ug( 2, 2, 4, 5)= 9.736342E-01, Ua= 9.738476E-01, err= 2.13458286498658E-04 ug( 2, 2, 5, 2)= 9.853185E-01, Ua= 9.854497E-01, err= 1.31267100288657E-04 ug( 2, 2, 5, 3)= 9.993583E-01, Ua= 9.995736E-01, err= 2.15304895170410E-04 ug( 2, 2, 5, 4)= 9.736369E-01, Ua= 9.738476E-01, err= 2.10694821218826E-04 ug( 2, 2, 5, 5)= 9.091744E-01, Ua= 9.092974E-01, err= 1.23009027964693E-04 ug( 2, 3, 2, 2)= 8.412451E-01, Ua= 8.414710E-01, err= 2.25883341979038E-04 ug( 2, 3, 2, 3)= 9.316891E-01, Ua= 9.320391E-01, err= 3.49955613907382E-04 ug( 2, 3, 2, 4)= 9.851037E-01, Ua= 9.854497E-01, err= 3.46067270588946E-04 ug( 2, 3, 2, 5)= 9.993552E-01, Ua= 9.995736E-01, err= 2.18378091770721E-04 ug( 2, 3, 3, 2)= 9.316853E-01, Ua= 9.320391E-01, err= 3.53801974664392E-04 ug( 2, 3, 3, 3)= 9.849220E-01, Ua= 9.854497E-01, err= 5.27748488671098E-04 ug( 2, 3, 3, 4)= 9.990545E-01, Ua= 9.995736E-01, err= 5.19153000088313E-04 ug( 2, 3, 3, 5)= 9.735108E-01, Ua= 9.738476E-01, err= 3.36830672942767E-04 ug( 2, 3, 4, 2)= 9.851005E-01, Ua= 9.854497E-01, err= 3.49228644311639E-04 ug( 2, 3, 4, 3)= 9.990554E-01, Ua= 9.995736E-01, err= 5.18207484593858E-04 ug( 2, 3, 4, 4)= 9.733407E-01, Ua= 9.738476E-01, err= 5.06980698475656E-04 ug( 2, 3, 4, 5)= 9.089704E-01, Ua= 9.092974E-01, err= 3.27035351224580E-04 ug( 2, 3, 5, 2)= 9.993565E-01, Ua= 9.995736E-01, err= 2.17072739403745E-04 ug( 2, 3, 5, 3)= 9.735164E-01, Ua= 9.738476E-01, err= 3.31233754330862E-04 ug( 2, 3, 5, 4)= 9.089753E-01, Ua= 9.092974E-01, err= 3.22162183471475E-04 ug( 2, 3, 5, 5)= 8.082968E-01, Ua= 8.084964E-01, err= 1.99644484757178E-04 ug( 2, 4, 2, 2)= 9.318151E-01, Ua= 9.320391E-01, err= 2.24013174736748E-04 ug( 2, 4, 2, 3)= 9.851041E-01, Ua= 9.854497E-01, err= 3.45631354443099E-04 ug( 2, 4, 2, 4)= 9.992335E-01, Ua= 9.995736E-01, err= 3.40085140127067E-04 ug( 2, 4, 2, 5)= 9.736342E-01, Ua= 9.738476E-01, err= 2.13458878795092E-04 ug( 2, 4, 3, 2)= 9.851005E-01, Ua= 9.854497E-01, err= 3.49227485803683E-04 ug( 2, 4, 3, 3)= 9.990554E-01, Ua= 9.995736E-01, err= 5.18206585856551E-04 ug( 2, 4, 3, 4)= 9.733407E-01, Ua= 9.738476E-01, err= 5.06980590033734E-04 ug( 2, 4, 3, 5)= 9.089704E-01, Ua= 9.092974E-01, err= 3.27035796676367E-04 ug( 2, 4, 4, 2)= 9.992308E-01, Ua= 9.995736E-01, err= 3.42802067263559E-04 ug( 2, 4, 4, 3)= 9.733419E-01, Ua= 9.738476E-01, err= 5.05780140060752E-04 ug( 2, 4, 4, 4)= 9.088054E-01, Ua= 9.092974E-01, err= 4.91981334573510E-04 ug( 2, 4, 4, 5)= 8.081809E-01, Ua= 8.084964E-01, err= 3.15499886314630E-04 ug( 2, 4, 5, 2)= 9.736358E-01, Ua= 9.738476E-01, err= 2.11795850075691E-04 ug( 2, 4, 5, 3)= 9.089762E-01, Ua= 9.092974E-01, err= 3.21225296592953E-04 ug( 2, 4, 5, 4)= 8.081858E-01, Ua= 8.084964E-01, err= 3.10606398761570E-04 ug( 2, 4, 5, 5)= 6.752717E-01, Ua= 6.754632E-01, err= 1.91514211573041E-04 ug( 2, 5, 2, 2)= 9.853185E-01, Ua= 9.854497E-01, err= 1.31265672066561E-04 ug( 2, 5, 2, 3)= 9.993583E-01, Ua= 9.995736E-01, err= 2.15303783534515E-04 ug( 2, 5, 2, 4)= 9.736369E-01, Ua= 9.738476E-01, err= 2.10694622651109E-04 ug( 2, 5, 2, 5)= 9.091744E-01, Ua= 9.092974E-01, err= 1.23009558097076E-04 ug( 2, 5, 3, 2)= 9.993565E-01, Ua= 9.995736E-01, err= 2.17071282322290E-04 ug( 2, 5, 3, 3)= 9.735164E-01, Ua= 9.738476E-01, err= 3.31232640914392E-04 ug( 2, 5, 3, 4)= 9.089753E-01, Ua= 9.092974E-01, err= 3.22162032961315E-04 ug( 2, 5, 3, 5)= 8.082968E-01, Ua= 8.084964E-01, err= 1.99645063826970E-04 ug( 2, 5, 4, 2)= 9.736358E-01, Ua= 9.738476E-01, err= 2.11795130020676E-04 ug( 2, 5, 4, 3)= 9.089762E-01, Ua= 9.092974E-01, err= 3.21224686645971E-04 ug( 2, 5, 4, 4)= 8.081858E-01, Ua= 8.084964E-01, err= 3.10606337344255E-04 ug( 2, 5, 4, 5)= 6.752717E-01, Ua= 6.754632E-01, err= 1.91514527006387E-04 ug( 2, 5, 5, 2)= 9.091757E-01, Ua= 9.092974E-01, err= 1.21746671573719E-04 ug( 2, 5, 5, 3)= 8.083003E-01, Ua= 8.084964E-01, err= 1.96134405221593E-04 ug( 2, 5, 5, 4)= 6.752745E-01, Ua= 6.754632E-01, err= 1.88684289592511E-04 ug( 2, 5, 5, 5)= 5.153926E-01, Ua= 5.155014E-01, err= 1.08793804031726E-04 ug( 3, 2, 2, 2)= 8.412451E-01, Ua= 8.414710E-01, err= 2.25883716297504E-04 ug( 3, 2, 2, 3)= 9.316891E-01, Ua= 9.320391E-01, err= 3.49955954940140E-04 ug( 3, 2, 2, 4)= 9.851037E-01, Ua= 9.854497E-01, err= 3.46067313006904E-04 ug( 3, 2, 2, 5)= 9.993552E-01, Ua= 9.995736E-01, err= 2.18377969734451E-04 ug( 3, 2, 3, 2)= 9.316853E-01, Ua= 9.320391E-01, err= 3.53802272034076E-04 ug( 3, 2, 3, 3)= 9.849220E-01, Ua= 9.854497E-01, err= 5.27748665562155E-04 ug( 3, 2, 3, 4)= 9.990545E-01, Ua= 9.995736E-01, err= 5.19152933190714E-04 ug( 3, 2, 3, 5)= 9.735108E-01, Ua= 9.738476E-01, err= 3.36830501438290E-04 ug( 3, 2, 4, 2)= 9.851005E-01, Ua= 9.854497E-01, err= 3.49228451649530E-04 ug( 3, 2, 4, 3)= 9.990554E-01, Ua= 9.995736E-01, err= 5.18207185120301E-04 ug( 3, 2, 4, 4)= 9.733407E-01, Ua= 9.738476E-01, err= 5.06980355918119E-04 ug( 3, 2, 4, 5)= 9.089704E-01, Ua= 9.092974E-01, err= 3.27035077115845E-04 ug( 3, 2, 5, 2)= 9.993565E-01, Ua= 9.995736E-01, err= 2.17072332696744E-04 ug( 3, 2, 5, 3)= 9.735164E-01, Ua= 9.738476E-01, err= 3.31233341421711E-04 ug( 3, 2, 5, 4)= 9.089753E-01, Ua= 9.092974E-01, err= 3.22161768417151E-04 ug( 3, 2, 5, 5)= 8.082968E-01, Ua= 8.084964E-01, err= 1.99644303282898E-04 ug( 3, 3, 2, 2)= 9.316853E-01, Ua= 9.320391E-01, err= 3.53801858771763E-04 ug( 3, 3, 2, 3)= 9.849220E-01, Ua= 9.854497E-01, err= 5.27748348500445E-04 ug( 3, 3, 2, 4)= 9.990545E-01, Ua= 9.995736E-01, err= 5.19152890322561E-04 ug( 3, 3, 2, 5)= 9.735108E-01, Ua= 9.738476E-01, err= 3.36830623465123E-04 ug( 3, 3, 3, 2)= 9.849160E-01, Ua= 9.854497E-01, err= 5.33720079502031E-04 ug( 3, 3, 3, 3)= 9.987956E-01, Ua= 9.995736E-01, err= 7.78041582271238E-04 ug( 3, 3, 3, 4)= 9.730866E-01, Ua= 9.738476E-01, err= 7.61038338780495E-04 ug( 3, 3, 3, 5)= 9.087980E-01, Ua= 9.092974E-01, err= 4.99400109915671E-04 ug( 3, 3, 4, 2)= 9.990498E-01, Ua= 9.995736E-01, err= 5.23772332030603E-04 ug( 3, 3, 4, 3)= 9.730884E-01, Ua= 9.738476E-01, err= 7.59232963062129E-04 ug( 3, 3, 4, 4)= 9.085591E-01, Ua= 9.092974E-01, err= 7.38314188148848E-04 ug( 3, 3, 4, 5)= 8.080150E-01, Ua= 8.084964E-01, err= 4.81437426787856E-04 ug( 3, 3, 5, 2)= 9.735133E-01, Ua= 9.738476E-01, err= 3.34283440295069E-04 ug( 3, 3, 5, 3)= 9.088073E-01, Ua= 9.092974E-01, err= 4.90121780768904E-04 ug( 3, 3, 5, 4)= 8.080228E-01, Ua= 8.084964E-01, err= 4.73579832603543E-04 ug( 3, 3, 5, 5)= 6.751620E-01, Ua= 6.754632E-01, err= 3.01221114910488E-04 ug( 3, 4, 2, 2)= 9.851005E-01, Ua= 9.854497E-01, err= 3.49227647617356E-04 ug( 3, 4, 2, 3)= 9.990554E-01, Ua= 9.995736E-01, err= 5.18206541533672E-04 ug( 3, 4, 2, 4)= 9.733407E-01, Ua= 9.738476E-01, err= 5.06980281578140E-04 ug( 3, 4, 2, 5)= 9.089704E-01, Ua= 9.092974E-01, err= 3.27035437394874E-04 ug( 3, 4, 3, 2)= 9.990498E-01, Ua= 9.995736E-01, err= 5.23771675039031E-04 ug( 3, 4, 3, 3)= 9.730884E-01, Ua= 9.738476E-01, err= 7.59232484125905E-04 ug( 3, 4, 3, 4)= 9.085591E-01, Ua= 9.092974E-01, err= 7.38314127857964E-04 ug( 3, 4, 3, 5)= 8.080150E-01, Ua= 8.084964E-01, err= 4.81437632553483E-04 ug( 3, 4, 4, 2)= 9.733367E-01, Ua= 9.738476E-01, err= 5.10907654306281E-04 ug( 3, 4, 4, 3)= 9.085613E-01, Ua= 9.092974E-01, err= 7.36141847073157E-04 ug( 3, 4, 4, 4)= 8.077850E-01, Ua= 8.084964E-01, err= 7.11433487634361E-04 ug( 3, 4, 4, 5)= 6.750024E-01, Ua= 6.754632E-01, err= 4.60818871221402E-04 ug( 3, 4, 5, 2)= 9.089735E-01, Ua= 9.092974E-01, err= 3.23967885347609E-04 ug( 3, 4, 5, 3)= 8.080245E-01, Ua= 8.084964E-01, err= 4.71904813323265E-04 ug( 3, 4, 5, 4)= 6.750102E-01, Ua= 6.754632E-01, err= 4.52989990033847E-04 ug( 3, 4, 5, 5)= 5.152152E-01, Ua= 5.155014E-01, err= 2.86209944798554E-04 ug( 3, 5, 2, 2)= 9.993565E-01, Ua= 9.995736E-01, err= 2.17071583735295E-04 ug( 3, 5, 2, 3)= 9.735164E-01, Ua= 9.738476E-01, err= 3.31232730745423E-04 ug( 3, 5, 2, 4)= 