Research Article
Spectral-Homotopy Perturbation Method for Solving Governing MHD Jeffery-Hamel Problem
Table 1
Comparison between the HPM, SHPM, and numerical results of
F(
) for different values of
when
and
.
| ā | | 0.1 | 0.2 | 0.3 | 0.4 | 0.5 | 0.6 | 0.7 | 0.8 | 0.9 |
| | HPM | 0.977071 | 0.911454 | 0.810411 | 0.685923 | 0.549843 | 0.413170 | 0.284602 | 0.170279 | 0.074423 | SHPM | 0.977136 | 0.911454 | 0.810955 | 0.686840 | 0.551195 | 0.415007 | 0.286958 | 0.173044 | 0.076826 | Numeric | 0.977136 | 0.911453 | 0.810954 | 0.686838 | 0.551193 | 0.415005 | 0.286957 | 0.173044 | 0.076826 |
| | HPM | 0.983734 | 0.936343 | 0.861689 | 0.765340 | 0.653396 | 0.531462 | 0.403813 | 0.272871 | 0.138943 | SHPM | 0.983736 | 0.936343 | 0.861708 | 0.765375 | 0.653451 | 0.531542 | 0.403921 | 0.273000 | 0.139045 | Numeric | 0.983736 | 0.936343 | 0.861708 | 0.765375 | 0.653451 | 0.531542 | 0.403921 | 0.273000 | 0.139045 |
| | HPM | 0.988320 | 0.953804 | 0.897852 | 0.822470 | 0.729682 | 0.620975 | 0.496664 | 0.355212 | 0.192382 | SHPM | 0.988322 | 0.953804 | 0.897870 | 0.822501 | 0.729725 | 0.621028 | 0.496723 | 0.355266 | 0.192418 | Numeric | 0.988322 | 0.953804 | 0.897870 | 0.822501 | 0.729725 | 0.621028 | 0.496723 | 0.355266 | 0.192418 |
| | HPM | 0.993761 | 0.974806 | 0.942279 | 0.894743 | 0.829747 | 0.743476 | 0.629987 | 0.479934 | 0.278279 | SHPM | 0.993765 | 0.974806 | 0.942318 | 0.894809 | 0.829843 | 0.743602 | 0.630138 | 0.480096 | 0.278418 | Numeric | 0.993765 | 0.974806 | 0.942318 | 0.894809 | 0.829843 | 0.743602 | 0.630138 | 0.480096 | 0.278418 |
|
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