Multiple Solutions of Problems in Fluid Mechanics by Predictor Optimal Homotopy Asymptotic Method

被引：5
|
作者：
Alomari, A. K. [1 ]
Anakira, N. Ratib [2 ]
Hashim, I. [2 ,3 ]
机构：
[1] Yarmouk Univ, Fac Sci, Dept Math, Irbid 21163, Jordan
[2] Univ Kebangsaan Malaysia, Ctr Modelling & Data Anal, Sch Math Sci, Bangi 43600, Selangor, Malaysia
[3] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
来源：
ADVANCES IN MECHANICAL ENGINEERING | 2014年
关键词：
POSITIVE SOLUTIONS; EQUATIONS; FLOWS; CONVECTION;
D O I：
10.1155/2014/372537
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
Anewalgorithmbased 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.
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收藏
页数：7
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