9.089753E-01, Ua= 9.092974E-01, err= 3.22161690285316E-04 ug( 3, 5, 2, 5)= 8.082968E-01, Ua= 8.084964E-01, err= 1.99644635029528E-04 ug( 3, 5, 3, 2)= 9.735133E-01, Ua= 9.738476E-01, err= 3.34282638375982E-04 ug( 3, 5, 3, 3)= 9.088073E-01, Ua= 9.092974E-01, err= 4.90121214781758E-04 ug( 3, 5, 3, 4)= 8.080228E-01, Ua= 8.084964E-01, err= 4.73579785211786E-04 ug( 3, 5, 3, 5)= 6.751620E-01, Ua= 6.754632E-01, err= 3.01221480992320E-04 ug( 3, 5, 4, 2)= 9.089735E-01, Ua= 9.092974E-01, err= 3.23967493860100E-04 ug( 3, 5, 4, 3)= 8.080245E-01, Ua= 8.084964E-01, err= 4.71904537943102E-04 ug( 3, 5, 4, 4)= 6.750102E-01, Ua= 6.754632E-01, err= 4.52990005933351E-04 ug( 3, 5, 4, 5)= 5.152152E-01, Ua= 5.155014E-01, err= 2.86210098659256E-04 ug( 3, 5, 5, 2)= 8.082991E-01, Ua= 8.084964E-01, err= 1.97316629821032E-04 ug( 3, 5, 5, 3)= 6.751681E-01, Ua= 6.754632E-01, err= 2.95101885769866E-04 ug( 3, 5, 5, 4)= 5.152200E-01, Ua= 5.155014E-01, err= 2.81369243332441E-04 ug( 3, 5, 5, 5)= 3.348172E-01, Ua= 3.349882E-01, err= 1.70991406565624E-04 ug( 4, 2, 2, 2)= 9.318151E-01, Ua= 9.320391E-01, err= 2.24013986173000E-04 ug( 4, 2, 2, 3)= 9.851041E-01, Ua= 9.854497E-01, err= 3.45632135258955E-04 ug( 4, 2, 2, 4)= 9.992335E-01, Ua= 9.995736E-01, err= 3.40085396030698E-04 ug( 4, 2, 2, 5)= 9.736342E-01, Ua= 9.738476E-01, err= 2.13458730205951E-04 ug( 4, 2, 3, 2)= 9.851005E-01, Ua= 9.854497E-01, err= 3.49227960273701E-04 ug( 4, 2, 3, 3)= 9.990554E-01, Ua= 9.995736E-01, err= 5.18206812927802E-04 ug( 4, 2, 3, 4)= 9.733407E-01, Ua= 9.738476E-01, err= 5.06980388428890E-04 ug( 4, 2, 3, 5)= 9.089704E-01, Ua= 9.092974E-01, err= 3.27035412289955E-04 ug( 4, 2, 4, 2)= 9.992308E-01, Ua= 9.995736E-01, err= 3.42801661517456E-04 ug( 4, 2, 4, 3)= 9.733419E-01, Ua= 9.738476E-01, err= 5.05779504808457E-04 ug( 4, 2, 4, 4)= 9.088054E-01, Ua= 9.092974E-01, err= 4.91980632689182E-04 ug( 4, 2, 4, 5)= 8.081809E-01, Ua= 8.084964E-01, err= 3.15499321173918E-04 ug( 4, 2, 5, 2)= 9.736358E-01, Ua= 9.738476E-01, err= 2.11795040825358E-04 ug( 4, 2, 5, 3)= 9.089762E-01, Ua= 9.092974E-01, err= 3.21224330540604E-04 ug( 4, 2, 5, 4)= 8.081858E-01, Ua= 8.084964E-01, err= 3.10605615400861E-04 ug( 4, 2, 5, 5)= 6.752717E-01, Ua= 6.754632E-01, err= 1.91513808400323E-04 ug( 4, 3, 2, 2)= 9.851005E-01, Ua= 9.854497E-01, err= 3.49228234835630E-04 ug( 4, 3, 2, 3)= 9.990554E-01, Ua= 9.995736E-01, err= 5.18207083824329E-04 ug( 4, 3, 2, 4)= 9.733407E-01, Ua= 9.738476E-01, err= 5.06980476385421E-04 ug( 4, 3, 2, 5)= 9.089704E-01, Ua= 9.092974E-01, err= 3.27035338710369E-04 ug( 4, 3, 3, 2)= 9.990498E-01, Ua= 9.995736E-01, err= 5.23772011248425E-04 ug( 4, 3, 3, 3)= 9.730884E-01, Ua= 9.738476E-01, err= 7.59232671292076E-04 ug( 4, 3, 3, 4)= 9.085591E-01, Ua= 9.092974E-01, err= 7.38313981301419E-04 ug( 4, 3, 3, 5)= 8.080150E-01, Ua= 8.084964E-01, err= 4.81437391298578E-04 ug( 4, 3, 4, 2)= 9.733367E-01, Ua= 9.738476E-01, err= 5.10907408898476E-04 ug( 4, 3, 4, 3)= 9.085613E-01, Ua= 9.092974E-01, err= 7.36141377130184E-04 ug( 4, 3, 4, 4)= 8.077850E-01, Ua= 8.084964E-01, err= 7.11432988846572E-04 ug( 4, 3, 4, 5)= 6.750024E-01, Ua= 6.754632E-01, err= 4.60818507472815E-04 ug( 4, 3, 5, 2)= 9.089735E-01, Ua= 9.092974E-01, err= 3.23967321573804E-04 ug( 4, 3, 5, 3)= 8.080245E-01, Ua= 8.084964E-01, err= 4.71904111144505E-04 ug( 4, 3, 5, 4)= 6.750102E-01, Ua= 6.754632E-01, err= 4.52989450002939E-04 ug( 4, 3, 5, 5)= 5.152152E-01, Ua= 5.155014E-01, err= 2.86209672354376E-04 ug( 4, 4, 2, 2)= 9.992308E-01, Ua= 9.995736E-01, err= 3.42802260698605E-04 ug( 4, 4, 2, 3)= 9.733419E-01, Ua= 9.738476E-01, err= 5.05779998684841E-04 ug( 4, 4, 2, 4)= 9.088054E-01, Ua= 9.092974E-01, err= 4.91980785940593E-04 ug( 4, 4, 2, 5)= 8.081809E-01, Ua= 8.084964E-01, err= 3.15499169461830E-04 ug( 4, 4, 3, 2)= 9.733367E-01, Ua= 9.738476E-01, err= 5.10907806303917E-04 ug( 4, 4, 3, 3)= 9.085613E-01, Ua= 9.092974E-01, err= 7.36141722287642E-04 ug( 4, 4, 3, 4)= 8.077850E-01, Ua= 8.084964E-01, err= 7.11433062048572E-04 ug( 4, 4, 3, 5)= 6.750024E-01, Ua= 6.754632E-01, err= 4.60818401428087E-04 ug( 4, 4, 4, 2)= 9.088022E-01, Ua= 9.092974E-01, err= 4.95194825099299E-04 ug( 4, 4, 4, 3)= 8.077875E-01, Ua= 8.084964E-01, err= 7.08906431387990E-04 ug( 4, 4, 4, 4)= 6.747826E-01, Ua= 6.754632E-01, err= 6.80561427935822E-04 ug( 4, 4, 4, 5)= 5.150637E-01, Ua= 5.155014E-01, err= 4.37669929118534E-04 ug( 4, 4, 5, 2)= 8.081845E-01, Ua= 8.084964E-01, err= 3.11928760609481E-04 ug( 4, 4, 5, 3)= 6.750121E-01, Ua= 6.754632E-01, err= 4.51084632571819E-04 ug( 4, 4, 5, 4)= 5.150715E-01, Ua= 5.155014E-01, err= 4.29913333493182E-04 ug( 4, 4, 5, 5)= 3.347184E-01, Ua= 3.349882E-01, err= 2.69705424793043E-04 ug( 4, 5, 2, 2)= 9.736358E-01, Ua= 9.738476E-01, err= 2.11795689580851E-04 ug( 4, 5, 2, 3)= 9.089762E-01, Ua= 9.092974E-01, err= 3.21224822229627E-04 ug( 4, 5, 2, 4)= 8.081858E-01, Ua= 8.084964E-01, err= 3.10605757614768E-04 ug( 4, 5, 2, 5)= 6.752717E-01, Ua= 6.754632E-01, err= 1.91513602906923E-04 ug( 4, 5, 3, 2)= 9.089735E-01, Ua= 9.092974E-01, err= 3.23967866986408E-04 ug( 4, 5, 3, 3)= 8.080245E-01, Ua= 8.084964E-01, err= 4.71904579381843E-04 ug( 4, 5, 3, 4)= 6.750102E-01, Ua= 6.754632E-01, err= 4.52989503780477E-04 ug( 4, 5, 3, 5)= 5.152152E-01, Ua= 5.155014E-01, err= 2.86209482191935E-04 ug( 4, 5, 4, 2)= 8.081845E-01, Ua= 8.084964E-01, err= 3.11929077630224E-04 ug( 4, 5, 4, 3)= 6.750121E-01, Ua= 6.754632E-01, err= 4.51084889047881E-04 ug( 4, 5, 4, 4)= 5.150715E-01, Ua= 5.155014E-01, err= 4.29913398504289E-04 ug( 4, 5, 4, 5)= 3.347184E-01, Ua= 3.349882E-01, err= 2.69705369088713E-04 ug( 4, 5, 5, 2)= 6.752743E-01, Ua= 6.754632E-01, err= 1.88863148833485E-04 ug( 4, 5, 5, 3)= 5.152214E-01, Ua= 5.155014E-01, err= 2.79979575074862E-04 ug( 4, 5, 5, 4)= 3.347232E-01, Ua= 3.349882E-01, err= 2.64927777742119E-04 ug( 4, 5, 5, 5)= 1.409599E-01, Ua= 1.411200E-01, err= 1.60105936771682E-04 ug( 5, 2, 2, 2)= 9.853185E-01, Ua= 9.854497E-01, err= 1.31266387746520E-04 ug( 5, 2, 2, 3)= 9.993583E-01, Ua= 9.995736E-01, err= 2.15304428388352E-04 ug( 5, 2, 2, 4)= 9.736369E-01, Ua= 9.738476E-01, err= 2.10694802353029E-04 ug( 5, 2, 2, 5)= 9.091744E-01, Ua= 9.092974E-01, err= 1.23009376455041E-04 ug( 5, 2, 3, 2)= 9.993565E-01, Ua= 9.995736E-01, err= 2.17071658930923E-04 ug( 5, 2, 3, 3)= 9.735164E-01, Ua= 9.738476E-01, err= 3.31232834758000E-04 ug( 5, 2, 3, 4)= 9.089753E-01, Ua= 9.092974E-01, err= 3.22161873187787E-04 ug( 5, 2, 3, 5)= 8.082968E-01, Ua= 8.084964E-01, err= 1.99644677823851E-04 ug( 5, 2, 4, 2)= 9.736358E-01, Ua= 9.738476E-01, err= 2.11794723861458E-04 ug( 5, 2, 4, 3)= 9.089762E-01, Ua= 9.092974E-01, err= 3.21224108751794E-04 ug( 5, 2, 4, 4)= 8.081858E-01, Ua= 8.084964E-01, err= 3.10605677143139E-04 ug( 5, 2, 4, 5)= 6.752717E-01, Ua= 6.754632E-01, err= 1.91513980781322E-04 ug( 5, 2, 5, 2)= 9.091757E-01, Ua= 9.092974E-01, err= 1.21746020785185E-04 ug( 5, 2, 5, 3)= 8.083003E-01, Ua= 8.084964E-01, err= 1.96133502645801E-04 ug( 5, 2, 5, 4)= 6.752745E-01, Ua= 6.754632E-01, err= 1.88683547163171E-04 ug( 5, 2, 5, 5)= 5.153926E-01, Ua= 5.155014E-01, err= 1.08793352358805E-04 ug( 5, 3, 2, 2)= 9.993565E-01, Ua= 9.995736E-01, err= 2.17072335824131E-04 ug( 5, 3, 2, 3)= 9.735164E-01, Ua= 9.738476E-01, err= 3.31233373627393E-04 ug( 5, 3, 2, 4)= 9.089753E-01, Ua= 9.092974E-01, err= 3.22161988297598E-04 ug( 5, 3, 2, 5)= 8.082968E-01, Ua= 8.084964E-01, err= 1.99644445494029E-04 ug( 5, 3, 3, 2)= 9.735133E-01, Ua= 9.738476E-01, err= 3.34283059145513E-04 ug( 5, 3, 3, 3)= 9.088073E-01, Ua= 9.092974E-01, err= 4.90121373056152E-04 ug( 5, 3, 3, 4)= 8.080228E-01, Ua= 8.084964E-01, err= 4.73579626658616E-04 ug( 5, 3, 3, 5)= 6.751620E-01, Ua= 6.754632E-01, err= 3.01221133611196E-04 ug( 5, 3, 4, 2)= 9.089735E-01, Ua= 9.092974E-01, err= 3.23967103367240E-04 ug( 5, 3, 4, 3)= 8.080245E-01, Ua= 