pde3.java running xmin=-1.0xmax=1.0nx=11h=0.2 ymin=-1.0ymax=1.0ny=11h=0.2 exact solution u[0][0]= -10.0 u[0][1]= -7.032 u[0][2]= -4.495999999999999 u[0][3]= -2.3439999999999994 u[0][4]= -0.5279999999999996 u[0][5]= 1.0 u[0][6]= 2.288000000000001 u[0][7]= 3.3840000000000012 u[0][8]= 4.336 u[0][9]= 5.192 u[0][10]= 6.0 u[1][0]= -7.3919999999999995 u[1][1]= -4.784000000000001 u[1][2]= -2.5600000000000005 u[1][3]= -0.6720000000000006 u[1][4]= 0.9279999999999999 u[1][5]= 2.288 u[1][6]= 3.456000000000001 u[1][7]= 4.48 u[1][8]= 5.4079999999999995 u[1][9]= 6.287999999999999 u[1][10]= 7.167999999999999 u[2][0]= -5.135999999999999 u[2][1]= -2.856 u[2][2]= -0.9119999999999999 u[2][3]= 0.7440000000000015 u[2][4]= 2.16 u[2][5]= 3.384 u[2][6]= 4.464 u[2][7]= 5.448 u[2][8]= 6.384 u[2][9]= 7.32 u[2][10]= 8.304 u[3][0]= -3.1839999999999993 u[3][1]= -1.1999999999999993 u[3][2]= 0.49600000000000044 u[3][3]= 1.9520000000000017 u[3][4]= 3.2160000000000006 u[3][5]= 4.336 u[3][6]= 5.360000000000001 u[3][7]= 6.336000000000001 u[3][8]= 7.312000000000001 u[3][9]= 8.336 u[3][10]= 9.456 u[4][0]= -1.4879999999999995 u[4][1]= 0.2320000000000002 u[4][2]= 1.7119999999999997 u[4][3]= 3.000000000000001 u[4][4]= 4.144 u[4][5]= 5.192 u[4][6]= 6.192000000000001 u[4][7]= 7.192000000000001 u[4][8]= 8.24 u[4][9]= 9.384 u[4][10]= 10.672 u[5][0]= 0.0 u[5][1]= 1.4879999999999995 u[5][2]= 2.784 u[5][3]= 3.9360000000000004 u[5][4]= 4.992 u[5][5]= 6.0 u[5][6]= 7.008000000000001 u[5][7]= 8.064 u[5][8]= 9.216000000000001 u[5][9]= 10.512 u[5][10]= 12.0 u[6][0]= 1.3280000000000012 u[6][1]= 2.6160000000000005 u[6][2]= 3.7600000000000007 u[6][3]= 4.808000000000002 u[6][4]= 5.808000000000001 u[6][5]= 6.808000000000001 u[6][6]= 7.856000000000002 u[6][7]= 9.000000000000002 u[6][8]= 10.288000000000002 u[6][9]= 11.768 u[6][10]= 13.488000000000001 u[7][0]= 2.5440000000000005 u[7][1]= 3.6640000000000006 u[7][2]= 4.688000000000001 u[7][3]= 5.6640000000000015 u[7][4]= 6.640000000000001 u[7][5]= 7.664000000000001 u[7][6]= 8.784000000000002 u[7][7]= 10.048000000000002 u[7][8]= 11.504000000000001 u[7][9]= 13.200000000000001 u[7][10]= 15.184000000000001 u[8][0]= 3.6960000000000006 u[8][1]= 4.680000000000001 u[8][2]= 5.6160000000000005 u[8][3]= 6.552000000000001 u[8][4]= 7.5360000000000005 u[8][5]= 8.616 u[8][6]= 9.840000000000002 u[8][7]= 11.256000000000002 u[8][8]= 12.912 u[8][9]= 14.856000000000002 u[8][10]= 17.136000000000003 u[9][0]= 4.832000000000001 u[9][1]= 5.712000000000001 u[9][2]= 6.5920000000000005 u[9][3]= 7.520000000000001 u[9][4]= 8.544 u[9][5]= 9.712 u[9][6]= 11.072000000000003 u[9][7]= 12.672 u[9][8]= 14.56 u[9][9]= 16.784 u[9][10]= 19.392 u[10][0]= 6.0 u[10][1]= 6.808 u[10][2]= 7.664 u[10][3]= 8.616 u[10][4]= 9.712 u[10][5]= 11.0 u[10][6]= 12.528000000000002 u[10][7]= 14.344000000000001 u[10][8]= 16.496000000000002 u[10][9]= 19.032 u[10][10]= 22.0 initial condition computed solution us[0][0]= -10.0 us[0][1]= -7.032 us[0][2]= -4.495999999999999 us[0][3]= -2.3439999999999994 us[0][4]= -0.5279999999999996 us[0][5]= 1.0 us[0][6]= 2.288000000000001 us[0][7]= 3.3840000000000012 us[0][8]= 4.336 us[0][9]= 5.192 us[0][10]= 6.0 us[1][0]= -7.3919999999999995 us[1][1]= 0.0 us[1][2]= 0.0 us[1][3]= 0.0 us[1][4]= 0.0 us[1][5]= 0.0 us[1][6]= 0.0 us[1][7]= 0.0 us[1][8]= 0.0 us[1][9]= 0.0 us[1][10]= 7.167999999999999 us[2][0]= -5.135999999999999 us[2][1]= 0.0 us[2][2]= 0.0 us[2][3]= 0.0 us[2][4]= 0.0 us[2][5]= 0.0 us[2][6]= 0.0 us[2][7]= 0.0 us[2][8]= 0.0 us[2][9]= 0.0 us[2][10]= 8.304 us[3][0]= -3.1839999999999993 us[3][1]= 0.0 us[3][2]= 0.0 us[3][3]= 0.0 us[3][4]= 0.0 us[3][5]= 0.0 us[3][6]= 0.0 us[3][7]= 0.0 us[3][8]= 0.0 us[3][9]= 0.0 us[3][10]= 9.456 us[4][0]= -1.4879999999999995 us[4][1]= 0.0 us[4][2]= 0.0 us[4][3]= 0.0 us[4][4]= 0.0 us[4][5]= 0.0 us[4][6]= 0.0 us[4][7]= 0.0 us[4][8]= 0.0 us[4][9]= 0.0 us[4][10]= 10.672 us[5][0]= 0.0 us[5][1]= 0.0 us[5][2]= 0.0 us[5][3]= 0.0 us[5][4]= 0.0 us[5][5]= 0.0 us[5][6]= 0.0 us[5][7]= 0.0 us[5][8]= 0.0 us[5][9]= 0.0 us[5][10]= 12.0 us[6][0]= 1.3280000000000012 us[6][1]= 0.0 us[6][2]= 0.0 us[6][3]= 0.0 us[6][4]= 0.0 us[6][5]= 0.0 us[6][6]= 0.0 us[6][7]= 0.0 us[6][8]= 0.0 us[6][9]= 0.0 us[6][10]= 13.488000000000001 us[7][0]= 2.5440000000000005 us[7][1]= 0.0 us[7][2]= 0.0 us[7][3]= 0.0 us[7][4]= 0.0 us[7][5]= 0.0 us[7][6]= 0.0 us[7][7]= 0.0 us[7][8]= 0.0 us[7][9]= 0.0 us[7][10]= 15.184000000000001 us[8][0]= 3.6960000000000006 us[8][1]= 0.0 us[8][2]= 0.0 us[8][3]= 0.0 us[8][4]= 0.0 us[8][5]= 0.0 us[8][6]= 0.0 us[8][7]= 0.0 us[8][8]= 0.0 us[8][9]= 0.0 us[8][10]= 17.136000000000003 us[9][0]= 4.832000000000001 us[9][1]= 0.0 us[9][2]= 0.0 us[9][3]= 0.0 us[9][4]= 0.0 us[9][5]= 0.0 us[9][6]= 0.0 us[9][7]= 0.0 us[9][8]= 0.0 us[9][9]= 0.0 us[9][10]= 19.392 us[10][0]= 6.0 us[10][1]= 6.808 us[10][2]= 7.664 us[10][3]= 8.616 us[10][4]= 9.712 us[10][5]= 11.0 us[10][6]= 12.528000000000002 us[10][7]= 14.344000000000001 us[10][8]= 16.496000000000002 us[10][9]= 19.032 us[10][10]= 22.0 iter=0 diff=70.376 error=444.9359999999999 avg=5.493037037037036 max=13.044 iter=1 diff=45.85999999999998 error=400.50700000000006 avg=4.944530864197532 max=11.074000000000002 iter=2 diff=35.34975 error=366.8242500000001 avg=4.528694444444446 max=9.850625000000003 iter=3 diff=28.937187499999997 error=339.8996250000001 avg=4.196291666666668 max=9.234812500000002 iter=4 diff=24.68621875 error=317.4040000000001 avg=3.918567901234569 max=8.518335937500002 iter=5 diff=21.491234375000005 error=297.89062500000006 avg=3.6776620370370376 max=7.881105468750002 iter=6 diff=19.033318359375002 error=280.37109375 avg=3.4613715277777777 max=7.324502929687502 iter=7 diff=17.02729492187501 error=264.43176269531256 avg=3.2645896629050934 max=6.902718261718752 iter=8 diff=15.404782470703125 error=249.80163574218747 avg=3.083970811631944 max=6.555045288085939 iter=9 diff=14.022784103393555 error=236.28902435302734 avg=2.9171484488028065 max=6.226014007568361 iter=10 diff=12.883336204528804 error=223.73828887939453 avg=2.762201097276476 max=5.882270088195803 iter=11 diff=11.912929582595826 error=212.03298568725577 avg=2.6176911813241452 max=5.570526205062867 iter=12 diff=11.072037296772004 error=201.0751962661743 avg=2.482409830446596 max=5.251210207462313 iter=13 diff=10.330895756304267 