$t=0.000$

0.58778527

0.58778527

0.58778527

0.58778527

0.000000%

0.000000%

0.000000%

$t=0.001$

0.58777366

0.58777366

0.58777366

0.58777366

0.000000%

0.000001%

0.000001%

$t=1.000$

0.58778527

0.58778227

0.58778226

0.58778226

0.000511%

0.000511%

0.000511%

$c=1$

$x=0.3$

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

$t=0.000$

0.80901701

0.80901701

0.80901701

0.80901701

0.000000%

0.000000%

0.000000%

$t=0.100$

0.76942090

0.76909362

0.77036673

0.77163985

0.042536%

0.122928%

0.288392%

$t=1.000$

−0.80901701

−0.80858946

−0.80843087

−0.80827227

0.052848%

0.072451%

0.092055%

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

$t=0.000$

0.80901701

0.80901701

0.80901701

0.80901701

0.000000%

0.000000%

0.000000%

$t=0.001$

0.80901302

0.80901302

0.80901305

0.80901308

0.000000%

0.000004%

0.000008%

$t=1.000$

−0.80901701

−0.80894970

−0.80894957

−0.80894943

0.008320%

0.008336%

0.008353%

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

$t=0.000$

0.80901701

0.80901701

0.80901701

0.80901701

0.000000%

0.000000%

0.000000%

$t=0.010$

0.80861781

0.80861778

0.80861781

0.80861794

0.000004%

0.000000%

0.000017%

$t=1.000$

−0.80901701

−0.80899630

−0.80899638

−0.80899659

0.002560%

0.002550%

0.002524%

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

$t=0.000$

0.80901701

0.80901701

0.80901701

0.80901701

0.000000%

0.000000%

0.000000%

$t=0.001$

0.80901302

0.80901302

0.80901302

0.80901302

0.000000%

0.000000%

0.000000%

$t=1.000$

−0.80901701

−0.80901647

−0.80901647

−0.80901647

0.000067%

0.000067%

0.000067%

$c=0.2$

$x=0.4$

$h=0.1$ , $k=0.001$ , $r=4\times {10}^{-6}$ , $n=10$ , $m=1000$ , Number of Grid Points = 10,000

$t=0.000$

0.95105653

0.95105653

0.95105653

0.95105653

0.000000%

0.000000%

0.000000%

$t=0.001$

0.95105634

0.95105634

0.95105634

0.95105634

0.000000%

0.000000%

0.000000%

$t=1.000$

0.76942088

0.77085908

0.77086052

0.77086196

0.186920%

0.187107%

0.187294%

$h=0.01$ , $k=0.05$ , $r=1$ , $n=100$ , $m=20$ , Number of Grid Points = 2000

$t=0.000$

0.95105653

0.95105653

0.95105653

0.95105653

0.000000%

0.000000%

0.000000%

$t=0.050$

0.95058724

0.95058720

0.95058725

0.95058741

0.000004%

0.000001%

0.000018%

$t=1.000$

0.76942088

0.76944331

0.76944429

0.76944718

0.002915%

0.003042%

0.003417%

$h=0.01$ , $k=0.001$ , $r=4\times {10}^{-4}$ , $n=100$ , $m=1000$ , Number of Grid Points = 100,000

$t=0.000$

0.95105653

0.95105653

0.95105653

0.95105653

0.000000%

0.000000%

0.000000%

$t=0.001$

0.95105634

0.95105634

0.95105634

0.95105634

0.000000%

0.000000%

0.000000%

$t=1.000$

0.76942088

0.76943487

0.76943488

0.76943490

0.001818%

0.001819%

0.001821%