8.084964E-01, err= 4.71903893334624E-04 ug( 5, 3, 4, 4)= 6.750102E-01, Ua= 6.754632E-01, err= 4.52989286787497E-04 ug( 5, 3, 4, 5)= 5.152152E-01, Ua= 5.155014E-01, err= 2.86209650184888E-04 ug( 5, 3, 5, 2)= 8.082991E-01, Ua= 8.084964E-01, err= 1.97315926917074E-04 ug( 5, 3, 5, 3)= 6.751681E-01, Ua= 6.754632E-01, err= 2.95100874953769E-04 ug( 5, 3, 5, 4)= 5.152200E-01, Ua= 5.155014E-01, err= 2.81368385228187E-04 ug( 5, 3, 5, 5)= 3.348172E-01, Ua= 3.349882E-01, err= 1.70991012420685E-04 ug( 5, 4, 2, 2)= 9.736358E-01, Ua= 9.738476E-01, err= 2.11796020072708E-04 ug( 5, 4, 2, 3)= 9.089762E-01, Ua= 9.092974E-01, err= 3.21225179385265E-04 ug( 5, 4, 2, 4)= 8.081858E-01, Ua= 8.084964E-01, err= 3.10605853987678E-04 ug( 5, 4, 2, 5)= 6.752717E-01, Ua= 6.754632E-01, err= 1.91513536338617E-04 ug( 5, 4, 3, 2)= 9.089735E-01, Ua= 9.092974E-01, err= 3.23968074976033E-04 ug( 5, 4, 3, 3)= 8.080245E-01, Ua= 8.084964E-01, err= 4.71904696618286E-04 ug( 5, 4, 3, 4)= 6.750102E-01, Ua= 6.754632E-01, err= 4.52989429330364E-04 ug( 5, 4, 3, 5)= 5.152152E-01, Ua= 5.155014E-01, err= 2.86209300343176E-04 ug( 5, 4, 4, 2)= 8.081845E-01, Ua= 8.084964E-01, err= 3.11928870849187E-04 ug( 5, 4, 4, 3)= 6.750121E-01, Ua= 6.754632E-01, err= 4.51084577364869E-04 ug( 5, 4, 4, 4)= 5.150715E-01, Ua= 5.155014E-01, err= 4.29913045957631E-04 ug( 5, 4, 4, 5)= 3.347184E-01, Ua= 3.349882E-01, err= 2.69705095040262E-04 ug( 5, 4, 5, 2)= 6.752743E-01, Ua= 6.754632E-01, err= 1.88862748832008E-04 ug( 5, 4, 5, 3)= 5.152214E-01, Ua= 5.155014E-01, err= 2.79979064066072E-04 ug( 5, 4, 5, 4)= 3.347232E-01, Ua= 3.349882E-01, err= 2.64927397929771E-04 ug( 5, 4, 5, 5)= 1.409599E-01, Ua= 1.411200E-01, err= 1.60105706909802E-04 ug( 5, 5, 2, 2)= 9.091757E-01, Ua= 9.092974E-01, err= 1.21747300141251E-04 ug( 5, 5, 2, 3)= 8.083003E-01, Ua= 8.084964E-01, err= 1.96134558419381E-04 ug( 5, 5, 2, 4)= 6.752745E-01, Ua= 6.754632E-01, err= 1.88683747429530E-04 ug( 5, 5, 2, 5)= 5.153926E-01, Ua= 5.155014E-01, err= 1.08792909520927E-04 ug( 5, 5, 3, 2)= 8.082991E-01, Ua= 8.084964E-01, err= 1.97317218031845E-04 ug( 5, 5, 3, 3)= 6.751681E-01, Ua= 6.754632E-01, err= 2.95101933555197E-04 ug( 5, 5, 3, 4)= 5.152200E-01, Ua= 5.155014E-01, err= 2.81368588919029E-04 ug( 5, 5, 3, 5)= 3.348172E-01, Ua= 3.349882E-01, err= 1.70990554995976E-04 ug( 5, 5, 4, 2)= 6.752743E-01, Ua= 6.754632E-01, err= 1.88863398999928E-04 ug( 5, 5, 4, 3)= 5.152214E-01, Ua= 5.155014E-01, err= 2.79979600170344E-04 ug( 5, 5, 4, 4)= 3.347232E-01, Ua= 3.349882E-01, err= 2.64927494041889E-04 ug( 5, 5, 4, 5)= 1.409599E-01, Ua= 1.411200E-01, err= 1.60105479091566E-04 ug( 5, 5, 5, 2)= 5.153945E-01, Ua= 5.155014E-01, err= 1.06905668918467E-04 ug( 5, 5, 5, 3)= 3.348209E-01, Ua= 3.349882E-01, err= 1.67234145280304E-04 ug( 5, 5, 5, 4)= 1.409626E-01, Ua= 1.411200E-01, err= 1.57362906192449E-04 ug( 5, 5, 5, 5)= -5.846406E-02, Ua= -5.837414E-02, err= 8.99155510499794E-05 total CPU time = 0.732208000 seconds maxerr= 7.78041582271238E-04, avgerr= 6.82908824938404E-05 writing pde44h_eq_ada.dat finished writing pde44h_eq_ada.dat end first test pde44h_eq.adb running Given uxxxx(x,y,z,t) + uyyyy(x,y,z,t) + uzzzz(x,y,z,t) + utttt(x,y,z,t) + 2 uxx(x,y,z,t) + 2 uyy(x,y,z,t) + 2 uzz(x,y,z,t) + 2 u(x,y,z,t) = 0 xmin<=x<=xmax ymin<=y<=ymax zmin<=z<=zmax Boundaries Analytic solution u(x,y,z,t) = sin(x+y+z+t) xmin=-1.00000000000000E+00, xmax= 1.00000000000000E+00 ymin=-1.00000000000000E+00, ymax= 1.00000000000000E+00 zmin=-1.00000000000000E+00, zmax= 1.00000000000000E+00 tmin=-1.00000000000000E+00, tmax= 1.00000000000000E+00 nx= 6, ny= 6, nz= 6, nt= 6 x grid, hx= 4.00000000000000E-01 xg( 1)=-1.00000000000000E+00 xg( 2)=-6.00000000000000E-01 xg( 3)=-2.00000000000000E-01 xg( 4)= 2.00000000000000E-01 xg( 5)= 6.00000000000000E-01 xg( 6)= 1.00000000000000E+00 y grid, hy= 4.00000000000000E-01 yg( 1)=-1.00000000000000E+00 yg( 2)=-6.00000000000000E-01 yg( 3)=-2.00000000000000E-01 yg( 4)= 2.00000000000000E-01 yg( 5)= 6.00000000000000E-01 yg( 6)= 1.00000000000000E+00 z grid, hz= 4.00000000000000E-01 zg( 1)=-1.00000000000000E+00 zg( 2)=-6.00000000000000E-01 zg( 3)=-2.00000000000000E-01 zg( 4)= 2.00000000000000E-01 zg( 5)= 6.00000000000000E-01 zg( 6)= 1.00000000000000E+00 t grid, ht= 4.00000000000000E-01 tg( 1)=-1.00000000000000E+00 tg( 2)=-6.00000000000000E-01 tg( 3)=-2.00000000000000E-01 tg( 4)= 2.00000000000000E-01 tg( 5)= 6.00000000000000E-01 tg( 6)= 1.00000000000000E+00 put solution in Ua vector time for previous section = 0.000313000 seconds initialize A time for previous section = 0.001787000 seconds compute A matrix and Y RHS check rderiv(4,nx,1,hx,cxxxx cxxxx( 1)= 1.17187500000000E+02 cxxxx( 2)=-5.46875000000000E+02 cxxxx( 3)= 1.01562500000000E+03 cxxxx( 4)=-9.37500000000000E+02 cxxxx( 5)= 4.29687500000000E+02 cxxxx( 6)=-7.81250000000000E+01 check rderiv(4,nx,nx,hx,cxxxx cxxxx( 1)=-7.81250000000000E+01 cxxxx( 2)= 4.29687500000000E+02 cxxxx( 3)=-9.37500000000000E+02 cxxxx( 4)= 1.01562500000000E+03 cxxxx( 5)=-5.46875000000000E+02 cxxxx( 6)= 1.17187500000000E+02 A computed stiffness matrix time for previous section = 0.018308000 seconds solve 256 equations in 256 unknowns equations solved time for previous section = 0.586353000 seconds check pde against known solution check_soln maxerr= 4.77865260859804E-01 check pde against computed solution check_soln maxerr= 3.13667869295555E+03 U computed, Ua analytic, error ug( 2, 2, 2, 2)= 1.158663E+01, Ua= -6.754632E-01, err= 1.22620914965460E+01 ug( 2, 2, 2, 3)= 1.383573E+01, Ua= -9.092974E-01, err= 1.47450304666256E+01 ug( 2, 2, 2, 4)= 1.527465E+01, Ua= -9.995736E-01, err= 1.62742232746585E+01 ug( 2, 2, 2, 5)= 1.581146E+01, Ua= -9.320391E-01, err= 1.67435007414536E+01 ug( 2, 2, 3, 2)= 1.487446E+01, Ua= -9.092974E-01, err= 1.57837575829294E+01 ug( 2, 2, 3, 3)= 1.703416E+01, Ua= -9.995736E-01, err= 1.80337350761224E+01 ug( 2, 2, 3, 4)= 1.805254E+01, Ua= -9.320391E-01, err= 1.89845813071177E+01 ug( 2, 2, 3, 5)= 1.784401E+01, Ua= -7.173561E-01, err= 1.85613615790062E+01 ug( 2, 2, 4, 2)= 1.628984E+01, Ua= -9.995736E-01, err= 1.72894124519443E+01 ug( 2, 2, 4, 3)= 1.796591E+01, Ua= -9.320391E-01, err= 1.88979455230279E+01 ug( 2, 2, 4, 4)= 1.844791E+01, Ua= -7.173561E-01, err= 1.91652628478453E+01 ug( 2, 2, 4, 5)= 1.768416E+01, Ua= -3.894183E-01, err= 1.80735759870153E+01 ug( 2, 2, 5, 2)= 1.566529E+01, Ua= -9.320391E-01, err= 1.65973302448755E+01 ug( 2, 2, 5, 3)= 1.657329E+01, Ua= -7.173561E-01, err= 1.72906470628111E+01 ug( 2, 2, 5, 4)= 1.652462E+01, Ua= -3.894183E-01, err= 1.69140363097033E+01 ug( 2, 2, 5, 5)= 1.549439E+01, Ua= 2.220446E-16, err= 1.54943943537307E+01 ug( 2, 3, 2, 2)= 1.487446E+01, Ua= -9.092974E-01, err= 1.57837575830171E+01 ug( 2, 3, 2, 3)= 1.703416E+01, Ua= -9.995736E-01, err= 1.80337350761064E+01 ug( 2, 3, 2, 4)= 1.805254E+01, Ua= -9.320391E-01, err= 1.89845813071557E+01 ug( 2, 3, 2, 5)= 1.784401E+01, Ua= -7.173561E-01, err= 1.85613615789854E+01 ug( 2, 3, 3, 2)= 1.828313E+01, Ua= -9.995736E-01, err= 1.92827038397912E+01 ug( 2, 3, 3, 3)= 2.038554E+01, Ua= -9.320391E-01, err= 2.13175765910049E+01 ug( 2, 3, 3, 4)= 2.089482E+01, Ua= -7.173561E-01, err= 2.16121740621801E+01 ug( 2, 3, 3, 5)= 1.975422E+01, Ua= -3.894183E-01, err= 2.01436364520839E+01 ug( 2, 3, 4, 2)= 1.912206E+01, Ua= -9.320391E-01, err= 2.00541016568089E+01 ug( 2, 3, 4, 3)= 2.064022E+01, Ua= -7.173561E-01, err= 2.13575733836892E+01 ug( 2, 3, 4, 4)= 2.054069E+01, Ua= -3.894183E-01, err= 2.09301086376867E+01 ug( 2, 3, 4, 5)= 1.882087E+01, Ua= 3.330669E-16, err= 1.88208732900018E+01 ug( 2, 3, 5, 2)= 1.743396E+01, Ua= -7.173561E-01, err= 1.81513177121802E+01 ug( 2, 3, 5, 3)= 1.800641E+01, Ua= -3.894183E-01, err= 1.83958292119910E+01 ug( 2, 3, 5, 4)= 1.734812E+01, Ua= 3.330669E-16, err= 1.73481187126247E+01 ug( 2, 3, 5, 5)= 