error=190.78893586993212 avg=2.3554189613571865 max=4.967022343516351 iter=14 diff=9.698907496750362 error=181.10855296254155 avg=2.235908061265945 max=4.678863896101714 iter=15 diff=9.134565102197238 error=171.9816320110112 avg=2.1232300248272984 max=4.424494386129082 iter=16 diff=8.621712157763541 error=163.3617316838354 avg=2.0168115022695727 max=4.168021335808561 iter=17 diff=8.15089617390186 error=155.2108355099335 avg=1.9161831544436234 max=3.9422859922810467 iter=18 diff=7.716404070379216 error=147.4944314395543 avg=1.8209189066611642 max=3.7154367971221234 iter=19 diff=7.3108053720716235 error=140.18362606748266 avg=1.7306620502158354 max=3.5158225023933642 iter=20 diff=6.9320327474997665 error=133.2515933199829 avg=1.6450813990121347 max=3.3342342719916345 iter=21 diff=6.576161162286099 error=126.67543215769683 avg=1.5638942241690967 max=3.1571314282800524 iter=22 diff=6.241968392828309 error=120.43346376486852 avg=1.4868328859860311 max=3.000570042033246 iter=23 diff=5.926580904969118 error=114.50688285989938 avg=1.4136652204925848 max=2.8597630253202047 iter=24 diff=5.629275506002789 error=108.87760735389662 avg=1.344167992023415 max=2.718486465602687 iter=25 diff=5.347851102871502 error=103.52975625102513 avg=1.2781451389015448 max=2.5901454313026475 iter=26 diff=5.081879643931142 error=98.44787660709397 avg=1.2154058840381972 max=2.4615264143656996 iter=27 diff=4.829605049451117 error=93.6182715576428 avg=1.155781130341269 max=2.3448605492720755 iter=28 diff=4.5907739283472555 error=89.0274976292956 avg=1.0991049090036493 max=2.2280301140175682 iter=29 diff=4.3639366447941255 error=84.66356098450146 avg=1.045229147956808 max=2.1221612306148137 iter=30 diff=4.148943193441795 error=80.51461779105964 avg=0.9940076270501189 max=2.016194919808594 iter=31 diff=3.9445644208145847 error=76.57005337024508 avg=0.9453093008672232 max=1.920232167402105 iter=32 diff=3.7507115234486883 error=72.81934184679638 avg=0.8990042203308195 max=1.824211737038663 iter=33 diff=3.56632126868489 error=69.2530205781115 avg=0.8549755626927346 max=1.7372921612091368 iter=34 diff=3.391341084339166 error=65.86167949377233 avg=0.8131071542441028 max=1.6503384395149698 iter=35 diff=3.2248379976104955 error=62.63684149616185 avg=0.7732943394587882 max=1.5716476339080945 iter=36 diff=3.0667808853692264 error=59.570060610792616 avg=0.7354328470468224 max=1.4929366136537752 iter=37 diff=2.91634287083905 error=56.653717739953564 avg=0.6994286140735008 max=1.4217178938432546 iter=38 diff=2.773505528874068 error=53.88021221107948 avg=0.6651878050750554 max=1.3504872067884532 iter=39 diff=2.637531008352786 error=51.2426812027267 avg=0.6326256938608235 max=1.2860442761218405 iter=40 diff=2.508408401434854 error=48.73427280129184 avg=0.6016576889048375 max=1.2215942607446468 iter=41 diff=2.385476274231068 error=46.3487965270608 avg=0.5722073645316148 max=1.163290285931831 iter=42 diff=2.268728169207824 error=44.08006835785297 avg=0.5441983747883083 max=1.1049821169100884 iter=43 diff=2.1575693412645487 error=41.92249901658842 avg=0.517561716254178 max=1.0522369166142376 iter=44 diff=2.0519959674865778 error=39.87050304910184 avg=0.492228432704961 max=0.999489233311051 iter=45 diff=1.951472184122144 error=37.91903086497971 avg=0.468136183518268 max=0.9517755656522802 iter=46 diff=1.8559957279733117 error=36.06303513700638 avg=0.44522265601242444 max=0.9040604280320625 iter=47 diff=1.7650831419655348 error=34.29795199504086 avg=0.42343150611161556 max=0.8608999401572692 iter=48 diff=1.6787330862664334 error=32.61921890877441 avg=0.4027064062811655 max=0.8177385820528098 iter=49 diff=1.5965090017042454 error=31.022709907070173 avg=0.3829964186058046 max=0.7786977365327026 computed solution us[0][0]= -10.0 us[0][1]= -7.032 us[0][2]= -4.495999999999999 us[0][3]= -2.3439999999999994 us[0][4]= -0.5279999999999996 us[0][5]= 1.0 us[0][6]= 2.288000000000001 us[0][7]= 3.3840000000000012 us[0][8]= 4.336 us[0][9]= 5.192 us[0][10]= 6.0 us[1][0]= -7.3919999999999995 us[1][1]= -4.855827214184346 us[1][2]= -2.6968669877307607 us[1][3]= -0.8614075874889021 us[1][4]= 0.7043561028695545 us[1][5]= 2.0511521796261123 us[1][6]= 3.229646180203358 us[1][7]= 4.286175595620736 us[1][8]= 5.2667482650299045 us[1][9]= 6.213443042690066 us[1][10]= 7.167999999999999 us[2][0]= -5.135999999999999 us[2][1]= -2.9928119591946185 us[2][2]= -1.173239462063091 us[2][3]= 0.38325070208692413 us[2][4]= 1.7331125950552513 us[2][5]= 2.9329396291494874 us[2][6]= 4.031920335336576 us[2][7]= 5.078910447656675 us[2][8]= 6.114359284725064 us[2][9]= 7.17803347978873 us[2][10]= 8.304 us[3][0]= -3.1839999999999993 us[3][1]= -1.3892138531672154 us[3][2]= 0.13547509111624145 us[3][3]= 1.4530673099937736 us[3][4]= 2.626929063146417 us[3][5]= 3.7121455475284058 us[3][6]= 4.763834450879432 us[3][7]= 5.825504031858723 us[3][8]= 6.939995766654384 us[3][9]= 8.139639647491308 us[3][10]= 9.456 us[4][0]= -1.4879999999999995 us[4][1]= 0.008758568135941058 us[4][2]= 1.285708848201629 us[4][3]= 2.4113865570214807 us[4][4]= 3.447462002740289 us[4][5]= 4.456101459239153 us[4][6]= 5.48706082167851 us[4][7]= 6.5898918510217666 us[4][8]= 7.800115450875083 us[4][9]= 9.152418380668154 us[4][10]= 10.672 us[5][0]= 0.0 us[5][1]= 1.2517791175023185 us[5][2]= 2.3339539011450485 us[5][3]= 3.313159954264763 us[5][4]= 4.256728313771548 us[5][5]= 5.221302263467297 us[5][6]= 6.263958934569972 us[5][7]= 7.426867031775388 us[5][8]= 8.751764746700003 us[5][9]= 10.266945605070536 us[5][10]= 12.0 us[6][0]= 1.3280000000000012 us[6][1]= 2.3904360633675656 us[6][2]= 3.329253598784567 us[6][3]= 4.213306217184714 us[6][4]= 5.104253328449643 us[6][5]= 6.06458578910237 us[6][6]= 7.1438521473878644 us[6][7]= 8.391811511185 us[6][8]= 9.843660201458022 us[6][9]= 11.53409587589978 us[6][10]= 13.488000000000001 us[7][0]= 2.5440000000000005 us[7][1]= 3.470996268589419 us[7][2]= 4.320327185984142 us[7][3]= 5.155145377242077 us[7][4]= 6.039363617327049 us[7][5]= 7.027881438511745 us[7][6]= 8.176269005060066 us[7][7]= 9.527582099107029 us[7][8]= 11.124847861522287 us[7][9]= 12.999849769247941 us[7][10]= 15.184000000000001 us[8][0]= 3.6960000000000006 us[8][1]= 4.539430148927272 us[8][2]= 5.347551792509178 us[8][3]= 6.181412504981853 us[8][4]= 