pde22_eq_10.c running differential equation to solve d^2u/dx^2 + d^2u/dy^2 = c(x,y) = 8 10 10 10 2^40 90 x (x - 1) y (y - 1) 9 9 10 10 + 200 x (x - 1) y (y - 1) 10 8 10 10 + 90 x (x - 1) y (y - 1) 10 10 8 10 + 90 x (x - 1) y (y - 1) 10 10 9 9 + 200 x (x - 1) y (y - 1) 10 10 10 8 + 90 x (x - 1) y (y - 1) uniform grid on rectangle 0,1 to 0,1 known Solution, for testing method u(x,y) = 2^40*x^10*(1-x)^10*y^4*(1-y)10 xg( 0)=0.000000 xg( 1)=0.052632 xg( 2)=0.105263 xg( 3)=0.157895 xg( 4)=0.210526 xg( 5)=0.263158 xg( 6)=0.315789 xg( 7)=0.368421 xg( 8)=0.421053 xg( 9)=0.473684 xg(10)=0.526316 xg(11)=0.578947 xg(12)=0.631579 xg(13)=0.684211 xg(14)=0.736842 xg(15)=0.789474 xg(16)=0.842105 xg(17)=0.894737 xg(18)=0.947368 xg(19)=1.000000 yg( 0)=0.000000 yg( 1)=0.052632 yg( 2)=0.105263 yg( 3)=0.157895 yg( 4)=0.210526 yg( 5)=0.263158 yg( 6)=0.315789 yg( 7)=0.368421 yg( 8)=0.421053 yg( 9)=0.473684 yg(10)=0.526316 yg(11)=0.578947 yg(12)=0.631579 yg(13)=0.684211 yg(14)=0.736842 yg(15)=0.789474 yg(16)=0.842105 yg(17)=0.894737 yg(18)=0.947368 yg(19)=1.000000 xmin=0.000000, xmax=1.000000, hx=0.052632, nx=20 ymin=0.000000, ymax=1.000000, hy=0.052632, ny=20 u(0.5,0.5)=1.000000 c(0.5,0.5)=-160.000000 internal cells zeroed matrix initialized row i= 1, j= 4, is bad err=0.0054267 row i= 1, j= 5, is bad err=0.0253515 row i= 1, j= 6, is bad err=0.0748117 row i= 1, j= 7, is bad err=0.15697 row i= 1, j= 8, is bad err=0.249948 row i= 1, j= 9, is bad err=0.312931 row i= 1, j=10, is bad err=0.312931 row i= 1, j=11, is bad err=0.249948 row i= 1, j=12, is bad err=0.15697 row i= 1, j=13, is bad err=0.0748117 row i= 1, j=14, is bad err=0.0253515 row i= 1, j=15, is bad err=0.0054267 row i= 2, j= 5, is bad err=-0.00218963 row i= 2, j= 6, is bad err=-0.00646159 row i= 2, j= 7, is bad err=-0.0135577 row i= 2, j= 8, is bad err=-0.0215884 row i= 2, j= 9, is bad err=-0.0270283 row i= 2, j=10, is bad err=-0.0270283 row i= 2, j=11, is bad err=-0.0215884 row i= 2, j=12, is bad err=-0.0135577 row i= 2, j=13, is bad err=-0.00646159 row i= 2, j=14, is bad err=-0.00218963 row i= 3, j= 7, is bad err=0.00190883 row i= 3, j= 8, is bad err=0.00303941 row i= 3, j= 9, is bad err=0.00380532 row i= 3, j=10, is bad err=0.00380532 row i= 3, j=11, is bad err=0.00303941 row i= 3, j=12, is bad err=0.00190883 row i= 4, j= 1, is bad err=0.0054267 row i= 4, j=18, is bad err=0.0054267 row i= 5, j= 1, is bad err=0.0253515 row i= 5, j= 2, is bad err=-0.00218963 row i= 5, j=17, is bad err=-0.00218963 row i= 5, j=18, is bad err=0.0253515 row i= 6, j= 1, is bad err=0.0748117 row i= 6, j= 2, is bad err=-0.00646159 row i= 6, j=17, is bad err=-0.00646159 row i= 6, j=18, is bad err=0.0748117 row i= 7, j= 1, is bad err=0.15697 row i= 7, j= 2, is bad err=-0.0135577 row i= 7, j= 3, is bad err=0.00190883 row i= 7, j=16, is bad err=0.00190883 row i= 7, j=17, is bad err=-0.0135577 row i= 7, j=18, is bad err=0.15697 row i= 8, j= 1, is bad err=0.249948 row i= 8, j= 2, is bad err=-0.0215884 row i= 8, j= 3, is bad err=0.00303941 row i= 8, j=16, is bad err=0.00303941 row i= 8, j=17, is bad err=-0.0215884 row i= 8, j=18, is bad err=0.249948 row i= 9, j= 1, is bad err=0.312931 row i= 9, j= 2, is bad err=-0.0270283 row i= 9, j= 3, is bad err=0.00380532 row i= 9, j=16, is bad err=0.00380532 row i= 9, j=17, is bad err=-0.0270283 row i= 9, j=18, is bad err=0.312931 row i=10, j= 1, is bad err=0.312931 row i=10, j= 2, is bad err=-0.0270283 row i=10, j= 3, is bad err=0.00380532 row i=10, j=16, is bad err=0.00380532 row i=10, j=17, is bad err=-0.0270283 row i=10, j=18, is bad err=0.312931 row i=11, j= 1, is bad err=0.249948 row i=11, j= 2, is bad err=-0.0215884 row i=11, j= 3, is bad err=0.00303941 row i=11, j=16, is bad err=0.00303941 row i=11, j=17, is bad err=-0.0215884 row i=11, j=18, is bad err=0.249948 row i=12, j= 1, is bad err=0.15697 row i=12, j= 2, is bad err=-0.0135577 row i=12, j= 3, is bad err=0.00190883 row i=12, j=16, is bad err=0.00190883 row i=12, j=17, is bad err=-0.0135577 row i=12, j=18, is bad err=0.15697 row i=13, j= 1, is bad err=0.0748117 row i=13, j= 2, is bad err=-0.00646159 row i=13, j=17, is bad err=-0.00646159 row i=13, j=18, is bad err=0.0748117 row i=14, j= 1, is bad err=0.0253515 row i=14, j= 2, is bad err=-0.00218963 row i=14, j=17, is bad err=-0.00218963 row i=14, j=18, is bad err=0.0253515 row i=15, j= 1, is bad err=0.0054267 row i=15, j=18, is bad err=0.0054267 row i=16, j= 7, is bad err=0.00190883 row i=16, j= 8, is bad err=0.00303941 row i=16, j= 9, is bad err=0.00380532 row i=16, j=10, is bad err=0.00380532 row i=16, j=11, is bad err=0.00303941 row i=16, j=12, is bad err=0.00190883 row i=17, j= 5, is bad err=-0.00218963 row i=17, j= 6, is bad err=-0.00646159 row i=17, j= 7, is bad err=-0.0135577 row i=17, j= 8, is bad err=-0.0215884 row i=17, j= 9, is bad err=-0.0270283 row i=17, j=10, is bad err=-0.0270283 row i=17, j=11, is bad err=-0.0215884 row i=17, j=12, is bad err=-0.0135577 row i=17, j=13, is bad err=-0.00646159 row i=17, j=14, is bad err=-0.00218963 row i=18, j= 4, is bad err=0.0054267 row i=18, j= 5, is bad err=0.0253515 row i=18, j= 6, is bad err=0.0748117 row i=18, j= 7, is bad err=0.15697 row i=18, j= 8, is bad err=0.249948 row i=18, j= 9, is bad err=0.312931 row i=18, j=10, is bad err=0.312931 row i=18, j=11, is bad err=0.249948 row i=18, j=12, is bad err=0.15697 row i=18, j=13, is bad err=0.0748117 row i=18, j=14, is bad err=0.0253515 row i=18, j=15, is bad err=0.0054267 check_soln against PDE check soln against PDE max error=0.000211595 exact solution u, computed us, error xg[ 0]=0.00000, yg[ 0]=0.