An Optimal Homotopy Asymptotic Approach Applied to Nonlinear MHD Jeffery-Hamel Flow

Table 1

The results of the second-order approximate solutions (5.1), (5.2), and (5.3) and numerical solution of 𝐹(𝑥) for Re=50, 𝛼=5.

𝑥	𝐹(𝑥), (5.1)	𝐹(𝑥), (5.2)	𝐹(𝑥), (5.3)	Numerical solution
0	1	1	1	1
0.1	0.98244611	0.982440382	0.982430842	0.98243124
0.2	0.931225969	0.931302469	0.931225959	0.93122597
0.3	0.850471997	0.850810709	0.850611445	0.85061063
0.4	0.746379315	0.747074996	0.746790784	0.74679081
0.5	0.626298626	0.627192084	0.626947253	0.62694818
0.6	0.497665923	0.498340984	0.498235028	0.49823446
0.7	0.366966345	0.366966353	0.366970088	0.36696635
0.8	0.238952034	0.238148782	0.238142322	0.23812375
0.9	0.116313019	0.115260361	0.115219025	0.11515193
1	0	0	0	0