文章基本信息

标题：An effective modification of the homotopy perturbation method for MHD viscous flow over a stretching sheet
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作者：M. Fathizadeh ; M. Fathizadeh ; M. Madani 等
期刊名称：Journal of King Saud University - Science
印刷版ISSN：1018-3647
出版年度：2013
卷号：25
期号：2
页码：107-113
DOI：10.1016/j.jksus.2011.08.003
语种：English
出版社：Elsevier
摘要：Abstract In this paper, we propose a powerful modification of the homotopy perturbation method that will accelerate the rapid convergence of series solution. The modified method is employed to solve the MHD boundary-layer equations. The viscous fluid is electrically conducting in the presence of a uniform applied magnetic field and the induced magnetic field is neglected for small magnetic Reynolds number. Similarity solutions of ordinary differential equation resulting from the momentum equation are obtained. Finally, some numerical comparisons among the new modified homotopy perturbation method, the standard homotopy perturbation, the Exact Solution and the Shooting method have been made, which manifest that the modified method is a very accurate and effective algorithm to solve the two-dimensional MHD viscous flow over a stretching sheet.
关键词：New modified homotopy perturbation method; Similarity transforms; MHD viscous flow;