Table 12 Computations for \(f''({0})\), \(g'(0)\), \(h'(0)\), \(-k'({0})\) and \(\theta '(0)\) with \(\xi _{rad} = 2\), \(\xi _{sq} = 1\), \(\xi _{z} = 0.1\), \(\xi _{\theta } = 1\), \(\xi _{mag} = 3\), \(\xi _{pr} = 2\), \(\xi _{hm} = 1\), \(\xi _{pm} = 2\), \(\xi _{ec} = 1\), \(\xi _{vis} = 0.3\), \(S = -0.5\) and various values of \(\xi _{sm}\).
\(\xi _{sm}\) | HAM result | BVP4c result | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
\(f''({0})\) | \(-g'({0})\) | \(-h'({0})\) | \(-k'({0})\) | \(-\theta '({0})\) | \(f''({0})\) | \(-g'({0})\) | \(-h'({0})\) | \(-k'({0})\) | \(-\theta '({0})\) | |
0.1 | 3.9749 | 0.3769 | 0.3996 | 1.0929 | 0.9998 | 3.9749 | 0.3769 | 0.3996 | 1.0929 | 0.9998 |
0.5 | 3.9749 | 0.3769 | 0.3996 | 1.0929 | 1.0069 | 3.9749 | 0.3769 | 0.3996 | 1.0929 | 1.0069 |
1 | 3.9749 | 0.3769 | 0.3996 | 1.0929 | 1.0135 | 3.9749 | 0.3769 | 0.3996 | 1.0929 | 1.0135 |
1.5 | 3.9749 | 0.3769 | 0.3996 | 1.0929 | 1.0299 | 3.9749 | 0.3769 | 0.3996 | 1.0929 | 1.0299 |
