On a bivariate spectral relaxation method for unsteady magneto-hydrodynamic flow in porous media

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Table 2 Values of \(f''(0,\xi )\), \(g''(0,\xi )\), \(\theta '(0,\xi )\) and \(\phi '(0,\xi )\) when \(\lambda = 0.5, M = 2, c = 0.5, Sc = \gamma = 1, Pr = 1.5\)

\(\xi \backslash N_t\)	5	10	15	20
	\( f''(0,\xi )\)
0.1	−0.85118289	−0.85125725	−0.85125723	−0.85125724
0.3	−1.31678885	−1.31670509	−1.31670508	−1.31670508
0.5	−1.68525477	−1.68530619	−1.68530619	−1.68530619
0.7	−1.99262557	−1.99260827	−1.99260827	−1.99260827
0.9	−2.25932899	−2.25933501	−2.25933501	−2.25933501
	\( g''(0,\xi )\)
0.1	−0.41712280	−0.41715041	−0.41715040	−0.41715040
0.3	−0.63962554	−0.63960199	−0.63960200	−0.63960200
0.5	−0.81764133	−0.81764898	−0.81764898	−0.81764898
0.7	−0.96660357	−0.96660340	−0.96660340	−0.96660340
0.9	−1.09598187	−1.09598304	−1.09598304	−1.09598304
	\( \theta '(0,\xi )\)
0.1	−0.71037577	−0.71087263	−0.71088151	−0.71088162
0.3	−0.74357007	−0.74283215	−0.74284211	−0.74284190
0.5	−0.76493472	−0.76524664	−0.76524370	−0.76524351
0.7	−0.77722565	−0.77727704	−0.77727014	−0.77727005
0.9	−0.77086219	−0.77080729	−0.77080662	−0.77080662
	\( \phi '(0,\xi )\)
0.1	−0.63444437	−0.63444336	−0.63444326	−0.63444326
0.3	−0.76685596	−0.76686699	−0.76686689	−0.76686689
0.5	−0.89121805	−0.89120664	−0.89120666	−0.89120666
0.7	−1.01004174	−1.01004487	−1.01004494	−1.01004494
0.9	−1.12555031	−1.12554912	−1.12554913	−1.12554913
CPU time	0.13	0.47	1.25	2.47