Table 2 The spatial errors and convergence orders with \(\tau=\frac{1}{5000}\)

0.2

1/4

3.7584486e − 2

∗

7.0194896e − 2

∗

1/8

2.1460025e − 3

4.13041

3.9870246e − 3

4.13798

1/16

1.3155654e − 4

4.02790

2.4435715e − 4

4.02825

1/32

8.2162754e − 6

4.00105

1.5201566e − 5

4.00669

0.4

1/4

3.9172112e − 2

∗

6.9118840e − 2

∗

1/8

2.2323011e − 3

4.13322

3.9321438e − 3

4.13569

1/16

1.3682056e − 4

4.02817

2.4101573e − 4

4.02812

1/32

8.5392992e − 6

4.00202

1.4999655e − 5

4.00613

0.6

1/4

4.0855486e − 2

∗

6.7504824e − 2

∗

1/8

2.3249758e − 3

4.13524

3.8502877e − 3

4.13195

1/16

1.4239539e − 4

4.02924

2.3604686e − 4

4.02782

1/32

8.8294610e − 6

4.01143

1.4703310e − 5

4.00486

0.8

1/4

4.2399284e − 2

∗

6.5355436e − 2

∗

1/8

2.4119363e − 3

4.13577

3.7401138e − 3

4.12715

1/16

1.4702052e − 4

4.03610

2.2944121e − 4

4.02689

1/32

8.3350082e − 6

4.14069

1.4399479e − 5

3.99404