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 0]=0.00000, yg[ 1]=0.05263, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 0]=0.00000, yg[ 2]=0.10526, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 0]=0.00000, yg[ 3]=0.15789, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 0]=0.00000, yg[ 4]=0.21053, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 0]=0.00000, yg[ 5]=0.26316, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 0]=0.00000, yg[ 6]=0.31579, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 0]=0.00000, yg[ 7]=0.36842, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 0]=0.00000, yg[ 8]=0.42105, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 0]=0.00000, yg[ 9]=0.47368, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 0]=0.00000, yg[10]=0.52632, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 0]=0.00000, yg[11]=0.57895, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 0]=0.00000, yg[12]=0.63158, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 0]=0.00000, yg[13]=0.68421, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 0]=0.00000, yg[14]=0.73684, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 0]=0.00000, yg[15]=0.78947, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 0]=0.00000, yg[16]=0.84211, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 0]=0.00000, yg[17]=0.89474, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 0]=0.00000, yg[18]=0.94737, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 0]=0.00000, yg[19]=1.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 1]=0.05263, yg[ 0]=0.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 1]=0.05263, yg[ 1]=0.05263, u= 9.919868e-15, us= 8.213865e-05, err= 8.213865e-05 xg[ 1]=0.05263, yg[ 2]=0.10526, u= 5.735483e-12, us= 1.574013e-04, err= 1.574013e-04 xg[ 1]=0.05263, yg[ 3]=0.15789, u= 1.803820e-10, us= 2.488823e-04, err= 2.488821e-04 xg[ 1]=0.05263, yg[ 4]=0.21053, u= 1.679938e-09, us= 3.913805e-04, err= 3.913788e-04 xg[ 1]=0.05263, yg[ 5]=0.26316, u= 7.848041e-09, us= 6.401405e-04, err= 6.401326e-04 xg[ 1]=0.05263, yg[ 6]=0.31579, u= 2.315938e-08, us= 1.040373e-03, err= 1.040350e-03 xg[ 1]=0.05263, yg[ 7]=0.36842, u= 4.859300e-08, us= 1.568888e-03, err= 1.568839e-03 xg[ 1]=0.05263, yg[ 8]=0.42105, u= 7.737623e-08, us= 2.097409e-03, err= 2.097332e-03 xg[ 1]=0.05263, yg[ 9]=0.47368, u= 9.687371e-08, us= 2.433966e-03, err= 2.433869e-03 xg[ 1]=0.05263, yg[10]=0.52632, u= 9.687371e-08, us= 2.433963e-03, err= 2.433866e-03 xg[ 1]=0.05263, yg[11]=0.57895, u= 7.737623e-08, us= 2.097399e-03, err= 2.097322e-03 xg[ 1]=0.05263, yg[12]=0.63158, u= 4.859300e-08, us= 1.568869e-03, err= 1.568820e-03 xg[ 1]=0.05263, yg[13]=0.68421, u= 2.315938e-08, us= 1.040339e-03, err= 1.040316e-03 xg[ 1]=0.05263, yg[14]=0.73684, u= 7.848041e-09, us= 6.400788e-04, err= 6.400710e-04 xg[ 1]=0.05263, yg[15]=0.78947, u= 1.679938e-09, us= 3.912631e-04, err= 3.912614e-04 xg[ 1]=0.05263, yg[16]=0.84211, u= 1.803820e-10, us= 2.486240e-04, err= 2.486238e-04 xg[ 1]=0.05263, yg[17]=0.89474, u= 5.735483e-12, us= 1.567272e-04, err= 1.567272e-04 xg[ 1]=0.05263, yg[18]=0.94737, u= 9.919868e-15, us= 8.028773e-05, err= 8.028773e-05 xg[ 1]=0.05263, yg[19]=1.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 2]=0.10526, yg[ 0]=0.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 2]=0.10526, yg[ 1]=0.05263, u= 5.735483e-12, us= 1.574241e-04, err= 1.574241e-04 xg[ 2]=0.10526, yg[ 2]=0.10526, u= 3.316150e-09, us= 2.992565e-04, err= 2.992532e-04 xg[ 2]=0.10526, yg[ 3]=0.15789, u= 1.042935e-07, us= 4.422476e-04, err= 4.421433e-04 xg[ 2]=0.10526, yg[ 4]=0.21053, u= 9.713091e-07, us= 6.124311e-04, err= 6.114598e-04 xg[ 2]=0.10526, yg[ 5]=0.26316, u= 4.537591e-06, us= 8.388269e-04, err= 8.342893e-04 xg[ 2]=0.10526, yg[ 6]=0.31579, u= 1.339032e-05, us= 1.135188e-03, err= 1.121798e-03 xg[ 2]=0.10526, yg[ 7]=0.36842, u= 2.809557e-05, us= 1.476634e-03, err= 1.448538e-03 xg[ 2]=0.10526, yg[ 8]=0.42105, u= 4.473750e-05, us= 1.790796e-03, err= 1.746058e-03 xg[ 2]=0.10526, yg[ 9]=0.47368, u= 5.601058e-05, us= 1.982132e-03, err= 1.926122e-03 xg[ 2]=0.10526, yg[10]=0.52632, u= 5.601058e-05, us= 1.982127e-03, err= 1.926116e-03 xg[ 2]=0.10526, yg[11]=0.57895, u= 4.473750e-05, us= 1.790778e-03, err= 1.746040e-03 xg[ 2]=0.10526, yg[12]=0.63158, u= 2.809557e-05, us= 1.476600e-03, err= 1.448505e-03 xg[ 2]=0.10526, yg[13]=0.68421, u= 1.339032e-05, us= 1.135131e-03, err= 1.121741e-03 xg[ 2]=0.10526, yg[14]=0.73684, u= 4.537591e-06, us= 8.387304e-04, err= 8.341928e-04 xg[ 2]=0.10526, yg[15]=0.78947, u= 9.713091e-07, us= 6.122639e-04, err= 6.112926e-04 xg[ 2]=0.10526, yg[16]=0.84211, u= 1.042935e-07, us= 4.419476e-04, err= 4.418434e-04 xg[ 2]=0.10526, yg[17]=0.89474, u= 3.316150e-09, us= 2.987314e-04, err= 2.987281e-04 xg[ 2]=0.10526, yg[18]=0.94737, u= 5.735483e-12, us= 1.567098e-04, err= 1.567098e-04 xg[ 2]=0.10526, yg[19]=1.