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

Table 3

Comparison between Differential Transformation Method (DTM) [4], Homotopy Perturbation Method (HPM) [4], Homotopy Analysis Method [4], and OHAM-(5.4) for Re=80, 𝛼=−5.

𝑥	𝐹(𝑥) (DTM)	𝐹(𝑥) (HPM)	𝐹(𝑥) (HAM)	𝐹(𝑥) (OHAM)	Numerical
0	1	1	1	1	1
0.1	0.9959603887	0.9960671874	0.9995960242	0.995960605	0.9959606278
0.2	0.9832745481	0.9836959424	0.9832755258	0.983275548	0.9832755383
0.3	0.9601775551	0.9610758773	0.9601798911	0.960179914	0.96017991139
0.4	0.9235170706	0.9249245156	0.9235215737	0.923521643	0.9235215894
0.5	0.8684511349	0.8701997697	0.8684588997	0.868458963	0.86845887772
0.6	0.7880785402	0.7898325937	0.7880910186	0.788090923	0.78809092032
0.7	0.673248448	0.6745334968	0.6731437690	0.673143633	0.6731436346
0.8	0.5119644061	0.5128373095	0.5119909939	0.511991107	0.5119910891
0.9	0.2915280122	0.2918936991	0.2915580178	0.291558742	0.29155874261
1	0	0	−0.000001149	0	0