h

$\frac{h}{2}$

$\frac{\Vert u\left(t_n\right)-u_h^n\Vert }{\Vert u\left(t_n\right)\Vert }$

rate

$\frac{{\Vert u\left(t_n\right)-u_h^n\Vert }_1}{{\Vert u\left(t_n\right)\Vert }_1}$

rate

S = 1

4

8

9.74534e−005

0.00248086

8

16

3.04614e−005

1.67773

0.00147634

0.748811

16

32

8.23249e−006

1.88758

0.000778593

0.923088

32

64

2.03125e−006

2.01896

0.000377553

1.04419