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

Table 3

Comparison of the numerical results against the SHPM, HPM, HAM, and VIM approximate solutions for 𝐹(𝜂) and 𝐹^′′(𝜂) when Re=50, 𝛼=5, Ha=0, and 𝜙=0.

	𝜂	HPM	Reference [32]	Reference [17]	SHPM			Numerical
					2nd order	3rd order	4th order
𝐹(𝜂)	0	1	1	1	1	1	1	1
	0.25	0.894960	0.894242	0.894243	0.894238	0.894242	0.894242	0.894242
	0.50	0.627220	0.626948	0.626953	0.626937	0.626948	0.626948	0.626948
	0.75	0.302001	0.301991	0.301998	0.301982	0.301990	0.301990	0.301990
	1	0	0	0	0	0	0	0
𝐹^′′(𝜂)	0	−3.539214	−3.539417	−3.539369	−3.539546	−3.539416	−3.539416	−3.539416
	0.25	−2.661930	−2.662083	−2.662048	−2.662153	−2.662084	−2.662084	−2.662084
	0.50	−0.879711	−0.879791	−0.879791	−0.879612	−0.879793	−0.879794	−0.879794
	0.75	−0.447331	0.447242	0.447052	0.447350	0.447244	0.447244	0.447244
	1	−0.854544	0.854367	0.854440	0.854239	0.854369	0.854369	0.854369