7.0974487143230744 us[8][5]= 8.152779018695565 us[8][6]= 9.3962564546044 us[8][7]= 10.877072250551604 us[8][8]= 12.635150539297337 us[8][9]= 14.710275587910623 us[8][10]= 17.136000000000003 us[9][0]= 4.832000000000001 us[9][1]= 5.637830512104232 us[9][2]= 6.450715363686097 us[9][3]= 7.324460320459989 us[9][4]= 8.313208263832362 us[9][5]= 9.46757254294674 us[9][6]= 10.838498341166165 us[9][7]= 12.47204350356963 us[9][8]= 14.414330616446765 us[9][9]= 16.70710076897865 us[9][10]= 19.392 us[10][0]= 6.0 us[10][1]= 6.808 us[10][2]= 7.664 us[10][3]= 8.616 us[10][4]= 9.712 us[10][5]= 11.0 us[10][6]= 12.528000000000002 us[10][7]= 14.344000000000001 us[10][8]= 16.496000000000002 us[10][9]= 19.032 us[10][10]= 22.0 difference exact-computed solution diff[1][1]= 0.07182721418434568 diff[1][2]= 0.13686698773076023 diff[1][3]= 0.18940758748890152 diff[1][4]= 0.2236438971304454 diff[1][5]= 0.23684782037388752 diff[1][6]= 0.22635381979664304 diff[1][7]= 0.19382440437926451 diff[1][8]= 0.14125173497009502 diff[1][9]= 0.07455695730993295 diff[2][1]= 0.13681195919461864 diff[2][2]= 0.2612394620630911 diff[2][3]= 0.3607492979130774 diff[2][4]= 0.42688740494474886 diff[2][5]= 0.45106037085051254 diff[2][6]= 0.4320796646634246 diff[2][7]= 0.3690895523433255 diff[2][8]= 0.26964071527493605 diff[2][9]= 0.14196652021127054 diff[3][1]= 0.18921385316721606 diff[3][2]= 0.360524908883759 diff[3][3]= 0.4989326900062281 diff[3][4]= 0.5890709368535836 diff[3][5]= 0.6238544524715945 diff[3][6]= 0.5961655491205695 diff[3][7]= 0.510495968141278 diff[3][8]= 0.37200423334561705 diff[3][9]= 0.19636035250869277 diff[4][1]= 0.22324143186405915 diff[4][2]= 0.42629115179837074 diff[4][3]= 0.5886134429785201 diff[4][4]= 0.696537997259711 diff[4][5]= 0.7358985407608474 diff[4][6]= 0.7049391783214913 diff[4][7]= 0.6021081489782345 diff[4][8]= 0.43988454912491726 diff[4][9]= 0.2315816193318465 diff[5][1]= 0.23622088249768103 diff[5][2]= 0.4500460988549513 diff[5][3]= 0.6228400457352374 diff[5][4]= 0.7352716862284518 diff[5][5]= 0.7786977365327026 diff[5][6]= 0.7440410654300287 diff[5][7]= 0.6371329682246119 diff[5][8]= 0.46423525329999826 diff[5][9]= 0.2450543949294648 diff[6][1]= 0.2255639366324349 diff[6][2]= 0.43074640121543384 diff[6][3]= 0.5946937828152876 diff[6][4]= 0.7037466715503573 diff[6][5]= 0.7434142108976305 diff[6][6]= 0.7121478526121372 diff[6][7]= 0.6081884888150011 diff[6][8]= 0.44433979854198036 diff[6][9]= 0.23390412410022066 diff[7][1]= 0.19300373141058147 diff[7][2]= 0.36767281401585894 diff[7][3]= 0.5088546227579247 diff[7][4]= 0.6006363826729517 diff[7][5]= 0.6361185614882556 diff[7][6]= 0.6077309949399368 diff[7][7]= 0.5204179008929728 diff[7][8]= 0.3791521384777141 diff[7][9]= 0.20015023075205995 diff[8][1]= 0.1405698510727289 diff[8][2]= 0.268448207490823 diff[8][3]= 0.3705874950181487 diff[8][4]= 0.43855128567692603 diff[8][5]= 0.4632209813044348 diff[8][6]= 0.443743545395602 diff[8][7]= 0.3789277494483976 diff[8][8]= 0.2768494607026639 diff[8][9]= 0.14572441208937903 diff[9][1]= 0.0741694878957686 diff[9][2]= 0.14128463631390353 diff[9][3]= 0.19553967954001195 diff[9][4]= 0.23079173616763882 diff[9][5]= 0.2444274570532592 diff[9][6]= 0.23350165883383767 diff[9][7]= 0.19995649643037083 diff[9][8]= 0.14566938355323522 diff[9][9]= 0.07689923102135054 iter=50 diff=1.518410095086828 error=29.504299811983355 avg=0.36425061496275746 max=0.7396563758292389 iter=51 diff=1.4440419281992523 error=28.06025788378409 avg=0.3464229368368406 max=0.7043425233461189 iter=52 diff=1.373404031465028 error=26.686853852319047 avg=0.3294673315101117 max=0.6690283658700746 iter=53 diff=1.3061398886632807 error=25.380713963655783 avg=0.3133421476994541 max=0.6370860492454353 iter=54 diff=1.2422492218007553 error=24.138464741855017 avg=0.29800573755376564 max=0.605143552062394 iter=55 diff=1.1814097107739525 error=22.95705503108107 avg=0.28342043248248233 max=0.5762510781548205 iter=56 diff=1.1236211910084963 error=21.83343384007257 avg=0.26954856592682186 max=0.5473584973551375 iter=57 diff=1.0685922111269788 error=20.7648416289456 avg=0.25635606949315554 max=0.5212247859541073 iter=58 diff=1.0163226736999773 error=19.748518955245608 avg=0.2438088759906865 max=0.4950910112720397 iter=59 diff=0.9665490116987117 error=18.781969943546905 avg=0.23187617214255438 max=0.4714527150827159 iter=60 diff=0.9192711674441252 error=17.86269877610278 avg=0.2205271453839849 max=0.44781438143047847 iter=61 diff=0.8742507738249752 error=16.988448002277813 avg=0.20973392595404708 max=0.42643326342595866 iter=62 diff=0.8314877966947418 error=16.156960205583058 avg=0.1994686445133711 max=0.4050521232430757 iter=63 diff=0.7907666496275786 error=15.366193555955483 avg=0.18970609328340102 max=0.3857126740085466 iter=64 diff=0.7520873124084765 error=14.614106243547008 avg=0.18042106473514824 max=0.36637321164423753 iter=65 diff=0.715254796325353 error=13.898851447221654 avg=0.17159075860767475 max=0.34888048805880345 iter=66 diff=0.6802690894107175 error=13.21858235781094 avg=0.1631923747877894 max=0.33138775670042797 iter=67 diff=0.64695382925462 error=12.57162852855631 avg=0.15520529047600384 max=0.31556542334446647 iter=68 diff=0.6153090087721824 error=11.956319519784133 avg=0.14760888296029795 max=0.2997430853868561 iter=69 diff=0.5851751105349281 error=11.371144409249204 avg=0.14038449887961982 max=0.2854316408103994 iter=70 diff=0.5565521303485592 error=10.814592278900644 avg=0.1335134849246993 max=0.27112019350972716 iter=71 diff=0.5292957856345999 error=10.285296493266044 avg=0.1269789690526672 max=0.25817536459370416 iter=72 diff=0.5034060739099779 error=9.781890419356067 avg=0.12076407925130947 max=0.24523053406492235 iter=73 diff=0.47875249171276063 error=9.30313792764331 avg=0.11485355466226307 max=0.2335218229474556 iter=74 diff=0.4553350375729623 error=8.84780289007035 avg=0.10923213444531296 max=0.22181311087522104 iter=75 diff=0.43303567080330574 error=8.41476721926704 avg=0.1038860150526795 max=0.211222480184305 iter=76 diff=0.4118543905335138 error=8.002912828733526 avg=0.09880139294732748 max=0.20063184892815755 iter=77 diff=0.39168442843430834 error=7.611228400299218 avg=0.09396578271974343 max=0.19105253229715302 iter=78 diff=0.3725257839904689 error=7.23870261630875 