$u\left(x,1\right)$ 的误差 $p\left(t\right)$ 的误差

x

$N=100$

$N=200$

$N=400$

$N=800$

t

$N_t=100$

$N_t=400$

$N_t=1600$

$N_t=6400$

0.2

$4.4\times {10}^{-8}$

$1.1\times {10}^{-8}$

$6.8\times {10}^{-9}$

$6.4\times {10}^{-11}$

0.2

$1.5\times {10}^{-2}$

$9.2\times {10}^{-4}$

$5.3\times {10}^{-5}$

$2.1\times {10}^{-6}$

0.4

$3.7\times {10}^{-8}$

$6.8\times {10}^{-9}$

$7.3\times {10}^{-9}$

$1.5\times {10}^{-11}$

0.4

$1.3\times {10}^{-2}$

$8.1\times {10}^{-4}$

$4.6\times {10}^{-5}$

$1.6\times {10}^{-6}$

0.6

$1.2\times {10}^{-8}$

$6.0\times {10}^{-9}$

$4.7\times {10}^{-9}$

$5.3\times {10}^{-11}$

0.6

$1.2\times {10}^{-2}$

$7.1\times {10}^{-4}$

$3.9\times {10}^{-5}$

$1.2\times {10}^{-6}$

0.8

$3.5\times {10}^{-8}$

$3.0\times {10}^{-8}$

$2.2\times {10}^{-9}$

$1.1\times {10}^{-11}$

0.8

$1.0\times {10}^{-2}$

$6.2\times {10}^{-4}$

$3.4\times {10}^{-5}$

$8.9\times {10}^{-7}$