pde3_eq.m running xmin=-1, xmax=1, nx=11, h=0.2 ymin=-1, ymax=1, ny=11, h=0.2 internal cells zeroed, h=0.2 i=2, j=2, ii=1, jj+=10, jji+=2, i=2, j=3, ii=10, jj+=19, jj-=1, jji+=11, i=2, j=4, ii=19, jj+=28, jj-=10, jji+=20, i=2, j=5, ii=28, jj+=37, jj-=19, jji+=29, i=2, j=6, ii=37, jj+=46, jj-=28, jji+=38, i=2, j=7, ii=46, jj+=55, jj-=37, jji+=47, i=2, j=8, ii=55, jj+=64, jj-=46, jji+=56, i=2, j=9, ii=64, jj+=73, jj-=55, jji+=65, i=2, j=10, ii=73, jj-=64, jji+=74, i=3, j=2, ii=2, jj+=11, jji+=3, jji-=1 i=3, j=3, ii=11, jj+=20, jj-=2, jji+=12, jji-=10 i=3, j=4, ii=20, jj+=29, jj-=11, jji+=21, jji-=19 i=3, j=5, ii=29, jj+=38, jj-=20, jji+=30, jji-=28 i=3, j=6, ii=38, jj+=47, jj-=29, jji+=39, jji-=37 i=3, j=7, ii=47, jj+=56, jj-=38, jji+=48, jji-=46 i=3, j=8, ii=56, jj+=65, jj-=47, jji+=57, jji-=55 i=3, j=9, ii=65, jj+=74, jj-=56, jji+=66, jji-=64 i=3, j=10, ii=74, jj-=65, jji+=75, jji-=73 i=4, j=2, ii=3, jj+=12, jji+=4, jji-=2 i=4, j=3, ii=12, jj+=21, jj-=3, jji+=13, jji-=11 i=4, j=4, ii=21, jj+=30, jj-=12, jji+=22, jji-=20 i=4, j=5, ii=30, jj+=39, jj-=21, jji+=31, jji-=29 i=4, j=6, ii=39, jj+=48, jj-=30, jji+=40, jji-=38 i=4, j=7, ii=48, jj+=57, jj-=39, jji+=49, jji-=47 i=4, j=8, ii=57, jj+=66, jj-=48, jji+=58, jji-=56 i=4, j=9, ii=66, jj+=75, jj-=57, jji+=67, jji-=65 i=4, j=10, ii=75, jj-=66, jji+=76, jji-=74 i=5, j=2, ii=4, jj+=13, jji+=5, jji-=3 i=5, j=3, ii=13, jj+=22, jj-=4, jji+=14, jji-=12 i=5, j=4, ii=22, jj+=31, jj-=13, jji+=23, jji-=21 i=5, j=5, ii=31, jj+=40, jj-=22, jji+=32, jji-=30 i=5, j=6, ii=40, jj+=49, jj-=31, jji+=41, jji-=39 i=5, j=7, ii=49, jj+=58, jj-=40, jji+=50, jji-=48 i=5, j=8, ii=58, jj+=67, jj-=49, jji+=59, jji-=57 i=5, j=9, ii=67, jj+=76, jj-=58, jji+=68, jji-=66 i=5, j=10, ii=76, jj-=67, jji+=77, jji-=75 i=6, j=2, ii=5, jj+=14, jji+=6, jji-=4 i=6, j=3, ii=14, jj+=23, jj-=5, jji+=15, jji-=13 i=6, j=4, ii=23, jj+=32, jj-=14, jji+=24, jji-=22 i=6, j=5, ii=32, jj+=41, jj-=23, jji+=33, jji-=31 i=6, j=6, ii=41, jj+=50, jj-=32, jji+=42, jji-=40 i=6, j=7, ii=50, jj+=59, jj-=41, jji+=51, jji-=49 i=6, j=8, ii=59, jj+=68, jj-=50, jji+=60, jji-=58 i=6, j=9, ii=68, jj+=77, jj-=59, jji+=69, jji-=67 i=6, j=10, ii=77, jj-=68, jji+=78, jji-=76 i=7, j=2, ii=6, jj+=15, jji+=7, jji-=5 i=7, j=3, ii=15, jj+=24, jj-=6, jji+=16, jji-=14 i=7, j=4, ii=24, jj+=33, jj-=15, jji+=25, jji-=23 i=7, j=5, ii=33, jj+=42, jj-=24, jji+=34, jji-=32 i=7, j=6, ii=42, jj+=51, jj-=33, jji+=43, jji-=41 i=7, j=7, ii=51, jj+=60, jj-=42, jji+=52, jji-=50 i=7, j=8, ii=60, jj+=69, jj-=51, jji+=61, jji-=59 i=7, j=9, ii=69, jj+=78, jj-=60, jji+=70, jji-=68 i=7, j=10, ii=78, jj-=69, jji+=79, jji-=77 i=8, j=2, ii=7, jj+=16, jji+=8, jji-=6 i=8, j=3, ii=16, jj+=25, jj-=7, jji+=17, jji-=15 i=8, j=4, ii=25, jj+=34, jj-=16, jji+=26, jji-=24 i=8, j=5, ii=34, jj+=43, jj-=25, jji+=35, jji-=33 i=8, j=6, ii=43, jj+=52, jj-=34, jji+=44, jji-=42 i=8, j=7, ii=52, jj+=61, jj-=43, jji+=53, jji-=51 i=8, j=8, ii=61, jj+=70, jj-=52, jji+=62, jji-=60 i=8, j=9, ii=70, jj+=79, jj-=61, jji+=71, jji-=69 i=8, j=10, ii=79, jj-=70, jji+=80, jji-=78 i=9, j=2, ii=8, jj+=17, jji+=9, jji-=7 i=9, j=3, ii=17, jj+=26, jj-=8, jji+=18, jji-=16 i=9, j=4, ii=26, jj+=35, jj-=17, jji+=27, jji-=25 i=9, j=5, ii=35, jj+=44, jj-=26, jji+=36, jji-=34 i=9, j=6, ii=44, jj+=53, jj-=35, jji+=45, jji-=43 i=9, j=7, ii=53, jj+=62, jj-=44, jji+=54, jji-=52 i=9, j=8, ii=62, jj+=71, jj-=53, jji+=63, jji-=61 i=9, j=9, ii=71, jj+=80, jj-=62, jji+=72, jji-=70 i=9, j=10, ii=80, jj-=71, jji+=81, jji-=79 i=10, j=2, ii=9, jj+=18, jji-=8 i=10, j=3, ii=18, jj+=27, jj-=9, jji-=17 i=10, j=4, ii=27, jj+=36, jj-=18, jji-=26 i=10, j=5, ii=36, jj+=45, jj-=27, jji-=35 i=10, j=6, ii=45, jj+=54, jj-=36, jji-=44 i=10, j=7, ii=54, jj+=63, jj-=45, jji-=53 i=10, j=8, ii=63, jj+=72, jj-=54, jji-=62 i=10, j=9, ii=72, jj+=81, jj-=63, jji-=71 i=10, j=10, ii=81, jj-=72, jji-=80 matrix initialized initial matrix, upper left -4.