Table 11 Computations for \(f''({0})\), \(-g'(0)\), \(-h'(0)\), \(-k'({0})\) and \(-\theta '(0)\) with \(\xi _{rad} = 0.2\), \(\xi _{sq} = 0.2\), \(\xi _{z} = 0.1\), \(\xi _{\theta } = 1\), \(\xi _{mag} = 1\), \(\xi _{pr} = 2\), \(\xi _{hm} = 1\), \(\xi _{sm} = 0.5\), \(\xi _{ec} = 2\), \(\xi _{vis} = 3\), \(S = 1\) and various values of \(\xi _{pm}\).
\(\xi _{pm}\) | 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 | 3.1301 | 0.1299 | 0.8102 | 0.6989 | 1.1127 | 3.1301 | 0.1299 | 0.8102 | 0.6989 | 1.1127 |
0.5 | 3.1301 | 0.1299 | 0.8102 | 0.6989 | 1.2994 | 3.1301 | 0.1299 | 0.8102 | 0.6989 | 1.2994 |
1 | 3.1301 | 0.1299 | 0.8102 | 0.6989 | 1.3999 | 3.1301 | 0.1299 | 0.8102 | 0.6989 | 1.3999 |
2 | 3.1301 | 0.1299 | 0.8102 | 0.6989 | 1.5391 | 3.1301 | 0.1299 | 0.8102 | 0.6989 | 1.5391 |
