Table 9 The number of iterations, execution times (in sec) and errors of C–N high-order finite difference method for Test problem 1, when \(\gamma =0.75\)

\(h=\tau =\frac{1}{10}\)

53

3.9473 × 10⁻³

2.2815 × 10⁻³

\(h=\tau =\frac{1}{14}\)

48

3.0133 × 10⁻³

1.6230 × 10⁻³

\(h=\tau =\frac{1}{18}\)

52

2.4059 × 10⁻³

1.2567 × 10⁻³

\(h=\tau =\frac{1}{22}\)

57

2.0087 × 10⁻³

1.0258 × 10⁻³

\(h=\tau =\frac{1}{30}\)

65

1.5053 × 10⁻³

7.5067 × 10⁻⁴