Table 6 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 shooting method for the case \(\beta =0.2\), \(I_{0}=0\), \(A=0.3\), \(N=0.2\), \(S=0.4\), \(\mathit{Ma}=1\), \(M=1\), \(\mathit{Pr} =1\) and several values of λ
λ | HAM | BVP4C | ||||||
|---|---|---|---|---|---|---|---|---|
β | \(f''(0)\) | θ(1) | \(-\theta '(0)\) | β | \(f''(0)\) | θ(1) | \(-\theta '(0)\) | |
0.0 | 2.927010 | −0.0651851 | 0.163076 | 2.29018 | 2.927010 | −0.0650983 | 0.163074 | 2.29021 |
0.2 | 2.627010 | −0.0189389 | 0.211150 | 2.02976 | 2.627010 | −0.0189335 | 0.211149 | 2.02977 |
0.5 | 2.327010 | −0.0116064 | 0.272305 | 1.76827 | 2.327010 | −0.0116024 | 0.272307 | 1.76833 |
1.0 | 2.162701 | −0.0071275 | 0.312168 | 1.62200 | 2.162701 | −0.0071262 | 0.312169 | 1.62204 |
1.5 | 1.827010 | −0.0065553 | 0.409284 | 1.31620 | 1.827010 | −0.0065549 | 0.409284 | 1.31622 |
2.0 | 1.527010 | −0.0064081 | 0.514285 | 1.03508 | 1.527010 | −0.0064080 | 0.514284 | 1.03508 |