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Theory and Modern Applications

Table 8 The number of iterations, execution times (in sec) and errors of C–N high-order finite difference method for Test problem 1, when \(\gamma =0.1\)

From: High-order compact scheme for the two-dimensional fractional Rayleigh–Stokes problem for a heated generalized second-grade fluid

h/τ

Iteration

Time

Maximum error

Average error

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

52

18.42

5.7562 × 10−3

2.7256 × 10−3

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

49

216.68

4.6550 × 10−3

2.1446 × 10−3

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

56

601.96

4.0416 × 10−3

1.8512 × 10−3

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

63

2577.19

3.0746 × 10−3

1.4077 × 10−3