Table 4 Convergence of HAM solution for different orders of approximation for \(f''(0)\), \(-g'(0)\), \(-h'(0)\), \(-n'(0)\), \(-\theta ' (0)\) and \(-\Psi ' (0)\) when \(\xi _{rad} = 0.1\), \(\xi _{sq} = 0.1\), \(\xi _{z} = 0.2\), \(\xi _{\theta } = 0.5\), \(\xi _{mag} = 0.3\), \(\xi _{pr} = 0.2\), \(\xi _{hm} = 1\), \(\xi _{pm} = 0.2\), \(\xi _{sm} = 1\), \(\xi _{ec} = 0.1\), \(\xi _{vis} = 0.3\) and \(S = 0.5\).
m | \(f''(0)\) | \(-\,g'(0)\) | \(-\,h'(0)\) | \(-\,k'(0)\) | \(-\,\theta ' (0)\) | \(-\,\Psi ' (0)\) |
|---|---|---|---|---|---|---|
1 | 3.30248492 | 0.76935826 | \(-0.76249352\) | \(-0.86198432\) | 1.01629436 | 1.00261843 |
6 | 3.30248445 | 0.76935839 | \(-0.76249348\) | \(-0.861984256\) | 1.01629429 | 1.00261862 |
12 | 3.30248472 | 0.76935856 | \(-0.76249352\) | \(-0.861984261\) | 1.01629435 | 1.00261869 |
18 | 3.30248472 | 0.76935856 | \(-0.76249352\) | \(-0.861984261\) | 1.01629435 | 1.00261869 |
24 | 3.30248472 | 0.76935856 | \(-0.76249352\) | \(-0.861984261\) | 1.01629435 | 1.00261869 |
30 | 3.30248472 | 0.76935856 | \(-0.76249352\) | \(-0.861984261\) | 1.01629435 | 1.00261869 |