avg=0.08936669896677468 max=0.18147321533152727 iter=79 diff=0.3542818846223247 error=6.884420731686426 avg=0.08499284853933858 max=0.1728086413426695 iter=80 diff=0.33695273002486337 error=6.547468001661562 avg=0.08083293829211805 max=0.16414406715571328 iter=81 diff=0.32045096964578673 error=6.227017032015775 avg=0.07687675348167623 max=0.15630688594454867 iter=82 diff=0.3047766033045246 error=5.92224042871125 avg=0.07311407936680556 max=0.1484697046161063 iter=83 diff=0.2898506217828721 error=5.632389806928378 avg=0.06953567662874541 max=0.1413809073716763 iter=84 diff=0.2756730249739705 error=5.3567167819544075 avg=0.06613230595005441 max=0.13429211005781827 iter=85 diff=0.2621723484269814 error=5.094544433527426 avg=0.06289561029046205 max=0.12788023257038894 iter=86 diff=0.2493485920786464 error=4.84519584144878 avg=0.05981723261047877 max=0.12146835504185738 iter=87 diff=0.2371371157604883 error=4.6080587256882914 avg=0.05688961389738632 max=0.11566875728571002 iter=88 diff=0.22553791943508522 error=4.382520806253206 avg=0.05410519513892847 max=0.10986915950522835 iter=89 diff=0.2144925355412423 error=4.1680282707119645 avg=0.05145713914459216 max=0.10462337400370458 iter=90 diff=0.20400096405683 error=3.964027306655134 avg=0.04893860872413745 max=0.09937758848777367 iter=91 diff=0.19401032058806467 error=3.7700169860670694 avg=0.046543419581074934 max=0.09463273089713553 iter=92 diff=0.18452060512181045 error=3.585496380945259 avg=0.04426538741907727 max=0.08988787329796999 iter=93 diff=0.1754839832817332 error=3.4100123976635257 avg=0.042098918489673155 max=0.0855961092714832 iter=94 diff=0.16690045506004125 error=3.2431119426034845 avg=0.04003841904448746 max=0.08130434523994712 iter=95 diff=0.15872675386114643 error=3.0843851887423384 avg=0.03807882949064615 max=0.07742240819952073 iter=96 diff=0.15096287968040917 error=2.933422309061929 avg=0.03621509023533246 max=0.07354047115610651 iter=97 diff=0.1435696975169945 error=2.7898526115449345 avg=0.03444262483388808 max=0.07002922611125229 iter=98 diff=0.13654720736815196 error=2.6533054041767823 avg=0.03275685684168867 max=0.0665179810646288 iter=99 diff=0.12986001129456776 error=2.5234453928822145 avg=0.03115364682570635 max=0.06334203008215589 computed solution us[0][0]= -10.0 us[0][1]= -7.032 us[0][2]= -4.495999999999999 us[0][3]= -2.3439999999999994 us[0][4]= -0.5279999999999996 us[0][5]= 1.0 us[0][6]= 2.288000000000001 us[0][7]= 3.3840000000000012 us[0][8]= 4.336 us[0][9]= 5.192 us[0][10]= 6.0 us[1][0]= -7.3919999999999995 us[1][1]= -4.79004436783921 us[1][2]= -2.5714833092571974 us[1][3]= -0.6878266519795131 us[1][4]= 0.9094159344521006 us[1][5]= 2.268432599216628 us[1][6]= 3.43741138464106 us[1][7]= 4.4641659324319765 us[1][8]= 5.396509328993894 us[1][9]= 6.281951049075044 us[1][10]= 7.167999999999999 us[2][0]= -5.135999999999999 us[2][1]= -2.8674832168663276 us[2][2]= -0.9338710289854387 us[2][3]= 0.713932220829317 us[2][4]= 2.1246048791043184 us[2][5]= 3.346825526767628 us[2][6]= 4.428596161557191 us[2][7]= 5.417918217950779 us[2][8]= 6.36211486572701 us[2][9]= 7.3085081288787945 us[2][10]= 8.304 us[3][0]= -3.1839999999999993 us[3][1]= -1.2158263267068494 us[3][2]= 0.4659325975700478 us[3][3]= 1.9105601394453893 us[3][4]= 3.167340284281504 us[3][5]= 4.284765516715968 us[3][6]= 5.311328372721557 us[3][7]= 6.294540725182624 us[3][8]= 7.281913324261194 us[3][9]= 8.320161674618895 us[3][10]= 9.456 us[4][0]= -1.4879999999999995 us[4][1]= 0.2134166101759682 us[4][2]= 1.6766058801906403 us[4][3]= 2.951341052396242 us[4][4]= 4.08671969975426 us[4][5]= 5.131840230185672 us[4][6]= 6.134705594466713 us[4][7]= 7.143318395262831 us[4][8]= 8.204583057355967 us[4][9]= 9.365402607297435 us[4][10]= 10.672 us[5][0]= 0.0 us[5][1]= 1.4684336518210785 us[5][2]= 2.7468272296911205 us[5][3]= 3.884767219865746 us[5][4]= 4.93184128265027 us[5][5]= 5.936657969917844 us[5][6]= 6.947826559152462 us[5][7]= 8.012743222517239 us[5][8]= 9.17880340657123 us[5][9]= 10.49241882064406 us[5][10]= 12.0 us[6][0]= 1.3280000000000012 us[6][1]= 2.5974127108238214 us[6][2]= 3.7245984000542585 us[6][3]= 4.759330843759788 us[6][4]= 5.750707596639356 us[6][5]= 6.747827611617059 us[6][6]= 7.798693491351809 us[6][7]= 8.951308186626378 us[6][8]= 10.252575577219586 us[6][9]= 11.749398707945286 us[6][10]= 13.488000000000001 us[7][0]= 2.5440000000000005 us[7][1]= 3.64816731030909 us[7][2]= 4.65792059659814 us[7][3]= 5.6225434809368515 us[7][4]= 6.591320866301062 us[7][5]= 7.612744925667016 us[7][6]= 8.735308954741116 us[7][7]= 10.006524066674087 us[7][8]= 11.473901323289288 us[7][9]= 13.184155311634836 us[7][10]= 15.184000000000001 us[8][0]= 3.6960000000000006 us[8][1]= 4.668510473849365 us[8][2]= 5.594116867899654 us[8][3]= 6.521915702908556 us[8][4]= 7.500585295853034 us[8][5]= 8.578805109494724 us[8][6]= 9.804576578305907 us[8][7]= 11.22590170003002 us[8][8]= 12.890102762612106 us[8][9]= 14.844501819594491 us[8][10]= 17.136000000000003 us[9][0]= 4.832000000000001 us[9][1]= 5.705951699620371 us[9][2]= 6.580509273734265 us[9][3]= 7.504163052496009 us[9][4]= 8.525403933480192 us[9][5]= 9.692419873248513 us[9][6]= 11.053399383669154 us[9][7]= 12.6561556369075 us[9][8]= 14.54850191198536 us[9][9]= 16.777947116534627 us[9][10]= 19.392 us[10][0]= 6.0 us[10][1]= 6.808 us[10][2]= 7.664 us[10][3]= 8.616 us[10][4]= 9.712 us[10][5]= 11.0 us[10][6]= 12.528000000000002 us[10][7]= 14.344000000000001 us[10][8]= 16.496000000000002 us[10][9]= 19.032 us[10][10]= 22.0 difference exact-computed solution diff[1][1]= 0.0060443678392090305 diff[1][2]= 0.011483309257196872 diff[1][3]= 0.015826651979512496 diff[1][4]= 0.018584065547899375 diff[1][5]= 0.019567400783371713 diff[1][6]= 0.018588615358940963 diff[1][7]= 0.01583406756802397 diff[1][8]= 0.011490671006105124 diff[1][9]= 0.0060489509249554985 diff[2][1]= 0.011483216866327695 diff[2][2]= 0.0218710289854388 diff[2][3]= 0.030067779170684594 diff[2][4]= 0.03539512089568175 diff[2][5]= 0.037174473232371774 diff[2][6]= 0.03540383844280903 diff[2][7]= 0.030081782049220962 diff[2][8]= 0.021885134272990214 diff[2][9]= 0.011491871121205754 diff[3][1]= 0.015826326706850136 diff[3][2]= 0.03006740242995265 diff[3][3]= 0.04143986055461246 diff[3][4]= 0.0486597157184967 