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

Table 6

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 $\mathrm{Re}=-10$ and $\alpha =4$. For the SLM first solution, $\beta =-1,$ and $N=25$, and for the SLM second solution, $\beta =-5,$ and $N=25$.

	$[m,m]$ homotopy-Padé [24]			SLM
	order	$F^{\prime }(0)/\mathrm{Re}$	$F^{\mathrm{\prime \prime \prime }}(0)/\mathrm{Re}$	order	$F\text{'}(0)$	$F^{\prime \prime \prime }(0)$
First solution	4	0.624478732	8.265444222	2	0.624485895	8.26283765
	8	0.625005336	8.255477422	3	0.625007516	8.25544430
	16	0.625007395	8.255446127	4	0.625007396	8.25544612
	20	0.625007396	8.255446125	6	0.625007396	8.25544612
	24	0.625007396	8.255446124	8	0.625007396	8.25544612
Second solution	4	$-$1.219891	36.01091	2	$-$1.190934	35.86042
	8	$-$1.178465	35.17878	3	$-$1.190323	35.85416
	16	$-$1.190319	35.85409	4	$-$1.190323	35.85416
	20	$-$1.190323	35.85415	6	$-$1.190323	35.85416
	24	$-$1.190323	35.85416	8	$-$1.190323	35.85416