Table 1 \(H^{1}\) errors and temporal convergence orders of Scheme I for Example 1

1/10

3.5575e−03

–

2.0007e−02

–

9.9520e−02

–

1/20

9.5487e−04

1.8975

7.1177e−03

1.4910

4.6896e−02

1.0855

1/40

2.5607e−04

1.8987

2.5248e−03

1.4953

2.1983e−02

1.0931

1/80

6.8643e−05

1.8994

8.9413e−04

1.4976

1.0280e−02

1.0965

1/160

1.8396e−05

1.8997

3.1638e−04

1.4988

4.8015e−03

1.0983

1/320

4.9297e−06

1.8998

1.1190e−04

1.4994

2.2413e−03

1.0992