文章基本信息

标题：Multiple Solutions of Problems in Fluid Mechanics by Predictor Optimal Homotopy Asymptotic Method
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作者：A. K. Alomari ; N. Ratib Anakira ; I. Hashim 等
期刊名称：Advances in Mechanical Engineering
印刷版ISSN：1687-8140
电子版ISSN：1687-8140
出版年度：2014
卷号：2014
DOI：10.1155/2014/372537
出版社：Sage Publications Ltd.
摘要：A new algorithm based on the standard optimal homotopy asymptotic method, namely, the predictor optimal homotopy asymptotic method (POHAM), is proposed to predict the multiplicity of the solutions of nonlinear differential equations with boundary conditions. This approach is successfully implemented to obtain multiple solutions of a mixed convection flow model in a vertical channel and a nonlinear model arising in heat transfer. A new technique for obtaining the initial guess to accelerate the convergence of the series solution is presented.