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 3]=0.15789, yg[ 0]=0.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 3]=0.15789, yg[ 1]=0.05263, u= 1.803820e-10, us= 2.488919e-04, err= 2.488917e-04 xg[ 3]=0.15789, yg[ 2]=0.10526, u= 1.042935e-07, us= 4.422509e-04, err= 4.421466e-04 xg[ 3]=0.15789, yg[ 3]=0.15789, u= 3.280051e-06, us= 6.129180e-04, err= 6.096380e-04 xg[ 3]=0.15789, yg[ 4]=0.21053, u= 3.054785e-05, us= 8.071427e-04, err= 7.765948e-04 xg[ 3]=0.15789, yg[ 5]=0.26316, u= 1.427081e-04, us= 1.104930e-03, err= 9.622224e-04 xg[ 3]=0.15789, yg[ 6]=0.31579, u= 4.211281e-04, us= 1.591863e-03, err= 1.170734e-03 xg[ 3]=0.15789, yg[ 7]=0.36842, u= 8.836108e-04, us= 2.268438e-03, err= 1.384827e-03 xg[ 3]=0.15789, yg[ 8]=0.42105, u= 1.407003e-03, us= 2.974044e-03, err= 1.567041e-03 xg[ 3]=0.15789, yg[ 9]=0.47368, u= 1.761543e-03, us= 3.434717e-03, err= 1.673174e-03 xg[ 3]=0.15789, yg[10]=0.52632, u= 1.761543e-03, us= 3.434711e-03, err= 1.673167e-03 xg[ 3]=0.15789, yg[11]=0.57895, u= 1.407003e-03, us= 2.974022e-03, err= 1.567019e-03 xg[ 3]=0.15789, yg[12]=0.63158, u= 8.836108e-04, us= 2.268397e-03, err= 1.384787e-03 xg[ 3]=0.15789, yg[13]=0.68421, u= 4.211281e-04, us= 1.591797e-03, err= 1.170669e-03 xg[ 3]=0.15789, yg[14]=0.73684, u= 1.427081e-04, us= 1.104827e-03, err= 9.621193e-04 xg[ 3]=0.15789, yg[15]=0.78947, u= 3.054785e-05, us= 8.069841e-04, err= 7.764363e-04 xg[ 3]=0.15789, yg[16]=0.84211, u= 3.280051e-06, us= 6.126837e-04, err= 6.094037e-04 xg[ 3]=0.15789, yg[17]=0.89474, u= 1.042935e-07, us= 4.419450e-04, err= 4.418407e-04 xg[ 3]=0.15789, yg[18]=0.94737, u= 1.803820e-10, us= 2.486176e-04, err= 2.486174e-04 xg[ 3]=0.15789, yg[19]=1.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 4]=0.21053, yg[ 0]=0.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 4]=0.21053, yg[ 1]=0.05263, u= 1.679938e-09, us= 3.913828e-04, err= 3.913811e-04 xg[ 4]=0.21053, yg[ 2]=0.10526, u= 9.713091e-07, us= 6.124334e-04, err= 6.114621e-04 xg[ 4]=0.21053, yg[ 3]=0.15789, u= 3.054785e-05, us= 8.071434e-04, err= 7.765955e-04 xg[ 4]=0.21053, yg[ 4]=0.21053, u= 2.844990e-04, us= 1.204962e-03, err= 9.204633e-04 xg[ 4]=0.21053, yg[ 5]=0.26316, u= 1.329073e-03, us= 2.392148e-03, err= 1.063076e-03 xg[ 4]=0.21053, yg[ 6]=0.31579, u= 3.922061e-03, us= 5.131229e-03, err= 1.209168e-03 xg[ 4]=0.21053, yg[ 7]=0.36842, u= 8.229267e-03, us= 9.578345e-03, err= 1.349078e-03 xg[ 4]=0.21053, yg[ 8]=0.42105, u= 1.310373e-02, us= 1.456625e-02, err= 1.462519e-03 xg[ 4]=0.21053, yg[ 9]=0.47368, u= 1.640565e-02, us= 1.793238e-02, err= 1.526735e-03 xg[ 4]=0.21053, yg[10]=0.52632, u= 1.640565e-02, us= 1.793238e-02, err= 1.526728e-03 xg[ 4]=0.21053, yg[11]=0.57895, u= 1.310373e-02, us= 1.456623e-02, err= 1.462497e-03 xg[ 4]=0.21053, yg[12]=0.63158, u= 8.229267e-03, us= 9.578305e-03, err= 1.349038e-03 xg[ 4]=0.21053, yg[13]=0.68421, u= 3.922061e-03, us= 5.131166e-03, err= 1.209105e-03 xg[ 4]=0.21053, yg[14]=0.73684, u= 1.329073e-03, us= 2.392057e-03, err= 1.062984e-03 xg[ 4]=0.21053, yg[15]=0.78947, u= 2.844990e-04, us= 1.204836e-03, err= 9.203372e-04 xg[ 4]=0.21053, yg[16]=0.84211, u= 3.054785e-05, us= 8.069834e-04, err= 7.764356e-04 xg[ 4]=0.21053, yg[17]=0.89474, u= 9.713091e-07, us= 6.122622e-04, err= 6.112909e-04 xg[ 4]=0.21053, yg[18]=0.94737, u= 1.679938e-09, us= 3.912612e-04, err= 3.912595e-04 xg[ 4]=0.21053, yg[19]=1.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 5]=0.26316, yg[ 0]=0.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 5]=0.26316, yg[ 1]=0.05263, u= 7.848041e-09, us= 6.401411e-04, err= 6.401332e-04 xg[ 5]=0.26316, yg[ 2]=0.10526, u= 4.537591e-06, us= 8.388280e-04, err= 8.342904e-04 xg[ 5]=0.26316, yg[ 3]=0.15789, u= 1.427081e-04, us= 1.104931e-03, err= 9.622229e-04 xg[ 5]=0.26316, yg[ 4]=0.21053, u= 1.329073e-03, us= 2.392148e-03, err= 1.063076e-03 xg[ 5]=0.26316, yg[ 5]=0.26316, u= 6.208927e-03, us= 7.366932e-03, err= 1.158005e-03 xg[ 5]=0.26316, yg[ 6]=0.31579, u= 1.832239e-02, us= 1.957443e-02, err= 1.252039e-03 xg[ 5]=0.26316, yg[ 7]=0.36842, u= 3.844404e-02, us= 3.978372e-02, err= 1.339674e-03 xg[ 5]=0.26316, yg[ 8]=0.42105, u= 6.121571e-02, us= 6.262491e-02, err= 1.409193e-03 xg[ 5]=0.26316, yg[ 9]=0.47368, u= 7.664102e-02, us= 7.808901e-02, err= 