1.548556E+01, Ua= 3.894183E-01, err= 1.50961404230720E+01 ug( 2, 4, 2, 2)= 1.628984E+01, Ua= -9.995736E-01, err= 1.72894124521483E+01 ug( 2, 4, 2, 3)= 1.796591E+01, Ua= -9.320391E-01, err= 1.88979455231141E+01 ug( 2, 4, 2, 4)= 1.844791E+01, Ua= -7.173561E-01, err= 1.91652628478001E+01 ug( 2, 4, 2, 5)= 1.768416E+01, Ua= -3.894183E-01, err= 1.80735759868963E+01 ug( 2, 4, 3, 2)= 1.912206E+01, Ua= -9.320391E-01, err= 2.00541016568455E+01 ug( 2, 4, 3, 3)= 2.064022E+01, Ua= -7.173561E-01, err= 2.13575733837015E+01 ug( 2, 4, 3, 4)= 2.054069E+01, Ua= -3.894183E-01, err= 2.09301086376615E+01 ug( 2, 4, 3, 5)= 1.882087E+01, Ua= 3.330669E-16, err= 1.88208732900241E+01 ug( 2, 4, 4, 2)= 1.927546E+01, Ua= -7.173561E-01, err= 1.99928175784137E+01 ug( 2, 4, 4, 3)= 2.013829E+01, Ua= -3.894183E-01, err= 2.05277047232355E+01 ug( 2, 4, 4, 4)= 1.939820E+01, Ua= 5.551115E-16, err= 1.93982020496102E+01 ug( 2, 4, 4, 5)= 1.711243E+01, Ua= 3.894183E-01, err= 1.67230130971765E+01 ug( 2, 4, 5, 2)= 1.703775E+01, Ua= -3.894183E-01, err= 1.74271688255732E+01 ug( 2, 4, 5, 3)= 1.694868E+01, Ua= 3.330669E-16, err= 1.69486786283777E+01 ug( 2, 4, 5, 4)= 1.566137E+01, Ua= 3.894183E-01, err= 1.52719497231860E+01 ug( 2, 4, 5, 5)= 1.325397E+01, Ua= 7.173561E-01, err= 1.25366123810005E+01 ug( 2, 5, 2, 2)= 1.566529E+01, Ua= -9.320391E-01, err= 1.65973302449531E+01 ug( 2, 5, 2, 3)= 1.657329E+01, Ua= -7.173561E-01, err= 1.72906470628434E+01 ug( 2, 5, 2, 4)= 1.652462E+01, Ua= -3.894183E-01, err= 1.69140363098577E+01 ug( 2, 5, 2, 5)= 1.549439E+01, Ua= 2.220446E-16, err= 1.54943943537690E+01 ug( 2, 5, 3, 2)= 1.743396E+01, Ua= -7.173561E-01, err= 1.81513177122275E+01 ug( 2, 5, 3, 3)= 1.800641E+01, Ua= -3.894183E-01, err= 1.83958292119974E+01 ug( 2, 5, 3, 4)= 1.734812E+01, Ua= 3.330669E-16, err= 1.73481187125847E+01 ug( 2, 5, 3, 5)= 1.548556E+01, Ua= 3.894183E-01, err= 1.50961404230052E+01 ug( 2, 5, 4, 2)= 1.703775E+01, Ua= -3.894183E-01, err= 1.74271688257021E+01 ug( 2, 5, 4, 3)= 1.694868E+01, Ua= 3.330669E-16, err= 1.69486786282893E+01 ug( 2, 5, 4, 4)= 1.566137E+01, Ua= 3.894183E-01, err= 1.52719497231829E+01 ug( 2, 5, 4, 5)= 1.325397E+01, Ua= 7.173561E-01, err= 1.25366123810045E+01 ug( 2, 5, 5, 2)= 1.485571E+01, Ua= 2.220446E-16, err= 1.48557056602570E+01 ug( 2, 5, 5, 3)= 1.396411E+01, Ua= 3.894183E-01, err= 1.35746899629189E+01 ug( 2, 5, 5, 4)= 1.215994E+01, Ua= 7.173561E-01, err= 1.14425813498865E+01 ug( 2, 5, 5, 5)= 9.538999E+00, Ua= 9.320391E-01, err= 8.60696025794839E+00 ug( 3, 2, 2, 2)= 1.487446E+01, Ua= -9.092974E-01, err= 1.57837575828195E+01 ug( 3, 2, 2, 3)= 1.703416E+01, Ua= -9.995736E-01, err= 1.80337350761875E+01 ug( 3, 2, 2, 4)= 1.805254E+01, Ua= -9.320391E-01, err= 1.89845813072689E+01 ug( 3, 2, 2, 5)= 1.784401E+01, Ua= -7.173561E-01, err= 1.85613615790965E+01 ug( 3, 2, 3, 2)= 1.828313E+01, Ua= -9.995736E-01, err= 1.92827038396019E+01 ug( 3, 2, 3, 3)= 2.038554E+01, Ua= -9.320391E-01, err= 2.13175765910163E+01 ug( 3, 2, 3, 4)= 2.089482E+01, Ua= -7.173561E-01, err= 2.16121740623394E+01 ug( 3, 2, 3, 5)= 1.975422E+01, Ua= -3.894183E-01, err= 2.01436364522901E+01 ug( 3, 2, 4, 2)= 1.912206E+01, Ua= -9.320391E-01, err= 2.00541016567807E+01 ug( 3, 2, 4, 3)= 2.064022E+01, Ua= -7.173561E-01, err= 2.13575733837222E+01 ug( 3, 2, 4, 4)= 2.054069E+01, Ua= -3.894183E-01, err= 2.09301086378207E+01 ug( 3, 2, 4, 5)= 1.882087E+01, Ua= 3.330669E-16, err= 1.88208732902793E+01 ug( 3, 2, 5, 2)= 1.743396E+01, Ua= -7.173561E-01, err= 1.81513177121333E+01 ug( 3, 2, 5, 3)= 1.800641E+01, Ua= -3.894183E-01, err= 1.83958292120524E+01 ug( 3, 2, 5, 4)= 1.734812E+01, Ua= 3.330669E-16, err= 1.73481187126625E+01 ug( 3, 2, 5, 5)= 1.548556E+01, Ua= 3.894183E-01, err= 1.50961404231762E+01 ug( 3, 3, 2, 2)= 1.828313E+01, Ua= -9.995736E-01, err= 1.92827038398598E+01 ug( 3, 3, 2, 3)= 2.038554E+01, Ua= -9.320391E-01, err= 2.13175765910943E+01 ug( 3, 3, 2, 4)= 2.089482E+01, Ua= -7.173561E-01, err= 2.16121740623309E+01 ug( 3, 3, 2, 5)= 1.975422E+01, Ua= -3.894183E-01, err= 2.01436364521886E+01 ug( 3, 3, 3, 2)= 2.184720E+01, Ua= -9.320391E-01, err= 2.27792423034015E+01 ug( 3, 3, 3, 3)= 2.393915E+01, Ua= -7.173561E-01, err= 2.46565070585287E+01 ug( 3, 3, 3, 4)= 2.383318E+01, Ua= -3.894183E-01, err= 2.42226026641482E+01 ug( 3, 3, 3, 5)= 2.154148E+01, Ua= 2.220446E-16, err= 2.15414780558030E+01 ug( 3, 3, 4, 2)= 2.193526E+01, Ua= -7.173561E-01, err= 2.26526197582235E+01 ug( 3, 3, 4, 3)= 2.331191E+01, Ua= -3.894183E-01, err= 2.37013242183027E+01 ug( 3, 3, 4, 4)= 2.252631E+01, Ua= 4.440892E-16, err= 2.25263094499640E+01 ug( 3, 3, 4, 5)= 1.967220E+01, Ua= 3.894183E-01, err= 1.92827844338301E+01 ug( 3, 3, 5, 2)= 1.892241E+01, Ua= -3.894183E-01, err= 1.93118260442122E+01 ug( 3, 3, 5, 3)= 1.913404E+01, Ua= 2.220446E-16, err= 1.91340408376060E+01 ug( 3, 3, 5, 4)= 1.778860E+01, Ua= 3.894183E-01, err= 1.73991805091051E+01 ug( 3, 3, 5, 5)= 1.500200E+01, Ua= 7.173561E-01, err= 1.42846434654897E+01 ug( 3, 4, 2, 2)= 1.912206E+01, Ua= -9.320391E-01, err= 2.00541016569517E+01 ug( 3, 4, 2, 3)= 2.064022E+01, Ua= -7.173561E-01, err= 2.13575733838554E+01 ug( 3, 4, 2, 4)= 2.054069E+01, Ua= -3.894183E-01, err= 2.09301086378696E+01 ug( 3, 4, 2, 5)= 1.882087E+01, Ua= 3.330669E-16, err= 1.88208732901534E+01 ug( 3, 4, 3, 2)= 2.193526E+01, Ua= -7.173561E-01, err= 2.26526197583600E+01 ug( 3, 4, 3, 3)= 2.331191E+01, Ua= -3.894183E-01, err= 2.37013242184022E+01 ug( 3, 4, 3, 4)= 2.252631E+01, Ua= 4.440892E-16, err= 2.25263094499726E+01 ug( 3, 4, 3, 5)= 1.967220E+01, Ua= 3.894183E-01, err= 1.92827844337400E+01 ug( 3, 4, 4, 2)= 2.122809E+01, Ua= -3.894183E-01, err= 2.16175077173944E+01 ug( 3, 4, 4, 3)= 2.181642E+01, Ua= 4.440892E-16, err= 2.18164228878903E+01 ug( 3, 4, 4, 4)= 2.033835E+01, Ua= 3.894183E-01, err= 1.99489349028467E+01 ug( 3, 4, 4, 5)= 1.697356E+01, Ua= 7.173561E-01, err= 1.62562081814377E+01 ug( 3, 4, 5, 2)= 1.768552E+01, Ua= 3.330669E-16, err= 1.76855234454965E+01 ug( 3, 4, 5, 3)= 1.714011E+01, Ua= 3.894183E-01, err= 1.67506867638163E+01 ug( 3, 4, 5, 4)= 1.514605E+01, Ua= 7.173561E-01, err= 1.44286911007671E+01 ug( 3, 4, 5, 5)= 1.188904E+01, Ua= 9.320391E-01, err= 1.09569999095791E+01 ug( 3, 5, 2, 2)= 1.743396E+01, Ua= -7.173561E-01, err= 1.81513177122928E+01 ug( 3, 5, 2, 3)= 1.800641E+01, Ua= -3.894183E-01, err= 1.83958292121468E+01 ug( 3, 5, 2, 4)= 1.734812E+01, Ua= 3.330669E-16, err= 1.73481187126341E+01 ug( 3, 5, 2, 5)= 1.548556E+01, Ua= 3.894183E-01, err= 1.50961404231038E+01 ug( 3, 5, 3, 2)= 1.892241E+01, Ua= -3.894183E-01, err= 1.93118260443432E+01 ug( 3, 5, 3, 3)= 1.913404E+01, Ua= 2.220446E-16, err= 1.91340408376552E+01 ug( 3, 5, 3, 4)= 1.778860E+01, Ua= 3.894183E-01, err= 1.73991805091544E+01 ug( 3, 5, 3, 5)= 1.500200E+01, Ua= 7.173561E-01, err= 1.42846434654439E+01 ug( 3, 5, 4, 2)= 1.768552E+01, Ua= 3.330669E-16, err= 1.76855234455445E+01 ug( 3, 5, 4, 3)= 1.714011E+01, Ua= 3.894183E-01, err= 1.67506867638607E+01 ug( 3, 5, 4, 4)= 1.514605E+01, Ua= 7.173561E-01, err= 1.44286911008607E+01 ug( 3, 5, 4, 5)= 1.188904E+01, Ua= 9.320391E-01, err= 1.09569999094141E+01 ug( 3, 5, 5, 2)= 1.444929E+01, Ua= 3.894183E-01, err= 1.40598754273462E+01 ug( 3, 5, 5, 3)= 1.301238E+01, Ua= 7.173561E-01, err= 1.22950198257688E+01 ug( 3, 5, 5, 4)= 1.055905E+01, Ua= 9.320391E-01, err= 9.62700776193431E+00 ug( 3, 5, 5, 5)= 7.278368E+00, Ua= 9.995736E-01, err= 6.27879398984155E+00 ug( 4, 2, 2, 2)= 1.628984E+01, Ua= -9.995736E-01, err= 1.72894124521124E+01 ug( 4, 2, 2, 3)= 1.796591E+01, Ua= -9.320391E-01, err= 1.88979455232056E+01 ug( 4, 2, 2, 4)= 1.844791E+01, Ua= -7.173561E-01, err= 1.91652628479996E+01 ug( 4, 2, 2, 5)= 1.768416E+01, Ua= -3.894183E-01, err= 1.80735759871906E+01 ug( 4, 2, 3, 2)= 1.912206E+01, Ua= -9.320391E-01, err= 2.00541016567964E+01 ug( 4, 2, 3, 3)= 2.064022E+01, Ua= -7.173561E-01, err= 