Table 1.

Series solution convergence for varied orders of approximations when $\lambda$ = 0.1, Nb = 0.5, Nt = 0.3, K = 0.2, M = 0.3, Le = 1, Pr = 1.2, Rd = 0.2, A = B = 0.1.

Order of Approximation	$-{\mathit{f}}^{″}(0)$	$-{\mathit{g}}^{″}(0)$	$-{\mathit{\theta }}^{\prime }(0)$	$-\mathit{\varphi }(0)$
1	1.19588	0.12037	0.16113	0.16180
3	1.37115	0.13887	0.15382	0.15745
7	1.42903	0.14518	0.14911	0.15586
10	1.45762	0.14852	0.14206	0.15476
13	1.46000	0.14883	0.13937	0.15471
14	1.46000	0.14883	0.13798	0.15460
15	1.46000	0.14883	0.13796	0.15460
18	1.46000	0.14883	0.13796	0.15460