Table 7 Comparison of the values of \(\beta =\varUpsilon ^{\frac{1}{2}}\), \(f''(0)\), \(\theta (1)\), and \(-\theta '(0)\) using 20th-order HAM via Mathematica package BVPh2.0 approximation and BVP4C for the case \(\beta =0.2\), \(I_{0}=0\), \(\lambda =0.2\), \(A=0.3\), \(N=0.2\), \(S=0.4\), \(\mathit{Ma}=1\), \(M=1\) and several values of Pr

Pr

β

\(f''(0)\)

θ(1)

\(-\theta '(0)\)

β

\(f''(0)\)

θ(1)

\(-\theta '(0)\)