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 3 Comparison between Crank–Nicolson (C–N) method and HEGM for Example 2 when \(\gamma =0.5\)

h/τ	Iteration		Time		Maximum error		Average error
h/τ	HEGM	C–N	HEGM	C–N	HEGM	C–N	HEGM	C–N
\(h=\tau =\frac{1}{10}\)	42	38	16.72	15.72	1.7912 ×10⁻²	1.7921 ×10⁻²	5.3164 ×10⁻³	5.3176 ×10⁻³
\(h=\tau =\frac{1}{18}\)	34	44	160.91	201.84	9.6466 ×10⁻³	9.6753 ×10⁻³	2.7624 ×10⁻³	2.7719 ×10⁻³
\(h=\tau =\frac{1}{22}\)	34	38	377.19	416.85	7.9298 ×10⁻³	7.9215 ×10⁻³	2.2387 ×10⁻³	2.2376 ×10⁻³
\(h=\tau =\frac{1}{30}\)	33	37	1446.76	1766.20	5.8326 ×10⁻³	5.8344 ×10⁻³	1.6201 ×10⁻³	1.6210 ×10⁻³