Table 3 Errors and computational orders of compact difference scheme for V

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

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

1.306e−03

–

6.532e−04

–

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

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

5.261e−05

4.63

2.631e−05

4.63

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

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

9.433e−06

4.24

4.717e−06

4.24

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

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

2.850e−06

4.16

1.425e−06

4.16

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

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

1.136e−06

4.12

5.680e−07

4.12

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

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

5.379e−07

4.10

2.690e−07

4.10