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 \(\xi _{ec}\).

From: Hydrodynamic analysis of the magnetic field dependent viscous fluid flow and thermosolutal convection between rotating channels

\(\xi _{ec}\)

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