$t=0.000$ 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% $c=0.2$ $x=0.4$ $h=0.1$ , $k=0.001$ , $r=4×{10}^{-6}$ , $n=10$ , $m=1000$ , 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% $h=0.01$ , $k=0.001$ , $r=4×{10}^{-4}$ , $n=100$ , $m=1000$ , 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%