Table 9 Computations for \(f''({0})\), \(-\,g'(0)\), \(-\,h'({0})\), \(-\,k'({0})\) and \(-\theta '(0)\) with \(\xi _{rad} = 0.2\), \(\xi _{sq} = 0.2\), \(\xi _{z} = 0.1\), \(\xi _{\theta } = 1\), \(\xi _{pr} = 2\), \(\xi _{hm} = 1\), \(\xi _{pm} = 1\), \(\xi _{sm} = 0.5\), \(\xi _{ec} = 2\), \(\xi _{vis} = 3\), \(S = 1\) and various values of \(\xi _{mag}\).
\(\xi _{mag}\) | HAM result | BVP4c result | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
\(f''({0})\) | \(-\,g'({0})\) | \(-h'({0})\) | \(-\,k'({0})\) | \(-\,\theta '({0})\) | \(f''({0})\) | \(-g'({0})\) | \(-\,h'({0})\) | \(-k'({0})\) | \(-\,\theta '({0})\) | |
0.5 | 3.1389 | 0.2598 | 0.7994 | 1.4829 | 3.2687 | 3.1389 | 0.2598 | 0.7994 | 1.4829 | 3.2687 |
1 | 3.1372 | 0.2598 | 0.5839 | 1.3799 | 1.3087 | 3.1372 | 0.2598 | 0.5839 | 1.3799 | 1.3087 |
2 | 3.1351 | 0.2599 | 0.4981 | 1.2911 | 1.3097 | 3.1351 | 0.2599 | 0.4981 | 1.2911 | 1.3097 |
3 | 3.1314 | 0.2599 | 0.2389 | 1.1999 | 1.3001 | 3.1314 | 0.2599 | 0.2389 | 1.1999 | 1.3001 |
