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

x

$N=100$

$N=200$

$N=400$

$N=800$

t

$N_t=100$

$N_t=200$

$N_t=400$

$N_t=800$

0.2

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

$2.7\times {10}^{-7}$

$1.4\times {10}^{-6}$

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

0.2

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

$3.7\times {10}^{-3}$

$9.4\times {10}^{-4}$

$2.3\times {10}^{-4}$

0.4

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

$4.3\times {10}^{-7}$

$1.1\times {10}^{-6}$

$4.0\times {10}^{-5}$

0.4

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

$3.3\times {10}^{-3}$

$8.3\times {10}^{-4}$

$2.1\times {10}^{-4}$

0.6

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

$1.8\times {10}^{-7}$

$2.3\times {10}^{-6}$

$8.6\times {10}^{-6}$

0.6

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

$2.9\times {10}^{-3}$

$7.3\times {10}^{-4}$

$1.8\times {10}^{-4}$

0.8

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

$7.3\times {10}^{-8}$

$2.0\times {10}^{-6}$

$5.9\times {10}^{-6}$

0.8

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

$2.5\times {10}^{-3}$

$5.7\times {10}^{-4}$

$1.7\times {10}^{-4}$