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Theory and Modern Applications

Table 11 The number of iterations, execution times (in sec) and errors of C–N high-order finite difference method for Test problem 2, when \(\gamma =0.5\) and \(\nu =0.25\)

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

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

38

15.68

1.7920 × 10−2

5.3176 × 10−3

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

44

201.84

9.6753 × 10−3

2.7719 × 10−3

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

38

416.85

7.9215 × 10−3

2.2376 × 10−3

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

37

1766.26

5.8344 × 10−3

1.6210 × 10−3