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Theory and Modern Applications

Table 17 The total computation effort for different mesh size for Example 2 when \(\alpha =0.5\)

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

k/m

High-order finite difference method

HEGM

No. of iter.

Total operations

No. of iter.

Total operations

k = m = 10

39

1,559,376

38

1,493,704

k = m = 18

44

3,592,512

34

2,736,728

k = m = 22

38

5,517,600

34

4,876,824

k = m = 30

37

13,186,800

33

11,650,188