Table 10 Computations for \(f''({0})\), \(g'(0)\), \(h'(0)\) and \(\theta '(0)\) with \(\xi _{rad} = 0.5\), \(\xi _{sq} = 1\), \(\xi _{z} = 2\), \(\xi _{\theta } = 1\), \(\xi _{mag} = 3\), \(\xi _{pr} = 0.2\), \(\xi _{hm} = 1\), \(\xi _{pm} = 0.2\), \(\xi _{sm} = 1\), \(\xi _{vis} = 3\), \(S = 1\) and various values of \(\xi _{ec}\).
\(\xi _{ec}\) | HAM Result | BVP4c result | ||||||||
---|---|---|---|---|---|---|---|---|---|---|
\(f''({0})\) | \(-\,g'({0})\) | \(-\,h'({0})\) | \(-\,\theta '({0})\) | \(-\,\Psi '({0})\) | \(f''({0})\) | \(-\,g'({0})\) | \(-\,h'({0})\) | \(-\,\theta '({0})\) | \(-\,\Psi '({0})\) | |
1 | 3.0719 | 0.2981 | 0.1819 | 1.1371 | 1.0988 | 3.0719 | 0.2981 | 0.1819 | 1.1371 | 1.0988 |
2 | 3.0719 | 0.2981 | 0.1819 | 1.2811 | 1.1381 | 3.0719 | 0.2981 | 0.1819 | 1.2811 | 1.1381 |
3 | 3.0719 | 0.2981 | 0.1819 | 1.3101 | 1.2847 | 3.0719 | 0.2981 | 0.1819 | 1.3101 | 1.2847 |
4 | 3.0719 | 0.2981 | 0.1819 | 1.3919 | 1.3899 | 3.0719 | 0.2981 | 0.1819 | 1.3919 | 1.3899 |