diff[3][5]= 0.05123448328403235 diff[3][6]= 0.048671627278443985 diff[3][7]= 0.041459274817377434 diff[3][8]= 0.030086675738806967 diff[3][9]= 0.015838325381105633 diff[4][1]= 0.018583389824032015 diff[4][2]= 0.03539411980935947 diff[4][3]= 0.048658947603759106 diff[4][4]= 0.057280300245739824 diff[4][5]= 0.06015976981432836 diff[4][6]= 0.05729440553328846 diff[4][7]= 0.04868160473716987 diff[4][8]= 0.03541694264403361 diff[4][9]= 0.01859739270256533 diff[5][1]= 0.019566348178921 diff[5][2]= 0.03717277030887933 diff[5][3]= 0.05123278013425425 diff[5][4]= 0.06015871734973022 diff[5][5]= 0.06334203008215589 diff[5][6]= 0.06017344084753873 diff[5][7]= 0.05125677748276125 diff[5][8]= 0.0371965934287708 diff[5][9]= 0.019581179355940392 diff[6][1]= 0.018587289176179134 diff[6][2]= 0.03540159994574221 diff[6][3]= 0.04866915624021395 diff[6][4]= 0.057292403360644784 diff[6][5]= 0.06017238838294148 diff[6][6]= 0.05730650864819253 diff[6][7]= 0.04869181337362427 diff[6][8]= 0.03542442278041591 diff[6][9]= 0.018601292054714946 diff[7][1]= 0.015832689690910673 diff[7][2]= 0.030079403401860993 diff[7][3]= 0.041456519063149955 diff[7][4]= 0.04867913369893895 diff[7][5]= 0.051255074332984485 diff[7][6]= 0.048691045258886234 diff[7][7]= 0.04147593332591448 diff[7][8]= 0.03009867671071298 diff[7][9]= 0.015844688365165283 diff[8][1]= 0.011489526150636031 diff[8][2]= 0.021883132100346536 diff[8][3]= 0.030084297091445222 diff[8][4]= 0.03541470414696679 diff[8][5]= 0.037194890505276135 diff[8][6]= 0.035423421694094515 diff[8][7]= 0.030098299969981923 diff[8][8]= 0.021897237387895174 diff[8][9]= 0.011498180405510539 diff[9][1]= 0.0060483003796294454 diff[9][2]= 0.011490726265735773 diff[9][3]= 0.015836947503992782 diff[9][4]= 0.01859606651980883 diff[9][5]= 0.019580126751487015 diff[9][6]= 0.01860061633084875 diff[9][7]= 0.015844363092501368 diff[9][8]= 0.011498088014640473 diff[9][9]= 0.006052883465372361 iter=100 diff=0.1235081092946268 error=2.399937283587588 avg=0.029628855352933185 max=0.06016607909863403 iter=101 diff=0.11745948363227043 error=2.2824777999553176 avg=0.028178738271053303 max=0.057293404446149054 iter=102 diff=0.11171413430658206 error=2.1707636656487352 avg=0.026799551427762164 max=0.05442072979304324 iter=103 diff=0.10624310100375456 error=2.064520564644981 avg=0.02548790820549359 max=0.0518223711589183 iter=104 diff=0.10104638372324481 error=1.963474180921736 avg=0.024240421986688097 max=0.04922401252442832 iter=105 diff=0.09609778761544363 error=1.8673763933062926 avg=0.023054029546991265 max=0.04687377506035517 iter=106 diff=0.09139731268003953 error=1.775979080626253 avg=0.021925667662052506 max=0.044523537596067086 iter=107 diff=0.08692126545317136 error=1.6890578151730815 avg=0.020852565619420758 max=0.04239772783895024 iter=108 diff=0.08266964593465281 error=1.6063881692384288 avg=0.01983195270664727 max=0.04027191808170727 iter=109 diff=0.07862102318517972 error=1.527767146053249 avg=0.01886132279078085 max=0.03834910509272227 iter=110 diff=0.0747753972046612 error=1.452991748848588 avg=0.017938169738871457 max=0.03642629210366355 iter=111 diff=0.07111338352648305 error=1.3818783653221047 avg=0.017060226732371665 max=0.03468709141646542 iter=112 diff=0.06763498215058622 error=1.3142433831715186 avg=0.016225226952734796 max=0.032947890729222884 iter=113 diff=0.0643226596622285 error=1.2499207235092902 avg=0.015431120043324571 max=0.03137476892924518 iter=114 diff=0.06117641606138963 error=1.1887443074479005 avg=0.014675855647504944 max=0.02980164712923994 iter=115 diff=0.05818039222546151 error=1.130563915222439 avg=0.013957579200277024 max=0.028378745093991853 iter=116 diff=0.05533458815444381 error=1.0752293270679951 avg=0.013274436136641915 max=0.026955843058729556 iter=117 diff=0.05262465913720382 error=1.0226046679307914 avg=0.012624748986799893 max=0.025668816077150325 iter=118 diff=0.050050605173727114 error=0.9725540627570641 avg=0.01200684028095141 max=0.024381789095562212 iter=119 diff=0.04759945135093957 error=0.9249546114061247 avg=0.011419192733408946 max=0.023217662254594096 iter=120 diff=0.0452711976688277 error=0.8796834137372969 avg=0.010860289058485146 max=0.02205353541362154 iter=121 diff=0.0430541082082348 error=0.8366293055290621 avg=0.010328756858383484 max=0.021000572794150685 iter=122 diff=0.040948182969188895 error=0.7956811225598732 avg=0.009823223735307076 max=0.01994761017467539 iter=123 diff=0.03894280671307515 error=0.7567383158467981 avg=0.00934244834378763 max=0.018995196538137193 iter=124 diff=0.03703797943994391 error=0.7197003364068542 avg=0.008885189338356225 max=0.018042782901595444 iter=125 diff=0.03522409957626588 error=0.6844762368305883 avg=0.008450323911488745 max=0.017181316674504288 iter=126 diff=0.03350116712204082 error=0.6509750697085475 avg=0.00803672925566108 max=0.01631985044741313 iter=127 diff=0.031860497372482754 error=0.6191145723360647 avg=0.007643389781926725 max=0.015540646924966595 iter=128 diff=0.03030209032756348 error=0.5888124820085012 avg=0.007269289901339521 max=0.014761443402520058 iter=129 diff=0.02881809059800583 error=0.5599943914104955 avg=0.006913511005067845 max=0.014056647195427985 iter=130 diff=0.027408498183802144 error=0.5325858932266933 avg=0.0065751344842801636 max=0.013351850988335912 iter=131 diff=0.026066207818598808 error=0.5065196854080944 avg=0.0062533294494826475 max=0.012714356830233697 iter=132 diff=0.02479121950238361 error=0.48172846590571083 avg=0.005947265011181615 max=0.01207686267213326 iter=133 diff=0.023577106461377784 error=0.45815135944433305 avg=0.005656189622769544 max=0.011500243789221543 iter=134 diff=0.02242386869555485 error=0.4357274907487782 avg=0.005379351737639237 max=0.010923624906311602 iter=135 diff=0.02132569313340632 error=0.4144017976153719 avg=0.005116071575498419 max=0.010402068227080008 iter=136 diff=0.02028257977493142 error=0.39411921784044046 avg=0.004865669356054821 max=0.009880511547848414 iter=137 diff=0.019289270647579182 error=0.3748299471928613 avg=0.004627530212257547 max=0.009408759099718722 iter=138 diff=0.01834576575131114 error=0.35648418144155014 avg=0.004401039277056175 max=0.00893700665158903 iter=139 diff=0.017447309205282424 error=0.3390368722362677 avg=0.004185640397978614 