1.447989e-03 xg[ 5]=0.26316, yg[10]=0.52632, u= 7.664102e-02, us= 7.808900e-02, err= 1.447983e-03 xg[ 5]=0.26316, yg[11]=0.57895, u= 6.121571e-02, us= 6.262489e-02, err= 1.409173e-03 xg[ 5]=0.26316, yg[12]=0.63158, u= 3.844404e-02, us= 3.978368e-02, err= 1.339638e-03 xg[ 5]=0.26316, yg[13]=0.68421, u= 1.832239e-02, us= 1.957438e-02, err= 1.251986e-03 xg[ 5]=0.26316, yg[14]=0.73684, u= 6.208927e-03, us= 7.366859e-03, err= 1.157932e-03 xg[ 5]=0.26316, yg[15]=0.78947, u= 1.329073e-03, us= 2.392056e-03, err= 1.062984e-03 xg[ 5]=0.26316, yg[16]=0.84211, u= 1.427081e-04, us= 1.104826e-03, err= 9.621184e-04 xg[ 5]=0.26316, yg[17]=0.89474, u= 4.537591e-06, us= 8.387293e-04, err= 8.341917e-04 xg[ 5]=0.26316, yg[18]=0.94737, u= 7.848041e-09, us= 6.400780e-04, err= 6.400701e-04 xg[ 5]=0.26316, yg[19]=1.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 6]=0.31579, yg[ 0]=0.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 6]=0.31579, yg[ 1]=0.05263, u= 2.315938e-08, us= 1.040374e-03, err= 1.040350e-03 xg[ 6]=0.31579, yg[ 2]=0.10526, u= 1.339032e-05, us= 1.135189e-03, err= 1.121798e-03 xg[ 6]=0.31579, yg[ 3]=0.15789, u= 4.211281e-04, us= 1.591863e-03, err= 1.170735e-03 xg[ 6]=0.31579, yg[ 4]=0.21053, u= 3.922061e-03, us= 5.131229e-03, err= 1.209168e-03 xg[ 6]=0.31579, yg[ 5]=0.26316, u= 1.832239e-02, us= 1.957443e-02, err= 1.252039e-03 xg[ 6]=0.31579, yg[ 6]=0.31579, u= 5.406894e-02, us= 5.536915e-02, err= 1.300212e-03 xg[ 6]=0.31579, yg[ 7]=0.36842, u= 1.134474e-01, us= 1.147956e-01, err= 1.348149e-03 xg[ 6]=0.31579, yg[ 8]=0.42105, u= 1.806461e-01, us= 1.820334e-01, err= 1.387273e-03 xg[ 6]=0.31579, yg[ 9]=0.47368, u= 2.261658e-01, us= 2.275751e-01, err= 1.409344e-03 xg[ 6]=0.31579, yg[10]=0.52632, u= 2.261658e-01, us= 2.275751e-01, err= 1.409338e-03 xg[ 6]=0.31579, yg[11]=0.57895, u= 1.806461e-01, us= 1.820333e-01, err= 1.387257e-03 xg[ 6]=0.31579, yg[12]=0.63158, u= 1.134474e-01, us= 1.147956e-01, err= 1.348120e-03 xg[ 6]=0.31579, yg[13]=0.68421, u= 5.406894e-02, us= 5.536911e-02, err= 1.300171e-03 xg[ 6]=0.31579, yg[14]=0.73684, u= 1.832239e-02, us= 1.957438e-02, err= 1.251986e-03 xg[ 6]=0.31579, yg[15]=0.78947, u= 3.922061e-03, us= 5.131165e-03, err= 1.209105e-03 xg[ 6]=0.31579, yg[16]=0.84211, u= 4.211281e-04, us= 1.591796e-03, err= 1.170668e-03 xg[ 6]=0.31579, yg[17]=0.89474, u= 1.339032e-05, us= 1.135130e-03, err= 1.121739e-03 xg[ 6]=0.31579, yg[18]=0.94737, u= 2.315938e-08, us= 1.040338e-03, err= 1.040315e-03 xg[ 6]=0.31579, yg[19]=1.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 7]=0.36842, yg[ 0]=0.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 7]=0.36842, yg[ 1]=0.05263, u= 4.859300e-08, us= 1.568888e-03, err= 1.568839e-03 xg[ 7]=0.36842, yg[ 2]=0.10526, u= 2.809557e-05, us= 1.476634e-03, err= 1.448538e-03 xg[ 7]=0.36842, yg[ 3]=0.15789, u= 8.836108e-04, us= 2.268438e-03, err= 1.384827e-03 xg[ 7]=0.36842, yg[ 4]=0.21053, u= 8.229267e-03, us= 9.578345e-03, err= 1.349078e-03 xg[ 7]=0.36842, yg[ 5]=0.26316, u= 3.844404e-02, us= 3.978372e-02, err= 1.339674e-03 xg[ 7]=0.36842, yg[ 6]=0.31579, u= 1.134474e-01, us= 1.147956e-01, err= 1.348148e-03 xg[ 7]=0.36842, yg[ 7]=0.36842, u= 2.380354e-01, us= 2.394009e-01, err= 1.365511e-03 xg[ 7]=0.36842, yg[ 8]=0.42105, u= 3.790316e-01, us= 3.804146e-01, err= 1.383014e-03 xg[ 7]=0.36842, yg[ 9]=0.47368, u= 4.745410e-01, us= 4.759347e-01, err= 1.393709e-03 xg[ 7]=0.36842, yg[10]=0.52632, u= 4.745410e-01, us= 4.759347e-01, err= 1.393705e-03 xg[ 7]=0.36842, yg[11]=0.57895, u= 3.790316e-01, us= 3.804146e-01, err= 1.383001e-03 xg[ 7]=0.36842, yg[12]=0.63158, u= 2.380354e-01, us= 2.394009e-01, err= 1.365490e-03 xg[ 7]=0.36842, yg[13]=0.68421, u= 1.134474e-01, us= 1.147956e-01, err= 1.348119e-03 xg[ 7]=0.36842, yg[14]=0.73684, u= 3.844404e-02, us= 3.978368e-02, err= 1.339637e-03 xg[ 7]=0.36842, yg[15]=0.78947, u= 8.229267e-03, us= 9.578303e-03, err= 1.349036e-03 xg[ 7]=0.36842, yg[16]=0.84211, u= 8.836108e-04, us= 2.268396e-03, err= 1.384785e-03 xg[ 7]=0.36842, yg[17]=0.89474, u= 2.809557e-05, us= 1.476599e-03, err= 1.448503e-03 xg[ 7]=0.36842, yg[18]=0.94737, u= 4.859300e-08, us= 1.568867e-03, err= 1.568819e-03 xg[ 7]=0.36842, yg[19]=1.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 8]=0.42105, yg[ 0]=0.