A Novel Numerical Technique for Two-Dimensional Laminar Flow between Two Moving Porous Walls

Table 7

Comparison of $F^{\prime }(0)/\mathrm{Re}$ and $F^{\prime \prime \prime }(0)/\mathrm{Re}$ obtained at different orders for the SLM, and the $[m,m]$ homotopy-Páde approximation when $\mathrm{Re}=-11$ and $\alpha =3/4$. For the SLM first solution, $\beta =-5,$ and $N=25\text{,}$$\beta =1,$ and $N=25$ for the SLM second solution, and for the SLM third solution $\beta =3,$ and $N=25$.

	$[m,m]$ homotopy-Páde [24]			SLM
	order	$F^{\prime }(0)/\mathrm{Re}$	$F^{\mathrm{\prime \prime \prime }}(0)/\mathrm{Re}$	order	$F^{\prime }(0)$	$F^{\mathrm{\prime \prime \prime }}(0)$
First solution	4	$-$1.0231621	24.2925851	2	$-$1.3250168	27.8640486
	8	$-$1.0237700	24.2863797	3	$-$1.0765777	24.9095006
	16	$-$1.0237712	24.2863088	4	$-$1.0259527	24.3119987
	20	$-$1.0237712	24.2863088	6	$-$1.0237712	24.2863088
	24	$-$1.0237712	24.2863088	8	$-$1.0237712	24.2863088
Second solution	4	0.1668590	10.282860	2	0.2134950	9.682581
	8	0.1679980	10.239451	3	0.1718420	10.216566
	16	0.1693518	10.245026	4	0.1693573	10.245102
	20	0.1693532	10.245150	6	0.1693531	10.245151
	24	0.1693532	10.245151	8	0.1693531	10.245151
Third solution	4	$\dots$	$\dots$	2	2.76262	$-$15.5266
	8	2.81591	$-$15.8950	3	2.76111	$-$15.5123
	16	2.76154	$-$15.5157	4	2.76111	$-$15.5122
	20	2.76113	$-$15.5123	6	2.76111	$-$15.5122
	24	2.76111	$-$15.5123	8	2.76111	$-$15.5122