$t=0.8$

0.18163571

0.18152483

0.18152468

0.18152454

0.061050%

0.061130%

0.061209%

$t=1.0$

0.58778527

0.58778525

0.58778525

0.58778525

0.000003%

0.000003%

0.000003%

$c=1$

$x=0.3$

$h=0.1$ , $k=0.1$ , $r=1$ , $n=10$ , $m=10$ , Number of Grid Points = 100

$t=0.0$

0.80901701

0.80901701

0.80901701

0.80901701

0.000000%

0.000000%

0.000000%

$t=0.1$

0.76942090

0.76909362

0.76942090

0.76974818

0.042536%

0.000000%

0.042536%

$t=0.3$

0.47552825

0.47467142

0.47552825

0.47638508

0.180184%

0.000000%

0.180184%

$t=0.4$

0.24999998

0.24899272

0.24999998

0.25100724

0.402904%

0.000000%

0.402904%

$t=0.5$

−0.00000004

−0.00105913

−0.00000004

0.00105906

0.105910%

0.000000%

0.105910%

$t=0.6$

−0.25000005

−0.25100730

−0.25000005

−0.24899279

0.402904%

0.000000%

0.402904%

$t=0.7$

−0.47552831

−0.47638513

−0.47552831

−0.47467148

0.180184%

0.000000%

0.180184%

$t=1.0$

−0.80901701

−0.80901696

−0.80901696

−0.80901696

0.000006%

0.000006%

0.000006%

$h=0.1$ , $k=0.001$ , $r={10}^{-4}$ , $n=10$ , $m=1000$ , Number of Grid Points = 10,000

$t=0.0$

0.80901701

0.80901701

0.80901701

0.80901701

0.000000%

0.000000%

0.000000%

$t=0.1$

0.76942090

0.76973959

0.76974281

0.76974603

0.041420%

0.041838%

0.042257%

$t=0.3$

0.47552825

0.47804960

0.47805804

0.47806648

0.530221%

0.531995%

0.533770%

$t=0.4$

0.24999998

0.25395755

0.25396748

0.25397741

1.583029%

1.587002%

1.590975%

$t=0.5$

−0.00000004

0.00520847

0.00521893

0.00522939

0.520850%

0.521897%

0.522943%

$t=0.6$

−0.25000005

−0.24404630

−0.24403633

−0.24402636

2.381497%

2.385486%

2.389475%

$t=0.7$

−0.47552831

−0.46960632

−0.46959780

−0.46958928

1.245349%

1.247141%

1.248932%

$t=1.0$

−0.80901701

−0.80894974

−0.80894961

−0.80894947

0.008315%

0.008331%

0.008348%

$h=0.01$ , $k=0.01$ , $r=1$ , $n=100$ , $m=100$ , Number of Grid Points = 10,000

$t=0.0$

0.80901701

0.80901701

0.80901701

0.80901701

0.000000%

0.000000%

0.000000%

$t=0.1$

0.80861781

0.80861778

0.80861781

0.80861784

0.000004%

0.000000%

0.000004%

$t=0.3$

0.76942090

0.76942057

0.76942090

0.76942122

0.000042%

0.000000%

0.000042%

$t=0.4$

0.47552825

0.47552740

0.47552825

0.47552910

0.000178%

0.000000%

0.000178%

$t=0.5$

0.24999998

0.24999898

0.24999998

0.25000097

0.000398%

0.000000%

0.000398%

$t=0.6$

−0.00000004

−0.00000108

−0.00000004

0.00000101

0.000105%

0.000000%

0.000105%

$t=0.7$

−0.25000005

−0.25000104

−0.25000005

−0.24999905

0.000398%

0.000000%

0.000398%

$t=1.0$

−0.47552831

−0.47552915

−0.47552831

−0.47552746

0.000178%

0.000000%

0.000178%

$t=0.0$

−0.80901701

−0.80901696

−0.80901696

−0.80901696

0.000006%

0.000006%

0.000006%

$h=0.01$ , $k=0.001$ , $r={10}^{-2}$ , $n=100$ , $m=1000$ , Number of Grid Points = 100,000

$t=0.0$

0.80901701

0.80901701

0.80901701

0.80901701

0.000000%

0.000000%

0.000000%

$t=0.1$

0.76942090

0.76942406

0.76942409

0.76942413

0.000411%

0.000416%

0.000420%

$t=0.3$

0.47552825

0.47555328

0.47555336

0.47555345

0.005263%

0.005281%

0.005299%

$t=0.4$

0.24999998

0.25003924

0.25003934

0.25003944

0.015705%

0.015745%

0.015785%

$t=0.5$

−0.00000004

0.00005160

0.00005170

0.00005181

0.005163%

0.005174%

0.005184%