2.13575733837704E+01 ug( 4, 2, 3, 4)= 2.054069E+01, Ua= -3.894183E-01, err= 2.09301086379923E+01 ug( 4, 2, 3, 5)= 1.882087E+01, Ua= 3.330669E-16, err= 1.88208732903545E+01 ug( 4, 2, 4, 2)= 1.927546E+01, Ua= -7.173561E-01, err= 1.99928175783550E+01 ug( 4, 2, 4, 3)= 2.013829E+01, Ua= -3.894183E-01, err= 2.05277047233688E+01 ug( 4, 2, 4, 4)= 1.939820E+01, Ua= 5.551115E-16, err= 1.93982020499102E+01 ug( 4, 2, 4, 5)= 1.711243E+01, Ua= 3.894183E-01, err= 1.67230130974747E+01 ug( 4, 2, 5, 2)= 1.703775E+01, Ua= -3.894183E-01, err= 1.74271688256156E+01 ug( 4, 2, 5, 3)= 1.694868E+01, Ua= 3.330669E-16, err= 1.69486786284518E+01 ug( 4, 2, 5, 4)= 1.566137E+01, Ua= 3.894183E-01, err= 1.52719497233316E+01 ug( 4, 2, 5, 5)= 1.325397E+01, Ua= 7.173561E-01, err= 1.25366123812053E+01 ug( 4, 3, 2, 2)= 1.912206E+01, Ua= -9.320391E-01, err= 2.00541016568258E+01 ug( 4, 3, 2, 3)= 2.064022E+01, Ua= -7.173561E-01, err= 2.13575733838833E+01 ug( 4, 3, 2, 4)= 2.054069E+01, Ua= -3.894183E-01, err= 2.09301086380047E+01 ug( 4, 3, 2, 5)= 1.882087E+01, Ua= 3.330669E-16, err= 1.88208732903318E+01 ug( 4, 3, 3, 2)= 2.193526E+01, Ua= -7.173561E-01, err= 2.26526197582581E+01 ug( 4, 3, 3, 3)= 2.331191E+01, Ua= -3.894183E-01, err= 2.37013242184407E+01 ug( 4, 3, 3, 4)= 2.252631E+01, Ua= 4.440892E-16, err= 2.25263094502210E+01 ug( 4, 3, 3, 5)= 1.967220E+01, Ua= 3.894183E-01, err= 1.92827844340591E+01 ug( 4, 3, 4, 2)= 2.122809E+01, Ua= -3.894183E-01, err= 2.16175077174050E+01 ug( 4, 3, 4, 3)= 2.181642E+01, Ua= 4.440892E-16, err= 2.18164228880061E+01 ug( 4, 3, 4, 4)= 2.033835E+01, Ua= 3.894183E-01, err= 1.99489349031208E+01 ug( 4, 3, 4, 5)= 1.697356E+01, Ua= 7.173561E-01, err= 1.62562081817218E+01 ug( 4, 3, 5, 2)= 1.768552E+01, Ua= 3.330669E-16, err= 1.76855234455505E+01 ug( 4, 3, 5, 3)= 1.714011E+01, Ua= 3.894183E-01, err= 1.67506867638996E+01 ug( 4, 3, 5, 4)= 1.514605E+01, Ua= 7.173561E-01, err= 1.44286911009639E+01 ug( 4, 3, 5, 5)= 1.188904E+01, Ua= 9.320391E-01, err= 1.09569999097174E+01 ug( 4, 4, 2, 2)= 1.927546E+01, Ua= -7.173561E-01, err= 1.99928175785362E+01 ug( 4, 4, 2, 3)= 2.013829E+01, Ua= -3.894183E-01, err= 2.05277047235457E+01 ug( 4, 4, 2, 4)= 1.939820E+01, Ua= 5.551115E-16, err= 1.93982020499675E+01 ug( 4, 4, 2, 5)= 1.711243E+01, Ua= 3.894183E-01, err= 1.67230130974314E+01 ug( 4, 4, 3, 2)= 2.122809E+01, Ua= -3.894183E-01, err= 2.16175077175202E+01 ug( 4, 4, 3, 3)= 2.181642E+01, Ua= 4.440892E-16, err= 2.18164228881531E+01 ug( 4, 4, 3, 4)= 2.033835E+01, Ua= 3.894183E-01, err= 1.99489349031553E+01 ug( 4, 4, 3, 5)= 1.697356E+01, Ua= 7.173561E-01, err= 1.62562081816771E+01 ug( 4, 4, 4, 2)= 1.970263E+01, Ua= 5.551115E-16, err= 1.97026260272568E+01 ug( 4, 4, 4, 3)= 1.944957E+01, Ua= 3.894183E-01, err= 1.90601488347425E+01 ug( 4, 4, 4, 4)= 1.729223E+01, Ua= 7.173561E-01, err= 1.65748761977505E+01 ug( 4, 4, 4, 5)= 1.349873E+01, Ua= 9.320391E-01, err= 1.25666955982894E+01 ug( 4, 4, 5, 2)= 1.568892E+01, Ua= 3.894183E-01, err= 1.52995027679853E+01 ug( 4, 4, 5, 3)= 1.437037E+01, Ua= 7.173561E-01, err= 1.36530092493287E+01 ug( 4, 4, 5, 4)= 1.176987E+01, Ua= 9.320391E-01, err= 1.08378280251282E+01 ug( 4, 4, 5, 5)= 8.143879E+00, Ua= 9.995736E-01, err= 7.14430531184396E+00 ug( 4, 5, 2, 2)= 1.703775E+01, Ua= -3.894183E-01, err= 1.74271688258387E+01 ug( 4, 5, 2, 3)= 1.694868E+01, Ua= 3.330669E-16, err= 1.69486786286085E+01 ug( 4, 5, 2, 4)= 1.566137E+01, Ua= 3.894183E-01, err= 1.52719497234581E+01 ug( 4, 5, 2, 5)= 1.325397E+01, Ua= 7.173561E-01, err= 1.25366123811184E+01 ug( 4, 5, 3, 2)= 1.768552E+01, Ua= 3.330669E-16, err= 1.76855234457075E+01 ug( 4, 5, 3, 3)= 1.714011E+01, Ua= 3.894183E-01, err= 1.67506867641026E+01 ug( 4, 5, 3, 4)= 1.514605E+01, Ua= 7.173561E-01, err= 1.44286911010316E+01 ug( 4, 5, 3, 5)= 1.188904E+01, Ua= 9.320391E-01, err= 1.09569999096502E+01 ug( 4, 5, 4, 2)= 1.568892E+01, Ua= 3.894183E-01, err= 1.52995027680806E+01 ug( 4, 5, 4, 3)= 1.437037E+01, Ua= 7.173561E-01, err= 1.36530092494441E+01 ug( 4, 5, 4, 4)= 1.176987E+01, Ua= 9.320391E-01, err= 1.08378280251380E+01 ug( 4, 5, 4, 5)= 8.143879E+00, Ua= 9.995736E-01, err= 7.14430531182433E+00 ug( 4, 5, 5, 2)= 1.201334E+01, Ua= 7.173561E-01, err= 1.12959829866846E+01 ug( 4, 5, 5, 3)= 9.891288E+00, Ua= 9.320391E-01, err= 8.95924866520092E+00 ug( 4, 5, 5, 4)= 6.927305E+00, Ua= 9.995736E-01, err= 5.92773100459864E+00 ug( 4, 5, 5, 5)= 3.368060E+00, Ua= 9.092974E-01, err= 2.45876252106839E+00 ug( 5, 2, 2, 2)= 1.566529E+01, Ua= -9.320391E-01, err= 1.65973302448326E+01 ug( 5, 2, 2, 3)= 1.657329E+01, Ua= -7.173561E-01, err= 1.72906470628903E+01 ug( 5, 2, 2, 4)= 1.652462E+01, Ua= -3.894183E-01, err= 1.69140363099845E+01 ug( 5, 2, 2, 5)= 1.549439E+01, Ua= 2.220446E-16, err= 1.54943943539155E+01 ug( 5, 2, 3, 2)= 1.743396E+01, Ua= -7.173561E-01, err= 1.81513177121384E+01 ug( 5, 2, 3, 3)= 1.800641E+01, Ua= -3.894183E-01, err= 1.83958292120744E+01 ug( 5, 2, 3, 4)= 1.734812E+01, Ua= 3.330669E-16, err= 1.73481187128821E+01 ug( 5, 2, 3, 5)= 1.548556E+01, Ua= 3.894183E-01, err= 1.50961404233482E+01 ug( 5, 2, 4, 2)= 1.703775E+01, Ua= -3.894183E-01, err= 1.74271688256341E+01 ug( 5, 2, 4, 3)= 1.694868E+01, Ua= 3.330669E-16, err= 1.69486786284768E+01 ug( 5, 2, 4, 4)= 1.566137E+01, Ua= 3.894183E-01, err= 1.52719497234580E+01 ug( 5, 2, 4, 5)= 1.325397E+01, Ua= 7.173561E-01, err= 1.25366123812724E+01 ug( 5, 2, 5, 2)= 1.485571E+01, Ua= 2.220446E-16, err= 1.48557056603121E+01 ug( 5, 2, 5, 3)= 1.396411E+01, Ua= 3.894183E-01, err= 1.35746899629951E+01 ug( 5, 2, 5, 4)= 1.215994E+01, Ua= 7.173561E-01, err= 1.14425813500439E+01 ug( 5, 2, 5, 5)= 9.538999E+00, Ua= 9.320391E-01, err= 8.60696025811376E+00 ug( 5, 3, 2, 2)= 1.743396E+01, Ua= -7.173561E-01, err= 1.81513177122074E+01 ug( 5, 3, 2, 3)= 1.800641E+01, Ua= -3.894183E-01, err= 1.83958292121712E+01 ug( 5, 3, 2, 4)= 1.734812E+01, Ua= 3.330669E-16, err= 1.73481187128811E+01 ug( 5, 3, 2, 5)= 1.548556E+01, Ua= 3.894183E-01, err= 1.50961404233550E+01 ug( 5, 3, 3, 2)= 1.892241E+01, Ua= -3.894183E-01, err= 1.93118260442641E+01 ug( 5, 3, 3, 3)= 1.913404E+01, Ua= 2.220446E-16, err= 1.91340408377986E+01 ug( 5, 3, 3, 4)= 1.778860E+01, Ua= 3.894183E-01, err= 1.73991805094725E+01 ug( 5, 3, 3, 5)= 1.500200E+01, Ua= 7.173561E-01, err= 1.42846434658225E+01 ug( 5, 3, 4, 2)= 1.768552E+01, Ua= 3.330669E-16, err= 1.76855234455723E+01 ug( 5, 3, 4, 3)= 1.714011E+01, Ua= 3.894183E-01, err= 1.67506867640038E+01 ug( 5, 3, 4, 4)= 1.514605E+01, Ua= 7.173561E-01, err= 1.44286911011451E+01 ug( 5, 3, 4, 5)= 1.188904E+01, Ua= 9.320391E-01, err= 1.09569999098151E+01 ug( 5, 3, 5, 2)= 1.444929E+01, Ua= 3.894183E-01, err= 1.40598754272965E+01 ug( 5, 3, 5, 3)= 1.301238E+01, Ua= 7.173561E-01, err= 1.22950198258692E+01 ug( 5, 3, 5, 4)= 1.055905E+01, Ua= 9.320391E-01, err= 9.62700776217184E+00 ug( 5, 3, 5, 5)= 7.278368E+00, Ua= 9.995736E-01, err= 6.27879399002503E+00 ug( 5, 4, 2, 2)= 1.703775E+01, Ua= -3.894183E-01, err= 1.74271688257788E+01 ug( 5, 4, 2, 3)= 1.694868E+01, Ua= 3.330669E-16, err= 1.69486786286310E+01 ug( 5, 4, 2, 4)= 1.566137E+01, Ua= 3.894183E-01, err= 1.52719497235434E+01 ug( 5, 4, 2, 5)= 1.325397E+01, Ua= 7.173561E-01, err= 1.25366123812772E+01 ug( 5, 4, 3, 2)= 1.768552E+01, Ua= 3.330669E-16, err= 1.76855234456728E+01 ug( 5, 4, 3, 3)= 1.714011E+01, Ua= 3.894183E-01, err= 1.67506867641184E+01 ug( 5, 4, 3, 4)= 1.514605E+01, Ua= 7.173561E-01, err= 1.44286911011985E+01 ug( 5, 4, 3, 5)= 1.188904E+01, Ua= 9.320391E-01, err= 1.09569999098278E+01 ug( 5, 4, 4, 2)= 1.568892E+01, Ua= 3.894183E-01, err= 1.52995027680936E+01 ug( 5, 4, 4, 3)= 1.437037E+01, Ua= 7.173561E-01, err= 1.36530092494985E+01 ug( 5, 4, 4, 4)= 1.176987E+01, Ua= 9.320391E-01, err= 1.08378280252956E+01 ug( 5, 4, 4, 5)= 8.143879E+00, Ua= 9.995736E-01, err= 7.14430531198240E+00 ug( 5, 4, 5, 2)= 1.201334E+01, Ua= 7.173561E-01, err= 