max=0.008510302553685456 iter=140 diff=0.016593901009466172 error=0.32244297122680154 avg=0.003980777422553106 max=0.008083598455783658 iter=141 diff=0.015781239429230043 error=0.3066617317975715 avg=0.003785947306142858 max=0.007697640973445274 iter=142 diff=0.015009324464562046 error=0.29165240733300946 avg=0.0036006470041112276 max=0.007311683491106891 iter=143 diff=0.014274265159885446 error=0.277378142173124 avg=0.003424421508310173 max=0.0069625816687794995 iter=144 diff=0.013576061515233773 error=0.26380208065789024 avg=0.0032568158105912375 max=0.006613479846452108 iter=145 diff=0.012911194128225834 error=0.2508908865296644 avg=0.003097418352218079 max=0.006297714281773281 iter=146 diff=0.01227966299886546 error=0.23861122353079894 avg=0.002945817574454308 max=0.005981948717094454 iter=147 diff=0.011678284797816574 error=0.22693293873298237 avg=0.0028016412189257084 max=0.00569633608072273 iter=148 diff=0.011107059525079677 error=0.2158258792079027 avg=0.002664517027258058 max=0.005410723444351007 iter=149 diff=0.010563107832193663 error=0.20526277137570903 avg=0.0025341082885890005 max=0.005152384387849374 computed solution us[0][0]= -10.0 us[0][1]= -7.032 us[0][2]= -4.495999999999999 us[0][3]= -2.3439999999999994 us[0][4]= -0.5279999999999996 us[0][5]= 1.0 us[0][6]= 2.288000000000001 us[0][7]= 3.3840000000000012 us[0][8]= 4.336 us[0][9]= 5.192 us[0][10]= 6.0 us[1][0]= -7.3919999999999995 us[1][1]= -4.784492001779562 us[1][2]= -2.5609346670805677 us[1][3]= -0.6732880812288295 us[1][4]= 0.9264876707154306 us[1][5]= 2.286407836345804 us[1][6]= 3.4544876630764763 us[1][7]= 4.4787119063206875 us[1][8]= 5.407065320559343 us[1][9]= 6.287507990525616 us[1][10]= 7.167999999999999 us[2][0]= -5.135999999999999 us[2][1]= -2.856934666925447 us[2][2]= -0.9137800830237851 us[2][3]= 0.7415530029559395 us[2][4]= 2.157119753323606 us[2][5]= 3.380975330782645 us[2][6]= 4.461119738687185 us[2][7]= 5.4455529794456545 us[2][8]= 6.382219893293989 us[2][9]= 7.319065318544397 us[2][10]= 8.304 us[3][0]= -3.1839999999999993 us[3][1]= -1.2012880806827093 us[3][2]= 0.4935530035884724 us[3][3]= 1.9486277509197616 us[3][4]= 3.2120406604562333 us[3][5]= 4.331831650754459 us[3][6]= 5.35604064045719 us[3][7]= 6.332627718323974 us[3][8]= 7.3095529712293414 us[3][9]= 8.334711899171985 us[3][10]= 9.456 us[4][0]= -1.4879999999999995 us[4][1]= 0.23048767184994445 us[4][2]= 1.7091197550043908 us[4][3]= 2.996040661745868 us[4][4]= 4.1393396465418535 us[4][5]= 5.1871059652616935 us[4][6]= 6.1873396228596285 us[4][7]= 7.188040623705429 us[4][8]= 8.237119716685747 us[4][9]= 9.382487648339662 us[4][10]= 10.672 us[5][0]= 0.0 us[5][1]= 1.4864078381130854 us[5][2]= 2.7809753336417873 us[5][3]= 3.9318316536139815 us[5][4]= 4.987105967028739 us[5][5]= 5.994847615612151 us[5][6]= 7.003105942308565 us[5][7]= 8.059831613323377 us[5][8]= 9.212975293643703 us[5][9]= 10.51040781321212 us[5][10]= 12.0 us[6][0]= 1.3280000000000012 us[6][1]= 2.614487665303085 us[6][2]= 3.757119742445535 us[6][3]= 4.804040644605967 us[6][4]= 5.803339626221199 us[6][5]= 6.803105944075612 us[6][6]= 7.851339602538975 us[6][7]= 8.99604060656553 us[6][8]= 10.285119704126892 us[6][9]= 11.766487641792803 us[6][10]= 13.488000000000001 us[7][0]= 2.5440000000000005 us[7][1]= 3.6627119086340896 us[7][2]= 4.68555298343931 us[7][3]= 5.660627722950778 us[7][4]= 6.636040627854207 us[7][5]= 7.659831616182897 us[7][6]= 8.780040607855167 us[7][7]= 10.044627690354995 us[7][8]= 11.501552951080182 us[7][9]= 13.198711888488788 us[7][10]= 15.184000000000001 us[8][0]= 3.6960000000000006 us[8][1]= 4.679065322481511 us[8][2]= 5.614219896655559 us[8][3]= 6.549552975222998 us[8][4]= 7.533119720444095 us[8][5]= 8.612975296502848 us[8][6]= 9.837119705807675 us[8][7]= 11.253552951712715 us[8][8]= 12.910219872973336 us[8][9]= 14.85506530795136 us[8][10]= 17.136000000000003 us[9][0]= 4.832000000000001 us[9][1]= 5.711507991617856 us[9][2]= 6.591065320466565 us[9][3]= 7.518711901485387 us[9][4]= 8.542487650566269 us[9][5]= 9.710407814979401 us[9][6]= 11.070487642927317 us[9][7]= 12.670711889034907 us[9][8]= 14.559065308106478 us[9][9]= 16.783507983923037 us[9][10]= 19.392 us[10][0]= 6.0 us[10][1]= 6.808 us[10][2]= 7.664 us[10][3]= 8.616 us[10][4]= 9.712 us[10][5]= 11.0 us[10][6]= 12.528000000000002 us[10][7]= 14.344000000000001 us[10][8]= 16.496000000000002 us[10][9]= 19.032 us[10][10]= 22.0 difference exact-computed solution diff[1][1]= 4.9200177956088E-4 diff[1][2]= 9.346670805672197E-4 diff[1][3]= 0.0012880812288289523 diff[1][4]= 0.001512329284569347 diff[1][5]= 0.0015921636541960105 diff[1][6]= 0.0015123369235245931 diff[1][7]= 0.0012880936793129294 diff[1][8]= 9.346794406566161E-4 diff[1][9]= 4.920094743834369E-4 diff[2][1]= 9.346669254473028E-4 diff[2][2]= 0.001780083023785184 diff[2][3]= 0.002446997044062038 diff[2][4]= 0.0028802466763941936 diff[2][5]= 0.0030246692173547807 diff[2][6]= 0.0028802613128151577 diff[2][7]= 0.002447020554345869 diff[2][8]= 0.001780106706011253 diff[2][9]= 9.34681455603048E-4 diff[3][1]= 0.0012880806827100244 diff[3][2]= 0.002446996411528013 diff[3][3]= 0.0033722490802401417 diff[3][4]= 0.003959339543767371 diff[3][5]= 0.004168349245540881 diff[3][6]= 0.003959359542811569 diff[3][7]= 0.0033722816760271 diff[3][8]= 0.0024470287706597205 diff[3][9]= 0.0012881008280150041 diff[4][1]= 0.0015123281500557528 diff[4][2]= 0.002880244995608905 diff[4][3]= 0.003959338254132749 diff[4][4]= 0.004660353458146638 diff[4][5]= 0.00489403473830663 diff[4][6]= 0.004660377140372596 diff[4][7]= 0.0039593762945724364 diff[4][8]= 0.0028802833142531625 diff[4][9]= 0.0015123516603381404 diff[5][1]= 0.001592161886914134 diff[5][2]= 0.0030246663582125244 diff[5][3]= 0.0041683463860189285 diff[5][4]= 0.004894032971260565 diff[5][5]= 0.005152384387849374 diff[5][6]= 0.004894057691435805 diff[5][7]= 0.004168386676623115 diff[5][8]= 0.0030247063562978127 diff[5][9]= 0.001592186787879868 diff[6][1]= 0.0015123346969154738 diff[6][2]= 0.0028802575544655262 diff[6][3]= 0.003959355394034247 diff[6][4]= 0.004660373778802018 diff[6][5]= 0.0048940559243888515 diff[6][6]= 0.004660397461027088 diff[6][7]= 0.003959393434472602 diff[6][8]= 0.002880295873110228 diff[6][9]= 0.0015123582071971953 diff[7][1]= 0.001288091365911015 