$t=0.000$ 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%