1.12959829867174E+01 ug( 5, 4, 5, 3)= 9.891288E+00, Ua= 9.320391E-01, err= 8.95924866525583E+00 ug( 5, 4, 5, 4)= 6.927305E+00, Ua= 9.995736E-01, err= 5.92773100471688E+00 ug( 5, 4, 5, 5)= 3.368060E+00, Ua= 9.092974E-01, err= 2.45876252116229E+00 ug( 5, 5, 2, 2)= 1.485571E+01, Ua= 2.220446E-16, err= 1.48557056604571E+01 ug( 5, 5, 2, 3)= 1.396411E+01, Ua= 3.894183E-01, err= 1.35746899631568E+01 ug( 5, 5, 2, 4)= 1.215994E+01, Ua= 7.173561E-01, err= 1.14425813501059E+01 ug( 5, 5, 2, 5)= 9.538999E+00, Ua= 9.320391E-01, err= 8.60696025810750E+00 ug( 5, 5, 3, 2)= 1.444929E+01, Ua= 3.894183E-01, err= 1.40598754274533E+01 ug( 5, 5, 3, 3)= 1.301238E+01, Ua= 7.173561E-01, err= 1.22950198260242E+01 ug( 5, 5, 3, 4)= 1.055905E+01, Ua= 9.320391E-01, err= 9.62700776224609E+00 ug( 5, 5, 3, 5)= 7.278368E+00, Ua= 9.995736E-01, err= 6.27879399001520E+00 ug( 5, 5, 4, 2)= 1.201334E+01, Ua= 7.173561E-01, err= 1.12959829867889E+01 ug( 5, 5, 4, 3)= 9.891288E+00, Ua= 9.320391E-01, err= 8.95924866533218E+00 ug( 5, 5, 4, 4)= 6.927305E+00, Ua= 9.995736E-01, err= 5.92773100475720E+00 ug( 5, 5, 4, 5)= 3.368060E+00, Ua= 9.092974E-01, err= 2.45876252116517E+00 ug( 5, 5, 5, 2)= 8.475096E+00, Ua= 9.320391E-01, err= 7.54305737407360E+00 ug( 5, 5, 5, 3)= 5.763567E+00, Ua= 9.995736E-01, err= 4.76399389064421E+00 ug( 5, 5, 5, 4)= 2.540949E+00, Ua= 9.092974E-01, err= 1.63165137798637E+00 ug( 5, 5, 5, 5)= -9.533582E-01, Ua= 6.754632E-01, err= 1.62882139746576E+00 total CPU time = 0.732699000 seconds maxerr= 2.46565070585287E+01, avgerr= 3.23507470470556E+00 end second test pde44h_eq.adb running Given uxxxx(x,y,z,t) + uyyyy(x,y,z,t) + uzzzz(x,y,z,t) + utttt(x,y,z,t) + 2 uxx(x,y,z,t) + 2 uyy(x,y,z,t) + 2 uzz(x,y,z,t) + 2 u(x,y,z,t) = 0 xmin<=x<=xmax ymin<=y<=ymax zmin<=z<=zmax Boundaries Analytic solution u(x,y,z,t) = sin(x+y+z+t) xmin=-1.00000000000000E+00, xmax= 1.57000000000000E+00 ymin=-1.00000000000000E+00, ymax= 1.57000000000000E+00 zmin=-1.00000000000000E+00, zmax= 1.57000000000000E+00 tmin=-1.00000000000000E+00, tmax= 1.57000000000000E+00 nx= 6, ny= 6, nz= 6, nt= 6 x grid, hx= 5.14000000000000E-01 xg( 1)=-1.00000000000000E+00 xg( 2)=-4.86000000000000E-01 xg( 3)= 2.80000000000000E-02 xg( 4)= 5.42000000000000E-01 xg( 5)= 1.05600000000000E+00 xg( 6)= 1.57000000000000E+00 y grid, hy= 5.14000000000000E-01 yg( 1)=-1.00000000000000E+00 yg( 2)=-4.86000000000000E-01 yg( 3)= 2.80000000000000E-02 yg( 4)= 5.42000000000000E-01 yg( 5)= 1.05600000000000E+00 yg( 6)= 1.57000000000000E+00 z grid, hz= 5.14000000000000E-01 zg( 1)=-1.00000000000000E+00 zg( 2)=-4.86000000000000E-01 zg( 3)= 2.80000000000000E-02 zg( 4)= 5.42000000000000E-01 zg( 5)= 1.05600000000000E+00 zg( 6)= 1.57000000000000E+00 t grid, ht= 5.14000000000000E-01 tg( 1)=-1.00000000000000E+00 tg( 2)=-4.86000000000000E-01 tg( 3)= 2.80000000000000E-02 tg( 4)= 5.42000000000000E-01 tg( 5)= 1.05600000000000E+00 tg( 6)= 1.57000000000000E+00 put solution in Ua vector time for previous section = 0.000323000 seconds initialize A time for previous section = 0.001762000 seconds compute A matrix and Y RHS check rderiv(4,nx,1,hx,cxxxx cxxxx( 1)= 4.29802343087577E+01 cxxxx( 2)=-2.00574426774202E+02 cxxxx( 3)= 3.72495364009233E+02 cxxxx( 4)=-3.43841874470061E+02 cxxxx( 5)= 1.57594192465445E+02 cxxxx( 6)=-2.86534895391718E+01 check rderiv(4,nx,nx,hx,cxxxx cxxxx( 1)=-2.86534895391718E+01 cxxxx( 2)= 1.57594192465445E+02 cxxxx( 3)=-3.43841874470061E+02 cxxxx( 4)= 3.72495364009233E+02 cxxxx( 5)=-2.00574426774202E+02 cxxxx( 6)= 4.29802343087577E+01 A computed stiffness matrix time for previous section = 0.018189000 seconds solve 256 equations in 256 unknowns equations solved time for previous section = 0.584731000 seconds check pde against known solution check_soln maxerr= 7.90403435964219E-01 check pde against computed solution check_soln maxerr= 3.07482858237626E+03 U computed, Ua analytic, error ug( 2, 2, 2, 2)= 2.972357E+01, Ua= -9.311641E-01, err= 3.06547369127166E+01 ug( 2, 2, 2, 3)= 3.551779E+01, Ua= -9.901046E-01, err= 3.65078945057360E+01 ug( 2, 2, 2, 4)= 3.964088E+01, Ua= -7.931720E-01, err= 4.04340499259968E+01 ug( 2, 2, 2, 5)= 4.180761E+01, Ua= -3.912597E-01, err= 4.21988681915168E+01 ug( 2, 2, 3, 2)= 4.040266E+01, Ua= -9.901046E-01, err= 4.13927623662247E+01 ug( 2, 2, 3, 3)= 4.631012E+01, Ua= -7.931720E-01, err= 4.71032931332045E+01 ug( 2, 2, 3, 4)= 4.958087E+01, Ua= -3.912597E-01, err= 4.99721260816381E+01 ug( 2, 2, 3, 5)= 4.986433E+01, Ua= 1.117660E-01, err= 4.97525658459126E+01 ug( 2, 2, 4, 2)= 4.484170E+01, Ua= -7.931720E-01, err= 4.56348690075364E+01 ug( 2, 2, 4, 3)= 4.970760E+01, Ua= -3.912597E-01, err= 5.00988602630468E+01 ug( 2, 2, 4, 4)= 5.161957E+01, Ua= 1.117660E-01, err= 5.15078046809443E+01 ug( 2, 2, 4, 5)= 5.026178E+01, Ua= 5.859079E-01, err= 4.96758741928308E+01 ug( 2, 2, 5, 2)= 4.192016E+01, Ua= -3.912597E-01, err= 4.23114157823042E+01 ug( 2, 2, 5, 3)= 4.484856E+01, Ua= 1.117660E-01, err= 4.47367931656438E+01 ug( 2, 2, 5, 4)= 4.529970E+01, Ua= 5.859079E-01, err= 4.47137949581926E+01 ug( 2, 2, 5, 5)= 4.303432E+01, Ua= 9.086335E-01, err= 4.21256878782988E+01 ug( 2, 3, 2, 2)= 4.040266E+01, Ua= -9.901046E-01, err= 4.13927623666286E+01 ug( 2, 3, 2, 3)= 4.631012E+01, Ua= -7.931720E-01, err= 4.71032931331902E+01 ug( 2, 3, 2, 4)= 4.958087E+01, Ua= -3.912597E-01, err= 4.99721260814269E+01 ug( 2, 3, 2, 5)= 4.986433E+01, Ua= 1.117660E-01, err= 4.97525658457401E+01 ug( 2, 3, 3, 2)= 5.258527E+01, Ua= -7.931720E-01, err= 5.33784429606802E+01 ug( 2, 3, 3, 3)= 5.867912E+01, Ua= -3.912597E-01, err= 5.90703783501097E+01 ug( 2, 3, 3, 4)= 6.072240E+01, Ua= 1.117660E-01, err= 6.06106311887214E+01 ug( 2, 3, 3, 5)= 5.837427E+01, Ua= 5.859079E-01, err= 5.77883592540212E+01 ug( 2, 3, 4, 2)= 5.564159E+01, Ua= -3.912597E-01, err= 5.60328494944502E+01 ug( 2, 3, 4, 3)= 6.033185E+01, Ua= 1.117660E-01, err= 6.02200790441872E+01 ug( 2, 3, 4, 4)= 6.065191E+01, Ua= 5.859079E-01, err= 6.00660039807628E+01 ug( 2, 3, 4, 5)= 5.638665E+01, Ua= 9.086335E-01, err= 5.54780148629483E+01 ug( 2, 3, 5, 2)= 4.910744E+01, Ua= 1.117660E-01, err= 4.89956740874137E+01 ug( 2, 3, 5, 3)= 5.122269E+01, Ua= 5.859079E-01, err= 5.06367825429238E+01 ug( 2, 3, 5, 4)= 4.987401E+01, Ua= 9.086335E-01, err= 4.89653781388060E+01 ug( 2, 3, 5, 5)= 4.497386E+01, Ua= 9.965406E-01, err= 4.39773221911003E+01 ug( 2, 4, 2, 2)= 4.484170E+01, Ua= -7.931720E-01, err= 4.56348690077956E+01 ug( 2, 4, 2, 3)= 4.970760E+01, Ua= -3.912597E-01, err= 5.00988602630157E+01 ug( 2, 4, 2, 4)= 5.161957E+01, Ua= 1.117660E-01, err= 5.15078046806570E+01 ug( 2, 4, 2, 5)= 5.026178E+01, Ua= 5.859079E-01, err= 4.96758741925204E+01 ug( 2, 4, 3, 2)= 5.564159E+01, Ua= -3.912597E-01, err= 5.60328494947077E+01 ug( 2, 4, 3, 3)= 6.033185E+01, Ua= 1.117660E-01, err= 6.02200790441845E+01 ug( 2, 4, 3, 4)= 6.065191E+01, Ua= 5.859079E-01, err= 6.00660039804999E+01 ug( 2, 4, 3, 5)= 5.638665E+01, Ua= 9.086335E-01, err= 5.54780148626167E+01 ug( 2, 4, 4, 2)= 5.666408E+01, Ua= 1.117660E-01, err= 5.65523179821064E+01 ug( 2, 4, 4, 3)= 5.961953E+01, Ua= 5.859079E-01, err= 5.90336220038598E+01 ug( 2, 4, 4, 4)= 5.798521E+01, Ua= 9.086335E-01, err= 5.70765758748606E+01 ug( 2, 4, 4, 5)= 5.173721E+01, Ua= 9.965406E-01, err= 5.07406706694907E+01 ug( 2, 4, 5, 2)= 4.845107E+01, Ua= 5.859079E-01, err= 4.78651634033187E+01 ug( 2, 4, 5, 3)= 4.867570E+01, Ua= 9.086335E-01, err= 4.77670647629471E+01 ug( 2, 4, 5, 4)= 4.534008E+01, Ua= 9.965406E-01, err= 4.43435400955243E+01 ug( 2, 4, 5, 5)= 3.856104E+01, Ua= 8.269113E-01, err= 3.77341295697616E+01 ug( 2, 5, 2, 2)= 4.192016E+01, Ua= -3.912597E-01, err= 4.23114157826705E+01 ug( 2, 5, 2, 3)= 4.484856E+01, Ua= 1.117660E-01, err= 4.47367931656882E+01 ug( 2, 5, 2, 4)= 4.529970E+01, Ua= 5.859079E-01, err= 4.47137949579537E+01 ug( 2, 5, 2, 5)= 4.303432E+01, Ua= 