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 8]=0.42105, yg[ 1]=0.05263, u= 7.737623e-08, us= 2.097409e-03, err= 2.097331e-03 xg[ 8]=0.42105, yg[ 2]=0.10526, u= 4.473750e-05, us= 1.790795e-03, err= 1.746058e-03 xg[ 8]=0.42105, yg[ 3]=0.15789, u= 1.407003e-03, us= 2.974044e-03, err= 1.567041e-03 xg[ 8]=0.42105, yg[ 4]=0.21053, u= 1.310373e-02, us= 1.456625e-02, err= 1.462519e-03 xg[ 8]=0.42105, yg[ 5]=0.26316, u= 6.121571e-02, us= 6.262491e-02, err= 1.409193e-03 xg[ 8]=0.42105, yg[ 6]=0.31579, u= 1.806461e-01, us= 1.820334e-01, err= 1.387273e-03 xg[ 8]=0.42105, yg[ 7]=0.36842, u= 3.790316e-01, us= 3.804146e-01, err= 1.383014e-03 xg[ 8]=0.42105, yg[ 8]=0.42105, u= 6.035444e-01, us= 6.049305e-01, err= 1.386078e-03 xg[ 8]=0.42105, yg[ 9]=0.47368, u= 7.556272e-01, us= 7.570167e-01, err= 1.389430e-03 xg[ 8]=0.42105, yg[10]=0.52632, u= 7.556272e-01, us= 7.570167e-01, err= 1.389428e-03 xg[ 8]=0.42105, yg[11]=0.57895, u= 6.035444e-01, us= 6.049305e-01, err= 1.386070e-03 xg[ 8]=0.42105, yg[12]=0.63158, u= 3.790316e-01, us= 3.804146e-01, err= 1.383001e-03 xg[ 8]=0.42105, yg[13]=0.68421, u= 1.806461e-01, us= 1.820333e-01, err= 1.387255e-03 xg[ 8]=0.42105, yg[14]=0.73684, u= 6.121571e-02, us= 6.262488e-02, err= 1.409171e-03 xg[ 8]=0.42105, yg[15]=0.78947, u= 1.310373e-02, us= 1.456623e-02, err= 1.462494e-03 xg[ 8]=0.42105, yg[16]=0.84211, u= 1.407003e-03, us= 2.974020e-03, err= 1.567017e-03 xg[ 8]=0.42105, yg[17]=0.89474, u= 4.473750e-05, us= 1.790776e-03, err= 1.746039e-03 xg[ 8]=0.42105, yg[18]=0.94737, u= 7.737623e-08, us= 2.097397e-03, err= 2.097320e-03 xg[ 8]=0.42105, yg[19]=1.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 9]=0.47368, yg[ 0]=0.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[ 9]=0.47368, yg[ 1]=0.05263, u= 9.687371e-08, us= 2.433965e-03, err= 2.433869e-03 xg[ 9]=0.47368, yg[ 2]=0.10526, u= 5.601058e-05, us= 1.982132e-03, err= 1.926121e-03 xg[ 9]=0.47368, yg[ 3]=0.15789, u= 1.761543e-03, us= 3.434717e-03, err= 1.673174e-03 xg[ 9]=0.47368, yg[ 4]=0.21053, u= 1.640565e-02, us= 1.793238e-02, err= 1.526734e-03 xg[ 9]=0.47368, yg[ 5]=0.26316, u= 7.664102e-02, us= 7.808901e-02, err= 1.447989e-03 xg[ 9]=0.47368, yg[ 6]=0.31579, u= 2.261658e-01, us= 2.275751e-01, err= 1.409344e-03 xg[ 9]=0.47368, yg[ 7]=0.36842, u= 4.745410e-01, us= 4.759347e-01, err= 1.393709e-03 xg[ 9]=0.47368, yg[ 8]=0.42105, u= 7.556272e-01, us= 7.570167e-01, err= 1.389430e-03 xg[ 9]=0.47368, yg[ 9]=0.47368, u= 9.460323e-01, us= 9.474215e-01, err= 1.389125e-03 xg[ 9]=0.47368, yg[10]=0.52632, u= 9.460323e-01, us= 9.474215e-01, err= 1.389124e-03 xg[ 9]=0.47368, yg[11]=0.57895, u= 7.556272e-01, us= 7.570167e-01, err= 1.389427e-03 xg[ 9]=0.47368, yg[12]=0.63158, u= 4.745410e-01, us= 4.759347e-01, err= 1.393703e-03 xg[ 9]=0.47368, yg[13]=0.68421, u= 2.261658e-01, us= 2.275751e-01, err= 1.409336e-03 xg[ 9]=0.47368, yg[14]=0.73684, u= 7.664102e-02, us= 7.808900e-02, err= 1.447980e-03 xg[ 9]=0.47368, yg[15]=0.78947, u= 1.640565e-02, us= 1.793237e-02, err= 1.526724e-03 xg[ 9]=0.47368, yg[16]=0.84211, u= 1.761543e-03, us= 3.434708e-03, err= 1.673164e-03 xg[ 9]=0.47368, yg[17]=0.89474, u= 5.601058e-05, us= 1.982124e-03, err= 1.926113e-03 xg[ 9]=0.47368, yg[18]=0.94737, u= 9.687371e-08, us= 2.433960e-03, err= 2.433863e-03 xg[ 9]=0.47368, yg[19]=1.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[10]=0.52632, yg[ 0]=0.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[10]=0.52632, yg[ 1]=0.05263, u= 9.687371e-08, us= 2.433962e-03, err= 2.433865e-03 xg[10]=0.52632, yg[ 2]=0.10526, u= 5.601058e-05, us= 1.982126e-03, err= 1.926116e-03 xg[10]=0.52632, yg[ 3]=0.15789, u= 1.761543e-03, us= 3.434710e-03, err= 1.673167e-03 xg[10]=0.52632, yg[ 4]=0.21053, u= 1.640565e-02, us= 1.793237e-02, err= 1.526727e-03 xg[10]=0.52632, yg[ 5]=0.26316, u= 7.664102e-02, us= 7.808900e-02, err= 1.447982e-03 xg[10]=0.52632, yg[ 6]=0.31579, u= 2.261658e-01, us= 2.275751e-01, err= 1.409338e-03 xg[10]=0.52632, yg[ 7]=0.36842, u= 4.745410e-01, us= 4.759347e-01, err= 1.393704e-03 xg[10]=0.52632, yg[ 8]=0.42105, u= 7.556272e-01, us= 7.570167e-01, err= 1.389427e-03 xg[10]=0.52632, yg[ 9]=0.47368, u= 9.460323e-01, us= 9.474215e-01, err= 1.389124e-03 xg[10]=0.52632, yg[10]=0.52632, u= 9.460323e-01, us= 9.474215e-01, err= 1.389125e-03 xg[10]=0.52632, yg[11]=0.57895, u= 7.556272e-01, us= 7.570167e-01, err= 1.389428e-03 xg[10]=0.52632, yg[12]=0.63158, u= 4.745410e-01, us= 4.759347e-01, err= 1.393706e-03 xg[10]=0.52632, yg[13]=0.68421, u= 2.261658e-01, us= 2.275751e-01, err= 1.409340e-03 xg[10]=0.52632, yg[14]=0.73684, u= 7.664102e-02, us= 7.808901e-02, err= 1.447985e-03 xg[10]=0.52632, yg[15]=0.78947, u= 1.640565e-02, us= 1.793238e-02, err= 1.526730e-03 xg[10]=0.52632, yg[16]=0.84211, u= 1.761543e-03, us= 3.434713e-03, err= 1.673170e-03 xg[10]=0.52632, yg[17]=0.89474, u= 5.601058e-05, us= 1.982129e-03, err= 1.926118e-03 xg[10]=0.52632, yg[18]=0.94737, u= 9.687371e-08, us= 2.433963e-03, err= 2.433866e-03 xg[10]=0.52632, yg[19]=1.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[11]=0.57895, yg[ 0]=0.