The three-dimensional flow past a stretching sheet and the homotopy perturbation method

被引：170
作者：
Ariel, P. Donald [1 ]
机构：
[1] Trinity Western Univ, Dept Math Sci, Langley, BC V2Y 1Y1, Canada
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2007年 / 54卷 / 7-8期
关键词：
stretching sheet; three-dimensional flow; homotopy perturbation method; boundary value problem;
D O I：
10.1016/j.camwa.2006.12.066
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An approximate analytical solution is obtained of the steady, laminar three-dimensional flow for an incompressible, viscous fluid past a stretching sheet using the homotopy perturbation method (HPM) proposed by He. The flow is governed by a boundary value problem (BVP) consisting of a pair of non-linear differential equations. The solution is simple yet highly accurate and compares favorably with the exact solutions obtained early in the literature. The methodology presented in the paper is useful for solving the BVPs consisting of more than one differential equation. (c) 2007 Elsevier Ltd. All rights reserved.
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收藏
页码：920 / 925
页数：6
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