Spectral-Homotopy Perturbation Method for Solving Governing MHD Jeffery-Hamel Problem

Table 3

Comparison between DTM, HPM, HAM, SHPM, and numerical solution of F(𝜂) for various values of 𝜂 when Re=80, 𝛼=−5^∘, and 𝐻=0.

𝜂	ADM	HPM	HAM	SHPM	Numerical
0.0	1	1	1	1	1
0.1	0.99596039	0.99606719	0.99596062	0.99596206	0.99596205
0.2	0.98327455	0.98369594	0.98327553	0.98328122	0.98328121
0.3	0.96017756	0.96107588	0.96017989	0.96019253	0.96019253
0.4	0.92351707	0.92492452	0.92352157	0.92354347	0.92354347
0.5	0.86845113	0.87019977	0.86845890	0.86849152	0.86849152
0.6	0.78807854	0.78983259	0.78809102	0.78813414	0.78813414
0.7	0.67312484	0.67453350	0.67314377	0.67319429	0.67319429
0.8	0.51196441	0.51283731	0.51199099	0.51204134	0.51204134
0.9	0.29152801	0.29189370	0.29155802	0.29159436	0.29159436
1.0	0.00000000	0.00000000	−0.00000115	0.00000000	0.00000000