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

Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 16 The total computation effort for different mesh size for Example 1 when \(\alpha =0.75\)

k/m	High-order finite difference method		HEGM
k/m	No. of iter.	Total operations	No. of iter.	Total operations
k = m = 10	46	702,696	53	826,800
k = m = 18	49	1,926,092	52	2,079,168
k = m = 22	48	3,863,616	57	4,653,936
k = m = 30	47	16,592,692	65	23,166,000