Table 2 Optimal values of convergence control parameters in comparison different orders of approximation with \(S_q=1.0\), \(\Omega =2\), \(D_u=0.2\), \(P_r=0.1\), \( S_c=0.1 \), \( S_r=1 \), \( S=0.5\), \( M=0.5 \), \(R_d=1\), \(E_c=0.2 \), and \(\delta =0.1\).

From: A parametric study on the analysis of thermosolutal convection for magneto-hydrodynamics dependent viscous fluid

Order

\(h_f\)

\(h_g\)

\(h_{\theta }\)

\(h_{\phi }\)

\(\varepsilon _m^t\)

2

− 1.0838

− 0.866062

− 0.144849

− 1.08755

0.00120324

3

− 1.08386

− 0.879546

− 0.141488

− 1.07912

8.79403\(\times 10^{-6}\)

4

− 1.08172

− 0.888358

− 0.144455

− 0.983393

1.3028\(\times 10^{-7}\)

5

− 0.928336

− 0.996524

− 0.139297

− 1.06943

6.89601\(\times 10^{-8}\)

6

− 1.0729

− 0.892665

− 0.138309

− 1.03479

\(-\)4.36697\(\times 10^{-12}\)

7

− 1.01666

− 0.884029

− 0.130717

− 1.08066

1.25908\(\times 10^{-11}\)