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[11]=0.57895, yg[ 1]=0.05263, u= 7.737623e-08, us= 2.097399e-03, err= 2.097321e-03 xg[11]=0.57895, yg[ 2]=0.10526, u= 4.473750e-05, us= 1.790777e-03, err= 1.746040e-03 xg[11]=0.57895, yg[ 3]=0.15789, u= 1.407003e-03, us= 2.974021e-03, err= 1.567019e-03 xg[11]=0.57895, yg[ 4]=0.21053, u= 1.310373e-02, us= 1.456623e-02, err= 1.462496e-03 xg[11]=0.57895, yg[ 5]=0.26316, u= 6.121571e-02, us= 6.262488e-02, err= 1.409172e-03 xg[11]=0.57895, yg[ 6]=0.31579, u= 1.806461e-01, us= 1.820333e-01, err= 1.387256e-03 xg[11]=0.57895, yg[ 7]=0.36842, u= 3.790316e-01, us= 3.804146e-01, err= 1.383001e-03 xg[11]=0.57895, yg[ 8]=0.42105, u= 6.035444e-01, us= 6.049305e-01, err= 1.386069e-03 xg[11]=0.57895, yg[ 9]=0.47368, u= 7.556272e-01, us= 7.570167e-01, err= 1.389427e-03 xg[11]=0.57895, yg[10]=0.52632, u= 7.556272e-01, us= 7.570167e-01, err= 1.389428e-03 xg[11]=0.57895, yg[11]=0.57895, u= 6.035444e-01, us= 6.049305e-01, err= 1.386075e-03 xg[11]=0.57895, yg[12]=0.63158, u= 3.790316e-01, us= 3.804146e-01, err= 1.383010e-03 xg[11]=0.57895, yg[13]=0.68421, u= 1.806461e-01, us= 1.820333e-01, err= 1.387268e-03 xg[11]=0.57895, yg[14]=0.73684, u= 6.121571e-02, us= 6.262490e-02, err= 1.409187e-03 xg[11]=0.57895, yg[15]=0.78947, u= 1.310373e-02, us= 1.456625e-02, err= 1.462513e-03 xg[11]=0.57895, yg[16]=0.84211, u= 1.407003e-03, us= 2.974038e-03, err= 1.567035e-03 xg[11]=0.57895, yg[17]=0.89474, u= 4.473750e-05, us= 1.790791e-03, err= 1.746053e-03 xg[11]=0.57895, yg[18]=0.94737, u= 7.737623e-08, us= 2.097405e-03, err= 2.097328e-03 xg[11]=0.57895, yg[19]=1.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[12]=0.63158, yg[ 0]=0.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[12]=0.63158, yg[ 1]=0.05263, u= 4.859300e-08, us= 1.568868e-03, err= 1.568819e-03 xg[12]=0.63158, yg[ 2]=0.10526, u= 2.809557e-05, us= 1.476599e-03, err= 1.448504e-03 xg[12]=0.63158, yg[ 3]=0.15789, u= 8.836108e-04, us= 2.268396e-03, err= 1.384785e-03 xg[12]=0.63158, yg[ 4]=0.21053, u= 8.229267e-03, us= 9.578303e-03, err= 1.349036e-03 xg[12]=0.63158, yg[ 5]=0.26316, u= 3.844404e-02, us= 3.978368e-02, err= 1.339637e-03 xg[12]=0.63158, yg[ 6]=0.31579, u= 1.134474e-01, us= 1.147956e-01, err= 1.348119e-03 xg[12]=0.63158, yg[ 7]=0.36842, u= 2.380354e-01, us= 2.394009e-01, err= 1.365490e-03 xg[12]=0.63158, yg[ 8]=0.42105, u= 3.790316e-01, us= 3.804146e-01, err= 1.383000e-03 xg[12]=0.63158, yg[ 9]=0.47368, u= 4.745410e-01, us= 4.759347e-01, err= 1.393703e-03 xg[12]=0.63158, yg[10]=0.52632, u= 4.745410e-01, us= 4.759347e-01, err= 1.393706e-03 xg[12]=0.63158, yg[11]=0.57895, u= 3.790316e-01, us= 3.804146e-01, err= 1.383010e-03 xg[12]=0.63158, yg[12]=0.63158, u= 2.380354e-01, us= 2.394009e-01, err= 1.365506e-03 xg[12]=0.63158, yg[13]=0.68421, u= 1.134474e-01, us= 1.147956e-01, err= 1.348142e-03 xg[12]=0.63158, yg[14]=0.73684, u= 3.844404e-02, us= 3.978371e-02, err= 1.339667e-03 xg[12]=0.63158, yg[15]=0.78947, u= 8.229267e-03, us= 9.578337e-03, err= 1.349070e-03 xg[12]=0.63158, yg[16]=0.84211, u= 8.836108e-04, us= 2.268430e-03, err= 1.384819e-03 xg[12]=0.63158, yg[17]=0.89474, u= 2.809557e-05, us= 1.476627e-03, err= 1.448532e-03 xg[12]=0.63158, yg[18]=0.94737, u= 4.859300e-08, us= 1.568884e-03, err= 1.568835e-03 xg[12]=0.63158, yg[19]=1.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[13]=0.68421, yg[ 0]=0.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[13]=0.68421, yg[ 1]=0.05263, u= 2.315938e-08, us= 1.040338e-03, err= 1.040315e-03 xg[13]=0.68421, yg[ 2]=0.10526, u= 1.339032e-05, us= 1.135129e-03, err= 1.121739e-03 xg[13]=0.68421, yg[ 3]=0.15789, u= 4.211281e-04, us= 1.591795e-03, err= 1.170667e-03 xg[13]=0.68421, yg[ 4]=0.21053, u= 3.922061e-03, us= 5.131164e-03, err= 1.209104e-03 xg[13]=0.68421, yg[ 5]=0.26316, u= 1.832239e-02, us= 1.957438e-02, err= 1.251985e-03 xg[13]=0.68421, yg[ 6]=0.31579, u= 5.406894e-02, us= 5.536911e-02, err= 1.300170e-03 xg[13]=0.68421, yg[ 7]=0.36842, u= 1.134474e-01, us= 1.147956e-01, err= 1.348118e-03 xg[13]=0.68421, yg[ 8]=0.42105, u= 1.806461e-01, us= 1.820333e-01, err= 1.387255e-03 xg[13]=0.68421, yg[ 9]=0.47368, u= 2.261658e-01, us= 2.275751e-01, err= 1.409336e-03 xg[13]=0.68421, yg[10]=0.52632, u= 2.261658e-01, us= 2.275751e-01, err= 1.409340e-03 xg[13]=0.68421, yg[11]=0.57895, u= 1.806461e-01, us= 1.820333e-01, err= 1.387268e-03 xg[13]=0.68421, yg[12]=0.63158, u= 1.134474e-01, us= 1.147956e-01, err= 1.348142e-03 xg[13]=0.68421, yg[13]=0.68421, u= 5.406894e-02, us= 5.536914e-02, err= 1.300204e-03 xg[13]=0.68421, yg[14]=0.73684, u= 1.832239e-02, us= 1.957442e-02, err= 1.252030e-03 xg[13]=0.68421, yg[15]=0.78947, u= 3.922061e-03, us= 5.131218e-03, err= 1.209157e-03 xg[13]=0.68421, yg[16]=0.84211, u= 4.211281e-04, us= 1.591851e-03, err= 1.170723e-03 xg[13]=0.68421, yg[17]=0.89474, u= 1.339032e-05, us= 1.135179e-03, err= 1.121788e-03 xg[13]=0.68421, yg[18]=0.94737, u= 2.315938e-08, us= 1.040367e-03, err= 1.040344e-03 xg[13]=0.68421, yg[19]=1.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[14]=0.73684, yg[ 0]=0.