diff[7][2]= 0.0024470165606906846 diff[7][3]= 0.003372277049223271 diff[7][4]= 0.003959372145793338 diff[7][5]= 0.004168383817103383 diff[7][6]= 0.0039593921448357605 diff[7][7]= 0.003372309645007121 diff[7][8]= 0.0024470489198193945 diff[7][9]= 0.0012881115112133301 diff[8][1]= 9.346775184893019E-4 diff[8][2]= 0.0017801033444415637 diff[8][3]= 0.002447024777003648 diff[8][4]= 0.0028802795559057515 diff[8][5]= 0.0030247034971520037 diff[8][6]= 0.0028802941923267156 diff[8][7]= 0.0024470482872871457 diff[8][8]= 0.0017801270266648572 diff[8][9]= 9.346920486414945E-4 diff[9][1]= 4.920083821442489E-4 diff[9][2]= 9.346795334357338E-4 diff[9][3]= 0.0012880985146139778 diff[9][4]= 0.0015123494337316856 diff[9][5]= 0.0015921850205984356 diff[9][6]= 0.0015123570726860436 diff[9][7]= 0.0012881109650937361 diff[9][8]= 9.346918935229098E-4 diff[9][9]= 4.920160769614768E-4 iter=150 diff=0.010046429719197003 error=0.19521634165651203 avg=0.0024100782920557042 max=0.0048940453313477406 iter=151 diff=0.009554420790935936 error=0.1856619208655761 avg=0.002292122479821927 max=0.004660375459586419 iter=152 diff=0.009087081047398693 error=0.1765748398181774 avg=0.002179936294051573 max=0.004426705587824209 iter=153 diff=0.00864205479111041 error=0.167932785027067 avg=0.00207324425959342 max=0.004215349203279928 iter=154 diff=0.008219342022019627 error=0.15971344300504736 avg=0.001971770901296881 max=0.004003992818734758 iter=155 diff=0.007816811991714412 error=0.15189663101333295 avg=0.0018752670495473204 max=0.003812819172979154 iter=156 diff=0.0074344647001947095 error=0.14446216631313824 avg=0.0017834835347301018 max=0.0036216455272235493 iter=157 diff=0.007070372867416741 error=0.1373917934457215 avg=0.0016961949808113766 max=0.003448727340199298 iter=158 diff=0.006724536493368738 error=0.13066725695235276 avg=0.0016131760117574414 max=0.0032758091531750466 iter=159 diff=0.0063952123368682945 error=0.12427204461548447 avg=0.0015342227730306725 max=0.0031194031836925262 iter=160 diff=0.006082400397911747 error=0.11818964421757272 avg=0.0014591314100934904 max=0.002962997214211782 iter=161 diff=0.005784523900012939 error=0.11240512031755978 avg=0.0013877175347846887 max=0.002821526685803377 iter=162 diff=0.005501582843202624 error=0.10690353747435716 avg=0.0013197967589426809 max=0.0026800561573967485 iter=163 diff=0.0052321510197492205 error=0.10167138645460794 avg=0.00125520230190874 max=0.002552094862350529 iter=164 diff=0.004976228429654839 error=0.0966951580249531 avg=0.0011937673830241123 max=0.002424133567305198 iter=165 diff=0.0047325250559335785 error=0.09196263296901952 avg=0.0011353411477656732 max=0.002308391488624828 iter=166 diff=0.00450104089857023 error=0.08746159207044929 avg=0.0010797727416104852 max=0.0021926494099453464 iter=167 diff=0.00428060912624012 error=0.08318098294420917 avg=0.001026925715360607 max=0.0020879597162952734 iter=168 diff=0.004071229738944859 error=0.07910975320526431 avg=9.76663619818078E-4 max=0.001983270022648753 iter=169 diff=0.0038718473278240295 error=0.07523790587744028 avg=9.28863035523954E-4 max=0.0018885773051744437 iter=170 diff=0.003682461892877409 error=0.07155544398456287 avg=8.834005430192947E-4 max=0.0017938845877019105 iter=171 diff=0.0035021188078254717 error=0.0680533251767374 avg=8.401645083547828E-4 max=0.0017082342201257816 iter=172 diff=0.003330818072680597 error=0.0647225071040568 avg=7.990432975809482E-4 max=0.0016225838525514291 iter=173 diff=0.003167696219843752 error=0.06155481088421305 avg=7.599359368421364E-4 max=0.0015451123672889366 iter=174 diff=0.003012753249320488 error=0.058542057634892564 avg=7.227414522826243E-4 max=0.001467640882030885 iter=175 diff=0.0028652081473585223 error=0.05567684948753404 avg=6.873685121917783E-4 max=0.0013975672653216975 iter=176 diff=0.002725060913937649 error=0.05295178857359639 avg=6.537257848592147E-4 max=0.0013274936486169508 iter=177 diff=0.0025916051154964426 error=0.05036018345809995 avg=6.217306599765426E-4 max=0.0012641114668747733 iter=178 diff=0.002464840752010977 error=0.04789534270608897 avg=5.913005272356664E-4 max=0.0012007292851361484 iter=179 diff=0.0023441288483149747 error=0.045551213857774 avg=5.623606649107901E-4 max=0.0011433995631806582 iter=180 diff=0.0022294694044198704 error=0.04332174445335413 avg=5.348363512759769E-4 max=0.0010860698412269443 iter=181 diff=0.002120284461810118 error=0.04120145999154401 avg=5.086599998956051E-4 max=0.0010342146205770675 iter=182 diff=0.0020165740205141947 error=0.039184885971029815 avg=4.837640243337014E-4 max=9.82359399928967E-4 iter=183 diff=0.001917815312152793 error=0.03726707065887702 avg=4.600872920849015E-4 max=9.354559122272121E-4 iter=184 diff=0.0018240083367619953 error=0.035443062322115026 avg=4.375686706433954E-4 max=8.885524245272336E-4 iter=185 diff=0.0017346802458855781 error=0.03370838207622945 avg=4.1615286513863514E-4 max=8.461278213536261E-4 iter=186 diff=0.0016498310395364757 error=0.03205855103669297 avg=3.957845806999132E-4 max=8.037032181817949E-4 iter=187 diff=0.001569033022308819 error=0.030489518014384154 avg=3.7641380264671795E-4 max=7.653298041212508E-4 iter=188 diff=0.0014922861941802923 error=0.02899723182020386 avg=3.579905162988131E-4 max=7.26956390061595E-4 iter=189 diff=0.0014192037010367642 error=0.027578028119167097 avg=3.404694829526802E-4 max=6.922473109778338E-4 iter=190 diff=0.0013497855428690197 error=0.026228242576298078 avg=3.238054639049145E-4 max=6.575382318958489E-4 iter=191 diff=0.0012836818068278633 error=0.024944560769470214 avg=3.0795754036382983E-4 max=6.261435749355115E-4 iter=192 diff=0.0012208924929175136 error=0.0237236682765527 avg=2.9288479353768764E-4 max=5.947489179760623E-4 iter=193 diff=0.0011611011019697637 error=0.022562567174582937 avg=2.785502120318881E-4 max=5.663521839878172E-4 iter=194 diff=0.0011043076339972702 error=0.021458259540585667 avg=2.649167844516749E-4 max=5.379554500022365E-4 iter=195 diff=0.0010502258128129438 error=0.020408033727772723 avg=2.5195103367620645E-4 max=5.12270362817091E-4 iter=196 diff=9.988556384552538E-4 error=0.01940917808931747 avg=2.3961948258416628E-4 max=4.8658527563461007E-4 iter=197 diff=9.499381716642219E-4 error=0.018459239917653247 avg=2.2789185083522528E-4 