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 1.00 =13.72 1.00 -4.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 = 4.53 0.00 1.00 -4.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00 = 2.67 0.00 0.00 1.00 -4.00 1.00 0.00 0.00 0.00 0.00 0.00 = 1.07 0.00 0.00 0.00 1.00 -4.00 1.00 0.00 0.00 0.00 0.00 =-0.32 0.00 0.00 0.00 0.00 1.00 -4.00 1.00 0.00 0.00 0.00 =-1.55 0.00 0.00 0.00 0.00 0.00 1.00 -4.00 1.00 0.00 0.00 =-2.67 0.00 0.00 0.00 0.00 0.00 0.00 1.00 -4.00 1.00 0.00 =-3.73 0.00 0.00 0.00 0.00 0.00 0.00 0.00 1.00 -4.00 0.00 =-11.58 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4.00 = 3.87 0.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 1.00 =-0.53 initial matrix, lower right 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 1.00 0.00 0.00 = 0.43 -4.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 1.00 0.00 = 0.53 1.00 -4.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 1.00 =-15.87 0.00 0.00 -4.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 =-12.42 0.00 0.00 1.00 -4.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00 =-8.27 0.00 0.00 0.00 1.00 -4.00 1.00 0.00 0.00 0.00 0.00 0.00 =-9.33 0.00 0.00 0.00 0.00 1.00 -4.00 1.00 0.00 0.00 0.00 0.00 =-10.45 0.00 0.00 0.00 0.00 0.00 1.00 -4.00 1.00 0.00 0.00 0.00 =-11.68 0.00 0.00 0.00 0.00 0.00 0.00 1.00 -4.00 1.00 0.00 0.00 =-13.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 1.00 -4.00 1.00 0.00 =-14.67 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 1.00 -4.00 1.00 =-16.53 0.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 1.00 -4.00 =-37.72 exact solution -4.784 -2.560 -0.672 0.928 2.288 3.456 4.480 5.408 6.288 -2.856 -0.912 0.744 2.160 3.384 4.464 5.448 6.384 7.320 -1.200 0.496 1.952 3.216 4.336 5.360 6.336 7.312 8.336 0.232 1.712 3.000 4.144 5.192 6.192 7.192 8.240 9.384 1.488 2.784 3.936 4.992 6.000 7.008 8.064 9.216 10.512 2.616 3.760 4.808 5.808 6.808 7.856 9.000 10.288 11.768 3.664 4.688 5.664 6.640 7.664 8.784 10.048 11.504 13.200 4.680 5.616 6.552 7.536 8.616 9.840 11.256 12.912 14.856 5.712 6.592 7.520 8.544 9.712 11.072 12.672 14.560 16.784 computed solution -4.784 -2.560 -0.672 0.928 2.288 3.456 4.480 5.408 6.288 -2.856 -0.912 0.744 2.160 3.384 4.464 5.448 6.384 7.320 -1.200 0.496 1.952 3.216 4.336 5.360 6.336 7.312 8.336 0.232 1.712 3.000 4.144 5.192 6.192 7.192 8.240 9.384 1.488 2.784 3.936 4.992 6.000 7.008 8.064 9.216 10.512 2.616 3.760 4.808 5.808 6.808 7.856 9.000 10.288 11.768 3.664 4.688 5.664 6.640 7.664 8.784 10.048 11.504 13.200 4.680 5.616 6.552 7.536 8.616 9.840 11.256 12.912 14.856 5.712 6.592 7.520 8.544 9.712 11.072 12.672 14.560 16.784 difference exact-computed solution -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 0.0000 0.0000 0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 0.0000 0.0000 0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 0.0000 0.0000 0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 0.0000 0.0000 0.0000 0.0000 -0.0000 0.0000 -0.0000 -0.0000 -0.0000 total error=2.29455e-013, average error=2.83278e-015, max error=1.06581e-014