Table 9 Errors and computational orders of compact difference scheme with \(\beta =\frac{1}{10}\) for W

\(\frac{1}{10}\)

\(\frac{1}{{10}^{2}}\)

1.915e−03

–

1.065e−03

–

\(\frac{1}{20}\)

\(\frac{1}{{20}^{2}}\)

1.379e−04

3.80

7.647e−05

3.80

\(\frac{1}{30}\)

\(\frac{1}{{30}^{2}}\)

2.823e−05

3.91

1.539e−05

3.95

\(\frac{1}{40}\)

\(\frac{1}{{40}^{2}} \)

9.027e−06

3.96

4.847e−06

4.02

\(\frac{1}{50}\)

\(\frac{1}{{50}^{2}}\)

3.670e−06

4.03

1.976e−06

4.02

\(\frac{1}{60}\)

\(\frac{1}{{60}^{2}}\)

1.767e−06

3.01

9.499e−07

4.02