9.086335E-01, err= 4.21256878777237E+01 ug( 2, 5, 3, 2)= 4.910744E+01, Ua= 1.117660E-01, err= 4.89956740875299E+01 ug( 2, 5, 3, 3)= 5.122269E+01, Ua= 5.859079E-01, err= 5.06367825428945E+01 ug( 2, 5, 3, 4)= 4.987401E+01, Ua= 9.086335E-01, err= 4.89653781386177E+01 ug( 2, 5, 3, 5)= 4.497386E+01, Ua= 9.965406E-01, err= 4.39773221908007E+01 ug( 2, 5, 4, 2)= 4.845107E+01, Ua= 5.859079E-01, err= 4.78651634034193E+01 ug( 2, 5, 4, 3)= 4.867570E+01, Ua= 9.086335E-01, err= 4.77670647629197E+01 ug( 2, 5, 4, 4)= 4.534008E+01, Ua= 9.965406E-01, err= 4.43435400954857E+01 ug( 2, 5, 4, 5)= 3.856104E+01, Ua= 8.269113E-01, err= 3.77341295696314E+01 ug( 2, 5, 5, 2)= 4.100979E+01, Ua= 9.086335E-01, err= 4.01011610584484E+01 ug( 2, 5, 5, 3)= 3.885282E+01, Ua= 9.965406E-01, err= 3.78562819818752E+01 ug( 2, 5, 5, 4)= 3.391598E+01, Ua= 8.269113E-01, err= 3.30890710272703E+01 ug( 2, 5, 5, 5)= 2.645252E+01, Ua= 4.435831E-01, err= 2.60089374874482E+01 ug( 3, 2, 2, 2)= 4.040266E+01, Ua= -9.901046E-01, err= 4.13927623664375E+01 ug( 3, 2, 2, 3)= 4.631012E+01, Ua= -7.931720E-01, err= 4.71032931332010E+01 ug( 3, 2, 2, 4)= 4.958087E+01, Ua= -3.912597E-01, err= 4.99721260813893E+01 ug( 3, 2, 2, 5)= 4.986433E+01, Ua= 1.117660E-01, err= 4.97525658457749E+01 ug( 3, 2, 3, 2)= 5.258527E+01, Ua= -7.931720E-01, err= 5.33784429606915E+01 ug( 3, 2, 3, 3)= 5.867912E+01, Ua= -3.912597E-01, err= 5.90703783500449E+01 ug( 3, 2, 3, 4)= 6.072240E+01, Ua= 1.117660E-01, err= 6.06106311887507E+01 ug( 3, 2, 3, 5)= 5.837427E+01, Ua= 5.859079E-01, err= 5.77883592538594E+01 ug( 3, 2, 4, 2)= 5.564159E+01, Ua= -3.912597E-01, err= 5.60328494945324E+01 ug( 3, 2, 4, 3)= 6.033185E+01, Ua= 1.117660E-01, err= 6.02200790441640E+01 ug( 3, 2, 4, 4)= 6.065191E+01, Ua= 5.859079E-01, err= 6.00660039805835E+01 ug( 3, 2, 4, 5)= 5.638665E+01, Ua= 9.086335E-01, err= 5.54780148626653E+01 ug( 3, 2, 5, 2)= 4.910744E+01, Ua= 1.117660E-01, err= 4.89956740874183E+01 ug( 3, 2, 5, 3)= 5.122269E+01, Ua= 5.859079E-01, err= 5.06367825428904E+01 ug( 3, 2, 5, 4)= 4.987401E+01, Ua= 9.086335E-01, err= 4.89653781387958E+01 ug( 3, 2, 5, 5)= 4.497386E+01, Ua= 9.965406E-01, err= 4.39773221910704E+01 ug( 3, 3, 2, 2)= 5.258527E+01, Ua= -7.931720E-01, err= 5.33784429608948E+01 ug( 3, 3, 2, 3)= 5.867912E+01, Ua= -3.912597E-01, err= 5.90703783501260E+01 ug( 3, 3, 2, 4)= 6.072240E+01, Ua= 1.117660E-01, err= 6.06106311886406E+01 ug( 3, 3, 2, 5)= 5.837427E+01, Ua= 5.859079E-01, err= 5.77883592538939E+01 ug( 3, 3, 3, 2)= 6.654765E+01, Ua= -3.912597E-01, err= 6.69389050812137E+01 ug( 3, 3, 3, 3)= 7.292660E+01, Ua= 1.117660E-01, err= 7.28148300068465E+01 ug( 3, 3, 3, 4)= 7.327407E+01, Ua= 5.859079E-01, err= 7.26881665023319E+01 ug( 3, 3, 3, 5)= 6.739144E+01, Ua= 9.086335E-01, err= 6.64828034538938E+01 ug( 3, 3, 4, 2)= 6.747131E+01, Ua= 1.117660E-01, err= 6.73595455714266E+01 ug( 3, 3, 4, 3)= 7.197716E+01, Ua= 5.859079E-01, err= 7.13912476535238E+01 ug( 3, 3, 4, 4)= 7.023092E+01, Ua= 9.086335E-01, err= 6.93222862388892E+01 ug( 3, 3, 4, 5)= 6.227876E+01, Ua= 9.965406E-01, err= 6.12822192225626E+01 ug( 3, 3, 5, 2)= 5.608000E+01, Ua= 5.859079E-01, err= 5.54940895540739E+01 ug( 3, 3, 5, 3)= 5.722986E+01, Ua= 9.086335E-01, err= 5.63212293582777E+01 ug( 3, 3, 5, 4)= 5.371986E+01, Ua= 9.965406E-01, err= 5.27233148654529E+01 ug( 3, 3, 5, 5)= 4.574605E+01, Ua= 8.269113E-01, err= 4.49191364555293E+01 ug( 3, 4, 2, 2)= 5.564159E+01, Ua= -3.912597E-01, err= 5.60328494947336E+01 ug( 3, 4, 2, 3)= 6.033185E+01, Ua= 1.117660E-01, err= 6.02200790442770E+01 ug( 3, 4, 2, 4)= 6.065191E+01, Ua= 5.859079E-01, err= 6.00660039804745E+01 ug( 3, 4, 2, 5)= 5.638665E+01, Ua= 9.086335E-01, err= 5.54780148625501E+01 ug( 3, 4, 3, 2)= 6.747131E+01, Ua= 1.117660E-01, err= 6.73595455716474E+01 ug( 3, 4, 3, 3)= 7.197716E+01, Ua= 5.859079E-01, err= 7.13912476535639E+01 ug( 3, 4, 3, 4)= 7.023092E+01, Ua= 9.086335E-01, err= 6.93222862387495E+01 ug( 3, 4, 3, 5)= 6.227876E+01, Ua= 9.965406E-01, err= 6.12822192222853E+01 ug( 3, 4, 4, 2)= 6.577915E+01, Ua= 5.859079E-01, err= 6.51932450290587E+01 ug( 3, 4, 4, 3)= 6.806571E+01, Ua= 9.086335E-01, err= 6.71570726901893E+01 ug( 3, 4, 4, 4)= 6.407747E+01, Ua= 9.965406E-01, err= 6.30809341725244E+01 ug( 3, 4, 4, 5)= 5.416693E+01, Ua= 8.269113E-01, err= 5.33400231570862E+01 ug( 3, 4, 5, 2)= 5.265988E+01, Ua= 9.086335E-01, err= 5.17512482756985E+01 ug( 3, 4, 5, 3)= 5.155819E+01, Ua= 9.965406E-01, err= 5.05616492480059E+01 ug( 3, 4, 5, 4)= 4.593169E+01, Ua= 8.269113E-01, err= 4.51047756253803E+01 ug( 3, 4, 5, 5)= 3.625690E+01, Ua= 4.435831E-01, err= 3.58133192802205E+01 ug( 3, 5, 2, 2)= 4.910744E+01, Ua= 1.117660E-01, err= 4.89956740874973E+01 ug( 3, 5, 2, 3)= 5.122269E+01, Ua= 5.859079E-01, err= 5.06367825430145E+01 ug( 3, 5, 2, 4)= 4.987401E+01, Ua= 9.086335E-01, err= 4.89653781386274E+01 ug( 3, 5, 2, 5)= 4.497386E+01, Ua= 9.965406E-01, err= 4.39773221907871E+01 ug( 3, 5, 3, 2)= 5.608000E+01, Ua= 5.859079E-01, err= 5.54940895542917E+01 ug( 3, 5, 3, 3)= 5.722986E+01, Ua= 9.086335E-01, err= 5.63212293583639E+01 ug( 3, 5, 3, 4)= 5.371986E+01, Ua= 9.965406E-01, err= 5.27233148653201E+01 ug( 3, 5, 3, 5)= 4.574605E+01, Ua= 8.269113E-01, err= 4.49191364552726E+01 ug( 3, 5, 4, 2)= 5.265988E+01, Ua= 9.086335E-01, err= 5.17512482757718E+01 ug( 3, 5, 4, 3)= 5.155819E+01, Ua= 9.965406E-01, err= 5.05616492480301E+01 ug( 3, 5, 4, 4)= 4.593169E+01, Ua= 8.269113E-01, err= 4.51047756253230E+01 ug( 3, 5, 4, 5)= 3.625690E+01, Ua= 4.435831E-01, err= 3.58133192801483E+01 ug( 3, 5, 5, 2)= 4.133635E+01, Ua= 9.965406E-01, err= 4.03398067923053E+01 ug( 3, 5, 5, 3)= 3.752934E+01, Ua= 8.269113E-01, err= 3.67024236932526E+01 ug( 3, 5, 5, 4)= 3.050956E+01, Ua= 4.435831E-01, err= 3.00659775932401E+01 ug( 3, 5, 5, 5)= 2.085077E+01, Ua= -5.438051E-02, err= 2.09051498891436E+01 ug( 4, 2, 2, 2)= 4.484170E+01, Ua= -7.931720E-01, err= 4.56348690078689E+01 ug( 4, 2, 2, 3)= 4.970760E+01, Ua= -3.912597E-01, err= 5.00988602632223E+01 ug( 4, 2, 2, 4)= 5.161957E+01, Ua= 1.117660E-01, err= 5.15078046807566E+01 ug( 4, 2, 2, 5)= 5.026178E+01, Ua= 5.859079E-01, err= 4.96758741923699E+01 ug( 4, 2, 3, 2)= 5.564159E+01, Ua= -3.912597E-01, err= 5.60328494948909E+01 ug( 4, 2, 3, 3)= 6.033185E+01, Ua= 1.117660E-01, err= 6.02200790442900E+01 ug( 4, 2, 3, 4)= 6.065191E+01, Ua= 5.859079E-01, err= 6.00660039804697E+01 ug( 4, 2, 3, 5)= 5.638665E+01, Ua= 9.086335E-01, err= 5.54780148624804E+01 ug( 4, 2, 4, 2)= 5.666408E+01, Ua= 1.117660E-01, err= 5.65523179821879E+01 ug( 4, 2, 4, 3)= 5.961953E+01, Ua= 5.859079E-01, err= 5.90336220037477E+01 ug( 4, 2, 4, 4)= 5.798521E+01, Ua= 9.086335E-01, err= 5.70765758746900E+01 ug( 4, 2, 4, 5)= 5.173721E+01, Ua= 9.965406E-01, err= 5.07406706693512E+01 ug( 4, 2, 5, 2)= 4.845107E+01, Ua= 5.859079E-01, err= 4.78651634033114E+01 ug( 4, 2, 5, 3)= 4.867570E+01, Ua= 9.086335E-01, err= 4.77670647628626E+01 ug( 4, 2, 5, 4)= 4.534008E+01, Ua= 9.965406E-01, err= 4.43435400954168E+01 ug( 4, 2, 5, 5)= 3.856104E+01, Ua= 8.269113E-01, err= 3.77341295696814E+01 ug( 4, 3, 2, 2)= 5.564159E+01, Ua= -3.912597E-01, err= 5.60328494947682E+01 ug( 4, 3, 2, 3)= 6.033185E+01, Ua= 1.117660E-01, err= 6.02200790443857E+01 ug( 4, 3, 2, 4)= 6.065191E+01, Ua= 5.859079E-01, err= 6.00660039804806E+01 ug( 4, 3, 2, 5)= 5.638665E+01, Ua= 9.086335E-01, err= 5.54780148625167E+01 ug( 4, 3, 3, 2)= 6.747131E+01, Ua= 1.117660E-01, err= 6.73595455718204E+01 ug( 4, 3, 3, 3)= 7.197716E+01, Ua= 5.859079E-01, err= 7.13912476536645E+01 ug( 4, 3, 3, 4)= 7.023092E+01, Ua= 9.086335E-01, err= 6.93222862387139E+01 ug( 4, 3, 3, 5)= 6.227876E+01, Ua= 9.965406E-01, err= 6.12822192222489E+01 ug( 4, 3, 4, 2)= 6.577915E+01, Ua= 5.859079E-01, err= 6.51932450291179E+01 ug( 4, 3, 4, 3)= 6.806571E+01, Ua= 9.086335E-01, err= 6.71570726901268E+01 ug( 4, 3, 4, 4)= 6.407747E+01, Ua= 