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 = 0.5

4

8

4.87314e−005

0.00496075

8

16

1.52329e−005

1.67766

0.00295188

0.748923

16

32

4.11693e−006

1.88764

0.0015567

0.923148

32

64

1.0158e−006

2.01898

0.000754857

1.04421