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[14]=0.73684, yg[ 1]=0.05263, u= 7.848041e-09, us= 6.400769e-04, err= 6.400691e-04 xg[14]=0.73684, yg[ 2]=0.10526, u= 4.537591e-06, us= 8.387273e-04, err= 8.341897e-04 xg[14]=0.73684, yg[ 3]=0.15789, u= 1.427081e-04, us= 1.104824e-03, err= 9.621163e-04 xg[14]=0.73684, yg[ 4]=0.21053, u= 1.329073e-03, us= 2.392054e-03, err= 1.062982e-03 xg[14]=0.73684, yg[ 5]=0.26316, u= 6.208927e-03, us= 7.366858e-03, err= 1.157930e-03 xg[14]=0.73684, yg[ 6]=0.31579, u= 1.832239e-02, us= 1.957438e-02, err= 1.251984e-03 xg[14]=0.73684, yg[ 7]=0.36842, u= 3.844404e-02, us= 3.978368e-02, err= 1.339636e-03 xg[14]=0.73684, yg[ 8]=0.42105, u= 6.121571e-02, us= 6.262488e-02, err= 1.409170e-03 xg[14]=0.73684, yg[ 9]=0.47368, u= 7.664102e-02, us= 7.808900e-02, err= 1.447979e-03 xg[14]=0.73684, yg[10]=0.52632, u= 7.664102e-02, us= 7.808901e-02, err= 1.447985e-03 xg[14]=0.73684, yg[11]=0.57895, u= 6.121571e-02, us= 6.262490e-02, err= 1.409187e-03 xg[14]=0.73684, yg[12]=0.63158, u= 3.844404e-02, us= 3.978371e-02, err= 1.339667e-03 xg[14]=0.73684, yg[13]=0.68421, u= 1.832239e-02, us= 1.957442e-02, err= 1.252029e-03 xg[14]=0.73684, yg[14]=0.73684, u= 6.208927e-03, us= 7.366920e-03, err= 1.157992e-03 xg[14]=0.73684, yg[15]=0.78947, u= 1.329073e-03, us= 2.392133e-03, err= 1.063061e-03 xg[14]=0.73684, yg[16]=0.84211, u= 1.427081e-04, us= 1.104914e-03, err= 9.622061e-04 xg[14]=0.73684, yg[17]=0.89474, u= 4.537591e-06, us= 8.388122e-04, err= 8.342746e-04 xg[14]=0.73684, yg[18]=0.94737, u= 7.848041e-09, us= 6.401313e-04, err= 6.401234e-04 xg[14]=0.73684, yg[19]=1.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[15]=0.78947, yg[ 0]=0.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[15]=0.78947, yg[ 1]=0.05263, u= 1.679938e-09, us= 3.912583e-04, err= 3.912566e-04 xg[15]=0.78947, yg[ 2]=0.10526, u= 9.713091e-07, us= 6.122585e-04, err= 6.112871e-04 xg[15]=0.78947, yg[ 3]=0.15789, u= 3.054785e-05, us= 8.069798e-04, err= 7.764320e-04 xg[15]=0.78947, yg[ 4]=0.21053, u= 2.844990e-04, us= 1.204833e-03, err= 9.203342e-04 xg[15]=0.78947, yg[ 5]=0.26316, u= 1.329073e-03, us= 2.392054e-03, err= 1.062982e-03 xg[15]=0.78947, yg[ 6]=0.31579, u= 3.922061e-03, us= 5.131164e-03, err= 1.209103e-03 xg[15]=0.78947, yg[ 7]=0.36842, u= 8.229267e-03, us= 9.578302e-03, err= 1.349035e-03 xg[15]=0.78947, yg[ 8]=0.42105, u= 1.310373e-02, us= 1.456623e-02, err= 1.462494e-03 xg[15]=0.78947, yg[ 9]=0.47368, u= 1.640565e-02, us= 1.793237e-02, err= 1.526724e-03 xg[15]=0.78947, yg[10]=0.52632, u= 1.640565e-02, us= 1.793238e-02, err= 1.526730e-03 xg[15]=0.78947, yg[11]=0.57895, u= 1.310373e-02, us= 1.456625e-02, err= 1.462513e-03 xg[15]=0.78947, yg[12]=0.63158, u= 8.229267e-03, us= 9.578337e-03, err= 1.349070e-03 xg[15]=0.78947, yg[13]=0.68421, u= 3.922061e-03, us= 5.131218e-03, err= 1.209157e-03 xg[15]=0.78947, yg[14]=0.73684, u= 1.329073e-03, us= 2.392133e-03, err= 1.063061e-03 xg[15]=0.78947, yg[15]=0.78947, u= 2.844990e-04, us= 1.204942e-03, err= 9.204432e-04 xg[15]=0.78947, yg[16]=0.84211, u= 3.054785e-05, us= 8.071184e-04, err= 7.765705e-04 xg[15]=0.78947, yg[17]=0.89474, u= 9.713091e-07, us= 6.124067e-04, err= 6.114354e-04 xg[15]=0.78947, yg[18]=0.94737, u= 1.679938e-09, us= 3.913644e-04, err= 3.913628e-04 xg[15]=0.78947, yg[19]=1.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[16]=0.84211, yg[ 0]=0.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[16]=0.84211, yg[ 1]=0.05263, u= 1.803820e-10, us= 2.486116e-04, err= 2.486114e-04 xg[16]=0.84211, yg[ 2]=0.10526, u= 1.042935e-07, us= 4.419383e-04, err= 4.418340e-04 xg[16]=0.84211, yg[ 3]=0.15789, u= 3.280051e-06, us= 6.126784e-04, err= 6.093983e-04 xg[16]=0.84211, yg[ 4]=0.21053, u= 3.054785e-05, us= 8.069802e-04, err= 7.764323e-04 xg[16]=0.84211, yg[ 5]=0.26316, u= 1.427081e-04, us= 1.104824e-03, err= 9.621163e-04 xg[16]=0.84211, yg[ 6]=0.31579, u= 4.211281e-04, us= 1.591794e-03, err= 1.170666e-03 xg[16]=0.84211, yg[ 7]=0.36842, u= 8.836108e-04, us= 2.268395e-03, err= 1.384784e-03 xg[16]=0.84211, yg[ 8]=0.42105, u= 1.407003e-03, us= 2.974019e-03, err= 1.567017e-03 xg[16]=0.84211, yg[ 9]=0.47368, u= 1.761543e-03, us= 3.434707e-03, err= 1.673164e-03 xg[16]=0.84211, yg[10]=0.52632, u= 1.761543e-03, us= 3.434713e-03, err= 1.673170e-03 xg[16]=0.84211, yg[11]=0.57895, u= 1.407003e-03, us= 2.974038e-03, err= 1.567035e-03 xg[16]=0.84211, yg[12]=0.63158, u= 8.836108e-04, us= 2.268430e-03, err= 1.384819e-03 xg[16]=0.84211, yg[13]=0.68421, u= 4.211281e-04, us= 1.591851e-03, err= 1.170723e-03 xg[16]=0.84211, yg[14]=0.73684, u= 1.427081e-04, us= 1.104914e-03, err= 9.622058e-04 xg[16]=0.84211, yg[15]=0.78947, u= 3.054785e-05, us= 8.071181e-04, err= 7.765703e-04 xg[16]=0.84211, yg[16]=0.84211, u= 3.280051e-06, us= 6.128822e-04, err= 6.096021e-04 xg[16]=0.84211, yg[17]=0.89474, u= 1.042935e-07, us= 4.422037e-04, err= 4.420995e-04 xg[16]=0.84211, yg[18]=0.94737, u= 1.803820e-10, us= 2.488490e-04, err= 2.488488e-04 xg[16]=0.84211, yg[19]=1.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[17]=0.89474, yg[ 0]=0.