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Theory and Modern Applications

Table 6 Comparison between C–N high-order finite difference method and HEGM for Example 3 when \(\gamma =0.1\)

From: A new fourth-order explicit group method in the solution of two-dimensional fractional Rayleigh–Stokes problem for a heated generalized second-grade fluid

h/τ

Iteration

Time

Maximum error

Average error

HEGM

C–N

HEGM

C–N

HEGM

C–N

HEGM

C–N

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

43

50

14.71

25.47

1.0779 ×10−1

1.3229 ×10−1

6.5071 ×10−2

6.7078 ×10−2

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

45

53

56.87

97.87

9.72047 ×10−2

9.6072 ×10−2

5.5989 ×10−2

5.8080 ×10−2

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

46

56

151.07

221.53

9.1148 ×10−2

9.4512 ×10−2

5.0646 ×10−2

5.1572 ×10−2

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

44

57

342.85

435.62

8.74869 ×10−2

8.9345 ×10−2

4.74195 ×10−2

4.6185 ×10−2