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 = 2

4

8

0.000194869

0.00496075

8

16

6.09049e−005

1.67788

0.00295188

0.748923

16

32

1.64595e−005

1.88764

0.0015567

0.923148

32

64

4.06109e−006

2.01898

0.000754857

1.04421