Table 5.

Convergence of $f^{″}(0)$, ${\theta }^{\prime }(0)$ and ${\varphi }^{\prime }(0)$ by HAM when $Nt=Nb=Rd=0.3$, $A=Sc=k=\xi =\gamma =\beta =0.1$, $Pr=M=1$.

Solution Approximation	f′′(0)	θ′(0)	ϕ′(0)
1	−0.05401	−0.10070	−1.10075
4	−0.10218	−0.18890	−1.38506
7	−0.10813	−0.19903	−1.88867
10	−0.10888	−0.20281	−1.99293
13	−0.10894	−0.20154	−2.01113
14	−0.10896	−0.20475	−2.01406
17	−0.10897	−0.20478	−2.01451
20	−0.10897	−0.20479	−2.01458
25	−0.10897	−0.20479	−2.01458