9.965406E-01, err= 6.30809341724058E+01 ug( 4, 3, 4, 5)= 5.416693E+01, Ua= 8.269113E-01, err= 5.33400231568735E+01 ug( 4, 3, 5, 2)= 5.265988E+01, Ua= 9.086335E-01, err= 5.17512482756503E+01 ug( 4, 3, 5, 3)= 5.155819E+01, Ua= 9.965406E-01, err= 5.05616492479358E+01 ug( 4, 3, 5, 4)= 4.593169E+01, Ua= 8.269113E-01, err= 4.51047756252455E+01 ug( 4, 3, 5, 5)= 3.625690E+01, Ua= 4.435831E-01, err= 3.58133192801458E+01 ug( 4, 4, 2, 2)= 5.666408E+01, Ua= 1.117660E-01, err= 5.65523179823293E+01 ug( 4, 4, 2, 3)= 5.961953E+01, Ua= 5.859079E-01, err= 5.90336220039647E+01 ug( 4, 4, 2, 4)= 5.798521E+01, Ua= 9.086335E-01, err= 5.70765758747681E+01 ug( 4, 4, 2, 5)= 5.173721E+01, Ua= 9.965406E-01, err= 5.07406706692612E+01 ug( 4, 4, 3, 2)= 6.577915E+01, Ua= 5.859079E-01, err= 6.51932450292364E+01 ug( 4, 4, 3, 3)= 6.806571E+01, Ua= 9.086335E-01, err= 6.71570726902768E+01 ug( 4, 4, 3, 4)= 6.407747E+01, Ua= 9.965406E-01, err= 6.30809341724587E+01 ug( 4, 4, 3, 5)= 5.416693E+01, Ua= 8.269113E-01, err= 5.33400231568504E+01 ug( 4, 4, 4, 2)= 6.125139E+01, Ua= 9.086335E-01, err= 6.03427561998947E+01 ug( 4, 4, 4, 3)= 6.105257E+01, Ua= 9.965406E-01, err= 6.00560251712040E+01 ug( 4, 4, 4, 4)= 5.481078E+01, Ua= 8.269113E-01, err= 5.39838726567823E+01 ug( 4, 4, 4, 5)= 4.322531E+01, Ua= 4.435831E-01, err= 4.27817307070854E+01 ug( 4, 4, 5, 2)= 4.660232E+01, Ua= 9.965406E-01, err= 4.56057759418699E+01 ug( 4, 4, 5, 3)= 4.314863E+01, Ua= 8.269113E-01, err= 4.23217164667901E+01 ug( 4, 4, 5, 4)= 3.555100E+01, Ua= 4.435831E-01, err= 3.51074216214968E+01 ug( 4, 4, 5, 5)= 2.457613E+01, Ua= -5.438051E-02, err= 2.46305084610466E+01 ug( 4, 5, 2, 2)= 4.845107E+01, Ua= 5.859079E-01, err= 4.78651634035037E+01 ug( 4, 5, 2, 3)= 4.867570E+01, Ua= 9.086335E-01, err= 4.77670647629653E+01 ug( 4, 5, 2, 4)= 4.534008E+01, Ua= 9.965406E-01, err= 4.43435400954594E+01 ug( 4, 5, 2, 5)= 3.856104E+01, Ua= 8.269113E-01, err= 3.77341295696054E+01 ug( 4, 5, 3, 2)= 5.265988E+01, Ua= 9.086335E-01, err= 5.17512482758018E+01 ug( 4, 5, 3, 3)= 5.155819E+01, Ua= 9.965406E-01, err= 5.05616492481114E+01 ug( 4, 5, 3, 4)= 4.593169E+01, Ua= 8.269113E-01, err= 4.51047756252397E+01 ug( 4, 5, 3, 5)= 3.625690E+01, Ua= 4.435831E-01, err= 3.58133192800513E+01 ug( 4, 5, 4, 2)= 4.660232E+01, Ua= 9.965406E-01, err= 4.56057759419555E+01 ug( 4, 5, 4, 3)= 4.314863E+01, Ua= 8.269113E-01, err= 4.23217164668710E+01 ug( 4, 5, 4, 4)= 3.555100E+01, Ua= 4.435831E-01, err= 3.51074216215010E+01 ug( 4, 5, 4, 5)= 2.457613E+01, Ua= -5.438051E-02, err= 2.46305084610369E+01 ug( 4, 5, 5, 2)= 3.392206E+01, Ua= 8.269113E-01, err= 3.30951514480702E+01 ug( 4, 5, 5, 3)= 2.803532E+01, Ua= 4.435831E-01, err= 2.75917341454694E+01 ug( 4, 5, 5, 4)= 1.944248E+01, Ua= -5.438051E-02, err= 1.94968628194003E+01 ug( 4, 5, 5, 5)= 8.941622E+00, Ua= -5.382905E-01, err= 9.47991217334470E+00 ug( 5, 2, 2, 2)= 4.192016E+01, Ua= -3.912597E-01, err= 4.23114157827172E+01 ug( 5, 2, 2, 3)= 4.484856E+01, Ua= 1.117660E-01, err= 4.47367931658170E+01 ug( 5, 2, 2, 4)= 4.529970E+01, Ua= 5.859079E-01, err= 4.47137949580383E+01 ug( 5, 2, 2, 5)= 4.303432E+01, Ua= 9.086335E-01, err= 4.21256878777670E+01 ug( 5, 2, 3, 2)= 4.910744E+01, Ua= 1.117660E-01, err= 4.89956740876602E+01 ug( 5, 2, 3, 3)= 5.122269E+01, Ua= 5.859079E-01, err= 5.06367825430093E+01 ug( 5, 2, 3, 4)= 4.987401E+01, Ua= 9.086335E-01, err= 4.89653781385323E+01 ug( 5, 2, 3, 5)= 4.497386E+01, Ua= 9.965406E-01, err= 4.39773221906761E+01 ug( 5, 2, 4, 2)= 4.845107E+01, Ua= 5.859079E-01, err= 4.78651634034907E+01 ug( 5, 2, 4, 3)= 4.867570E+01, Ua= 9.086335E-01, err= 4.77670647628778E+01 ug( 5, 2, 4, 4)= 4.534008E+01, Ua= 9.965406E-01, err= 4.43435400953108E+01 ug( 5, 2, 4, 5)= 3.856104E+01, Ua= 8.269113E-01, err= 3.77341295694337E+01 ug( 5, 2, 5, 2)= 4.100979E+01, Ua= 9.086335E-01, err= 4.01011610582557E+01 ug( 5, 2, 5, 3)= 3.885282E+01, Ua= 9.965406E-01, err= 3.78562819817903E+01 ug( 5, 2, 5, 4)= 3.391598E+01, Ua= 8.269113E-01, err= 3.30890710271225E+01 ug( 5, 2, 5, 5)= 2.645252E+01, Ua= 4.435831E-01, err= 2.60089374873464E+01 ug( 5, 3, 2, 2)= 4.910744E+01, Ua= 1.117660E-01, err= 4.89956740877025E+01 ug( 5, 3, 2, 3)= 5.122269E+01, Ua= 5.859079E-01, err= 5.06367825430748E+01 ug( 5, 3, 2, 4)= 4.987401E+01, Ua= 9.086335E-01, err= 4.89653781386331E+01 ug( 5, 3, 2, 5)= 4.497386E+01, Ua= 9.965406E-01, err= 4.39773221907389E+01 ug( 5, 3, 3, 2)= 5.608000E+01, Ua= 5.859079E-01, err= 5.54940895544420E+01 ug( 5, 3, 3, 3)= 5.722986E+01, Ua= 9.086335E-01, err= 5.63212293584474E+01 ug( 5, 3, 3, 4)= 5.371986E+01, Ua= 9.965406E-01, err= 5.27233148652438E+01 ug( 5, 3, 3, 5)= 4.574605E+01, Ua= 8.269113E-01, err= 4.49191364551338E+01 ug( 5, 3, 4, 2)= 5.265988E+01, Ua= 9.086335E-01, err= 5.17512482757983E+01 ug( 5, 3, 4, 3)= 5.155819E+01, Ua= 9.965406E-01, err= 5.05616492479901E+01 ug( 5, 3, 4, 4)= 4.593169E+01, Ua= 8.269113E-01, err= 4.51047756251328E+01 ug( 5, 3, 4, 5)= 3.625690E+01, Ua= 4.435831E-01, err= 3.58133192799214E+01 ug( 5, 3, 5, 2)= 4.133635E+01, Ua= 9.965406E-01, err= 4.03398067922947E+01 ug( 5, 3, 5, 3)= 3.752934E+01, Ua= 8.269113E-01, err= 3.67024236930699E+01 ug( 5, 3, 5, 4)= 3.050956E+01, Ua= 4.435831E-01, err= 3.00659775930749E+01 ug( 5, 3, 5, 5)= 2.085077E+01, Ua= -5.438051E-02, err= 2.09051498889711E+01 ug( 5, 4, 2, 2)= 4.845107E+01, Ua= 5.859079E-01, err= 4.78651634035735E+01 ug( 5, 4, 2, 3)= 4.867570E+01, Ua= 9.086335E-01, err= 4.77670647630355E+01 ug( 5, 4, 2, 4)= 4.534008E+01, Ua= 9.965406E-01, err= 4.43435400954604E+01 ug( 5, 4, 2, 5)= 3.856104E+01, Ua= 8.269113E-01, err= 3.77341295695434E+01 ug( 5, 4, 3, 2)= 5.265988E+01, Ua= 9.086335E-01, err= 5.17512482758793E+01 ug( 5, 4, 3, 3)= 5.155819E+01, Ua= 9.965406E-01, err= 5.05616492481251E+01 ug( 5, 4, 3, 4)= 4.593169E+01, Ua= 8.269113E-01, err= 4.51047756252546E+01 ug( 5, 4, 3, 5)= 3.625690E+01, Ua= 4.435831E-01, err= 3.58133192800128E+01 ug( 5, 4, 4, 2)= 4.660232E+01, Ua= 9.965406E-01, err= 4.56057759419823E+01 ug( 5, 4, 4, 3)= 4.314863E+01, Ua= 8.269113E-01, err= 4.23217164668493E+01 ug( 5, 4, 4, 4)= 3.555100E+01, Ua= 4.435831E-01, err= 3.51074216214160E+01 ug( 5, 4, 4, 5)= 2.457613E+01, Ua= -5.438051E-02, err= 2.46305084609072E+01 ug( 5, 4, 5, 2)= 3.392206E+01, Ua= 8.269113E-01, err= 3.30951514480664E+01 ug( 5, 4, 5, 3)= 2.803532E+01, Ua= 4.435831E-01, err= 2.75917341454318E+01 ug( 5, 4, 5, 4)= 1.944248E+01, Ua= -5.438051E-02, err= 1.94968628192764E+01 ug( 5, 4, 5, 5)= 8.941622E+00, Ua= -5.382905E-01, err= 9.47991217323163E+00 ug( 5, 5, 2, 2)= 4.100979E+01, Ua= 9.086335E-01, err= 4.01011610583836E+01 ug( 5, 5, 2, 3)= 3.885282E+01, Ua= 9.965406E-01, err= 3.78562819819284E+01 ug( 5, 5, 2, 4)= 3.391598E+01, Ua= 8.269113E-01, err= 3.30890710272593E+01 ug( 5, 5, 2, 5)= 2.645252E+01, Ua= 4.435831E-01, err= 2.60089374874467E+01 ug( 5, 5, 3, 2)= 4.133635E+01, Ua= 9.965406E-01, err= 4.03398067923951E+01 ug( 5, 5, 3, 3)= 3.752934E+01, Ua= 8.269113E-01, err= 3.67024236932254E+01 ug( 5, 5, 3, 4)= 3.050956E+01, Ua= 4.435831E-01, err= 3.00659775932446E+01 ug( 5, 5, 3, 5)= 2.085077E+01, Ua= -5.438051E-02, err= 2.09051498890815E+01 ug( 5, 5, 4, 2)= 3.392206E+01, Ua= 8.269113E-01, err= 3.30951514481139E+01 ug( 5, 5, 4, 3)= 2.803532E+01, Ua= 4.435831E-01, err= 2.75917341455143E+01 ug( 5, 5, 4, 4)= 1.944248E+01, Ua= -5.438051E-02, err= 1.94968628193436E+01 ug( 5, 5, 4, 5)= 8.941622E+00, Ua= -5.382905E-01, err= 9.47991217328685E+00 ug( 5, 5, 5, 2)= 2.240471E+01, Ua= 4.435831E-01, err= 2.19611295036187E+01 ug( 5, 5, 5, 3)= 1.482207E+01, Ua= -5.438051E-02, err= 1.48764529281662E+01 ug( 5, 5, 5, 4)= 5.676388E+00, Ua= -5.382905E-01, err= 6.21467803827690E+00 ug( 5, 5, 5, 5)= -4.244356E+00, Ua= -8.830899E-01, err= 3.36126578727073E+00 total CPU time = 0.731002000 seconds maxerr= 7.28148300068465E+01, avgerr= 9.36261834861982E+00 end pde44h_eq.adb