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

−0.80701858

−0.80701858

−0.80701858

0.247020%

0.247020%

0.247020%

c = 0.2

x = 0.4

h = 0.1 , k = 0.001 , r = 4 × 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

0.77087121

0.77087265

0.77087409

0.188496%

0.188683%

0.188870%

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

0.95058730

0.000004%

0.000001%

0.000006%

t = 1.000

0.76942088

0.77001501

0.77001598

0.77001687

0.077217%

0.077343%

0.077460%

h = 0.01 , k = 0.001 , r = 4 × 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

0.76944355

0.76944356

0.76944357

0.002946%

0.002947%

0.002948%