max=4.6335289602517093E-4 iter=198 diff=9.034734124525046E-4 error=0.017555766505200743 avg=2.1673785808889805E-4 max=4.401205164192845E-4 iter=199 diff=8.59227148066577E-4 error=0.016696539357134166 avg=2.061301155201749E-4 max=4.191066316518999E-4 computed solution us[0][0]= -10.0 us[0][1]= -7.032 us[0][2]= -4.495999999999999 us[0][3]= -2.3439999999999994 us[0][4]= -0.5279999999999996 us[0][5]= 1.0 us[0][6]= 2.288000000000001 us[0][7]= 3.3840000000000012 us[0][8]= 4.336 us[0][9]= 5.192 us[0][10]= 6.0 us[1][0]= -7.3919999999999995 us[1][1]= -4.7840400211100915 us[1][2]= -2.560076028928487 us[1][3]= -0.6721047766329495 us[1][4]= 0.9278769825992027 us[1][5]= 2.287870488946301 us[1][6]= 3.455876982586377 us[1][7]= 4.479895223346147 us[1][8]= 5.40792397105076 us[1][9]= 6.287959978876987 us[1][10]= 7.167999999999999 us[2][0]= -5.135999999999999 us[2][1]= -2.8560760289282268 us[2][2]= -0.912144797743068 us[2][3]= 0.7438009536695749 us[2][4]= 2.15976571231034 us[2][5]= 3.383753965180527 us[2][6]= 4.463765712285765 us[2][7]= 5.447800953630101 us[2][8]= 6.38385520221717 us[2][9]= 7.319923971047378 us[2][10]= 8.304 us[3][0]= -3.1839999999999993 us[3][1]= -1.2001047766320325 us[3][2]= 0.4958009536706368 us[3][3]= 1.9517256911991991 us[3][4]= 3.2156779362465886 us[3][5]= 4.3356609356415605 us[3][6]= 5.359677936213011 us[3][7]= 6.3357256911444715 us[3][8]= 7.3118009536163076 us[3][9]= 8.335895223334145 us[3][10]= 9.456 us[4][0]= -1.4879999999999995 us[4][1]= 0.2318769826011074 us[4][2]= 1.7117657123131622 us[4][3]= 2.9996779362487542 us[4][4]= 4.143620914527383 us[4][5]= 5.191601907270898 us[4][6]= 6.19162091448762 us[4][7]= 7.191677936184886 us[4][8]= 8.239765712248827 us[4][9]= 9.383876982561636 us[4][10]= 10.672 us[5][0]= 0.0 us[5][1]= 1.4878704889492682 us[5][2]= 2.7837539651853267 us[5][3]= 3.935660935646361 us[5][4]= 4.991601907273864 us[5][5]= 5.999580893368348 us[5][6]= 7.007601907232361 us[5][7]= 8.063660935578717 us[5][8]= 9.215753965118173 us[5][9]= 10.511870488907462 us[5][10]= 12.0 us[6][0]= 1.3280000000000012 us[6][1]= 2.6158769825901156 us[6][2]= 3.7597657122920762 us[6][3]= 4.807677936219976 us[6][4]= 5.807620914493265 us[6][5]= 6.807601907235328 us[6][6]= 7.855620914453505 us[6][7]= 8.999677936156111 us[6][8]= 10.287765712227742 us[6][9]= 11.767876982550646 us[6][10]= 13.488000000000001 us[7][0]= 2.5440000000000005 us[7][1]= 3.66389522335003 us[7][2]= 4.687800953636806 us[7][3]= 5.663725691152241 us[7][4]= 6.639677936191851 us[7][5]= 7.663660935583518 us[7][6]= 8.783677936158275 us[7][7]= 10.047725691097517 us[7][8]= 11.50380095358248 us[7][9]= 13.199895223316208 us[7][10]= 15.184000000000001 us[8][0]= 3.6960000000000006 us[8][1]= 4.679923971053987 us[8][2]= 5.6158552022228125 us[8][3]= 6.551800953623012 us[8][4]= 7.535765712255138 us[8][5]= 8.615753965122973 us[8][6]= 9.839765712230564 us[8][7]= 11.255800953583543 us[8][8]= 12.911855202183055 us[8][9]= 14.855923971029595 us[8][10]= 17.136000000000003 us[9][0]= 4.832000000000001 us[9][1]= 5.711959978878822 us[9][2]= 6.591923971050605 us[9][3]= 7.519895223338027 us[9][4]= 8.543876982565372 us[9][5]= 9.711870488910428 us[9][6]= 11.07187698255255 us[9][7]= 12.671895223317128 us[9][8]= 14.559923971029855 us[9][9]= 16.783959978865905 us[9][10]= 19.392 us[10][0]= 6.0 us[10][1]= 6.808 us[10][2]= 7.664 us[10][3]= 8.616 us[10][4]= 9.712 us[10][5]= 11.0 us[10][6]= 12.528000000000002 us[10][7]= 14.344000000000001 us[10][8]= 16.496000000000002 us[10][9]= 19.032 us[10][10]= 22.0 difference exact-computed solution diff[1][1]= 4.002111009082654E-5 diff[1][2]= 7.602892848668219E-5 diff[1][3]= 1.0477663294894413E-4 diff[1][4]= 1.2301740079723178E-4 diff[1][5]= 1.2951105369873872E-4 diff[1][6]= 1.230174136237494E-4 diff[1][7]= 1.047766538535555E-4 diff[1][8]= 7.602894923941506E-5 diff[1][9]= 4.002112301204619E-5 diff[2][1]= 7.602892822689E-5 diff[2][2]= 1.4479774306808135E-4 diff[2][3]= 1.9904633042666653E-4 diff[2][4]= 2.3428768965993996E-4 diff[2][5]= 2.46034819472829E-4 diff[2][6]= 2.3428771423539274E-4 diff[2][7]= 1.990463698993139E-4 diff[2][8]= 1.4479778283060796E-4 diff[2][9]= 7.602895262248666E-5 diff[3][1]= 1.0477663203323218E-4 diff[3][2]= 1.9904632936362798E-4 diff[3][3]= 2.743088008025918E-4 diff[3][4]= 3.220637534120385E-4 diff[3][5]= 3.390643584397779E-4 diff[3][6]= 3.2206378699051186E-4 diff[3][7]= 2.743088555297035E-4 diff[3][8]= 1.9904638369361294E-4 diff[3][9]= 1.0477666585551049E-4 diff[4][1]= 1.2301739889281071E-4 diff[4][2]= 2.3428768683753098E-4 diff[4][3]= 3.2206375124665954E-4 diff[4][4]= 3.7908547261711334E-4 diff[4][5]= 3.980927291022951E-4 diff[4][6]= 3.790855123808612E-4 diff[4][7]= 3.220638151146815E-4 diff[4][8]= 2.3428775117295686E-4 diff[4][9]= 1.2301743836395929E-4 diff[5][1]= 1.2951105073133462E-4 diff[5][2]= 2.4603481467311283E-4 diff[5][3]= 3.3906435363917353E-4 diff[5][4]= 3.980927261357792E-4 diff[5][5]= 4.191066316518999E-4 diff[5][6]= 3.9809276763946855E-4 diff[5][7]= 3.39064421282842E-4 diff[5][8]= 2.4603488182783906E-4 diff[5][9]= 1.2951109253833692E-4 diff[6][1]= 1.2301740988496235E-4 diff[6][2]= 2.3428770792444098E-4 diff[6][3]= 3.220637800254167E-4 diff[6][4]= 3.7908550673559915E-4 diff[6][5]= 3.980927646729526E-4 diff[6][6]= 3.7908554649668247E-4 diff[6][7]= 3.2206384389077414E-4 diff[6][8]= 2.342877722600889E-4 diff[6][9]= 1.2301744935427905E-4 diff[7][1]= 1.0477664997043945E-4 diff[7][2]= 1.99046363194455E-4 diff[7][3]= 2.743088477608069E-4 diff[7][4]= 3.2206380814958635E-4 diff[7][5]= 3.390644164822376E-4 diff[7][6]= 3.220638417271715E-4 diff[7][7]= 2.7430890248503204E-4 diff[7][8]= 1.9904641752077623E-4 diff[7][9]= 1.0477668379316185E-4 diff[8][1]= 7.602894601355104E-5 diff[8][2]= 1.4479777718801046E-4 diff[8][3]= 1.9904637698964223E-4 diff[8][4]= 2.342877448624492E-4 diff[8][5]= 2.460348770263465E-4 diff[8][6]= 2.3428776943745788E-4 diff[8][7]= 1.9904641645851484E-4 diff[8][8]= 1.4479781694554106E-4 diff[8][9]= 7.602897040648315E-5 diff[9][1]= 4.002112117884593E-5 diff[9][2]= 7.602894939573446E-5 diff[9][3]= 1.0477666197417079E-4 diff[9][4]= 1.2301743462828085E-4 diff[9][5]= 1.29511089571821E-4 diff[9][6]= 1.2301744745357723E-4 diff[9][7]= 1.0477668287300901E-4 diff[9][8]= 7.60289701453587E-5 diff[9][9]= 4.002113409384833E-5