Table 4 Variation of \(\beta =\varUpsilon ^{\frac{1}{2}}\), \(f''(0)\), \(\theta (1)\), and \(-\theta '(0)\) using 20th-order HAM via Mathematica package BVPh2.0 approximation when \(A=0.3\), \(I_{0}=0\), \(N=0.2\), \(S=0.4\), \(\mathit{Ma}=1\), \(M=1\), \(\mathit{Pr} =1\)
\(\hbar _{f}\) | \(\hbar _{\theta }\) | β | \(f''(0)\) | θ(1) | \(-\theta '(0)\) |
|---|---|---|---|---|---|
β = 0.2, λ = 0.2 | |||||
−0.0265314 | −0.292062 | 2.82701 | −0.0156117 | 0.177729 | 2.19976 |
−0.0296361 | −0.315862 | 2.62701 | −0.0189389 | 0.211150 | 2.02976 |
−0.0333679 | −0.341349 | 2.42701 | −0.0229204 | 0.250369 | 1.85697 |
β = 1.0, λ = 0.2 | |||||
−0.330660 | −0.460604 | 1.62701 | −0.0915227 | 0.478447 | 1.133350 |
−0.343891 | −0.502384 | 1.42701 | −0.1097190 | 0.553971 | 0.943595 |
−0.352134 | −0.554164 | 1.22701 | −0.1299110 | 0.635164 | 0.753939 |
λ = 0.5, β = 0.2 | |||||
−0.0270687 | −0.290661 | 2.82701 | −0.00718384 | 0.177708 | 2.19878 |
−0.0301325 | −0.314454 | 2.62701 | −0.00872102 | 0.211112 | 2.02871 |
−0.0982505 | −0.315507 | 2.42701 | −0.01055900 | 0.250307 | 1.85587 |
λ = 1.0, β = 0.2 | |||||
−0.0584564 | −0.486120 | 1.62701 | −0.0114765 | 0.477491 | 1.129600 |
−0.1158530 | −0.494437 | 1.42701 | −0.0135242 | 0.552856 | 0.940594 |
−0.1173810 | −0.549646 | 1.22701 | −0.0157667 | 0.633955 | 0.751751 |