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[17]=0.89474, yg[ 1]=0.05263, u= 5.735483e-12, us= 1.566950e-04, err= 1.566950e-04 xg[17]=0.89474, yg[ 2]=0.10526, u= 3.316150e-09, us= 2.987204e-04, err= 2.987171e-04 xg[17]=0.89474, yg[ 3]=0.15789, u= 1.042935e-07, us= 4.419404e-04, err= 4.418361e-04 xg[17]=0.89474, yg[ 4]=0.21053, u= 9.713091e-07, us= 6.122596e-04, err= 6.112883e-04 xg[17]=0.89474, yg[ 5]=0.26316, u= 4.537591e-06, us= 8.387276e-04, err= 8.341900e-04 xg[17]=0.89474, yg[ 6]=0.31579, u= 1.339032e-05, us= 1.135129e-03, err= 1.121738e-03 xg[17]=0.89474, yg[ 7]=0.36842, u= 2.809557e-05, us= 1.476598e-03, err= 1.448503e-03 xg[17]=0.89474, yg[ 8]=0.42105, u= 4.473750e-05, us= 1.790776e-03, err= 1.746038e-03 xg[17]=0.89474, yg[ 9]=0.47368, u= 5.601058e-05, us= 1.982124e-03, err= 1.926113e-03 xg[17]=0.89474, yg[10]=0.52632, u= 5.601058e-05, us= 1.982128e-03, err= 1.926118e-03 xg[17]=0.89474, yg[11]=0.57895, u= 4.473750e-05, us= 1.790791e-03, err= 1.746053e-03 xg[17]=0.89474, yg[12]=0.63158, u= 2.809557e-05, us= 1.476627e-03, err= 1.448531e-03 xg[17]=0.89474, yg[13]=0.68421, u= 1.339032e-05, us= 1.135178e-03, err= 1.121788e-03 xg[17]=0.89474, yg[14]=0.73684, u= 4.537591e-06, us= 8.388119e-04, err= 8.342743e-04 xg[17]=0.89474, yg[15]=0.78947, u= 9.713091e-07, us= 6.124060e-04, err= 6.114347e-04 xg[17]=0.89474, yg[16]=0.84211, u= 1.042935e-07, us= 4.422024e-04, err= 4.420981e-04 xg[17]=0.89474, yg[17]=0.89474, u= 3.316150e-09, us= 2.991771e-04, err= 2.991738e-04 xg[17]=0.89474, yg[18]=0.94737, u= 5.735483e-12, us= 1.573130e-04, err= 1.573130e-04 xg[17]=0.89474, yg[19]=1.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[18]=0.94737, yg[ 0]=0.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[18]=0.94737, yg[ 1]=0.05263, u= 9.919868e-15, us= 8.025389e-05, err= 8.025389e-05 xg[18]=0.94737, yg[ 2]=0.10526, u= 5.735483e-12, us= 1.567101e-04, err= 1.567101e-04 xg[18]=0.94737, yg[ 3]=0.15789, u= 1.803820e-10, us= 2.486175e-04, err= 2.486174e-04 xg[18]=0.94737, yg[ 4]=0.21053, u= 1.679938e-09, us= 3.912600e-04, err= 3.912583e-04 xg[18]=0.94737, yg[ 5]=0.26316, u= 7.848041e-09, us= 6.400771e-04, err= 6.400693e-04 xg[18]=0.94737, yg[ 6]=0.31579, u= 2.315938e-08, us= 1.040338e-03, err= 1.040314e-03 xg[18]=0.94737, yg[ 7]=0.36842, u= 4.859300e-08, us= 1.568867e-03, err= 1.568818e-03 xg[18]=0.94737, yg[ 8]=0.42105, u= 7.737623e-08, us= 2.097397e-03, err= 2.097320e-03 xg[18]=0.94737, yg[ 9]=0.47368, u= 9.687371e-08, us= 2.433960e-03, err= 2.433863e-03 xg[18]=0.94737, yg[10]=0.52632, u= 9.687371e-08, us= 2.433963e-03, err= 2.433866e-03 xg[18]=0.94737, yg[11]=0.57895, u= 7.737623e-08, us= 2.097405e-03, err= 2.097328e-03 xg[18]=0.94737, yg[12]=0.63158, u= 4.859300e-08, us= 1.568884e-03, err= 1.568835e-03 xg[18]=0.94737, yg[13]=0.68421, u= 2.315938e-08, us= 1.040367e-03, err= 1.040344e-03 xg[18]=0.94737, yg[14]=0.73684, u= 7.848041e-09, us= 6.401310e-04, err= 6.401232e-04 xg[18]=0.94737, yg[15]=0.78947, u= 1.679938e-09, us= 3.913636e-04, err= 3.913619e-04 xg[18]=0.94737, yg[16]=0.84211, u= 1.803820e-10, us= 2.488455e-04, err= 2.488453e-04 xg[18]=0.94737, yg[17]=0.89474, u= 5.735483e-12, us= 1.573021e-04, err= 1.573021e-04 xg[18]=0.94737, yg[18]=0.94737, u= 9.919868e-15, us= 8.185379e-05, err= 8.185379e-05 xg[18]=0.94737, yg[19]=1.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[19]=1.00000, yg[ 0]=0.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[19]=1.00000, yg[ 1]=0.05263, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[19]=1.00000, yg[ 2]=0.10526, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[19]=1.00000, yg[ 3]=0.15789, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[19]=1.00000, yg[ 4]=0.21053, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[19]=1.00000, yg[ 5]=0.26316, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[19]=1.00000, yg[ 6]=0.31579, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[19]=1.00000, yg[ 7]=0.36842, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[19]=1.00000, yg[ 8]=0.42105, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[19]=1.00000, yg[ 9]=0.47368, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[19]=1.00000, yg[10]=0.52632, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[19]=1.00000, yg[11]=0.57895, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[19]=1.00000, yg[12]=0.63158, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[19]=1.00000, yg[13]=0.68421, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[19]=1.00000, yg[14]=0.73684, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[19]=1.00000, yg[15]=0.78947, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[19]=1.00000, yg[16]=0.84211, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[19]=1.00000, yg[17]=0.89474, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[19]=1.00000, yg[18]=0.94737, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 xg[19]=1.00000, yg[19]=1.00000, u= 0.000000e+00, us= 0.000000e+00, err= 0.000000e+00 avg_error=0.390932, max_error=0.00243387 writing pde22_eq_10_c.dat finished writing pde22_eq_10_c.dat finished pde22_eq_10.c