A New Spectral-Homotopy Perturbation Method and Its Application to Jeffery-Hamel Nanofluid Flow with High Magnetic Field

Table 2

Comparison of the numerical results against the SHPM approximate solutions for 𝐹^′′(0) when Re=10 and 𝛼=5.

𝜙	Ha	SHPM				HPM	Numerical
		1st order	2nd order	3rd order	4th order
0	0	−2.25205783	−2.25205817	−2.25205817	−2.25205817	−2.2522802	−2.25205817
	50	−2.18134736	−2.18134748	−2.18134748	−2.18134748	−2.1795097	−2.18134748
	100	−2.11325918	−2.11325920	−2.11325920	−2.11325920	−2.1107698	−2.11325920
	500	−1.65047007	−1.65046878	−1.65046877	−1.65046877	−1.6734400	−1.65046877
0.05	0	−2.21083280	−2.21083294	−2.21083294	−2.21083294	−2.2110158	−2.21083294
	50	−2.14969149	−2.14969153	−2.14969153	−2.14969153	−2.1484672	−2.14969153
	100	−2.09055197	−2.09055197	−2.09055197	−2.09055197	−2.0889107	−2.09055197
	500	−1.68097975	−1.68097904	−1.68097904	−1.68097904	−1.6988408	−1.68097904
0.1	0	−2.17511715	−2.17511720	−2.17511720	−2.17511720	−2.1752670	−2.17511720
	50	−2.12250597	−2.12250599	−2.12250599	−2.12250599	−2.1217211	−2.12250599
	100	−2.07140445	−2.07140446	−2.07140446	−2.07140446	−2.0703633	−2.07140446
	500	−1.71124187	−1.71124151	−1.71124151	−1.71124151	−1.7246699	−1.71124151