The Optimal Homotopy Asymptotic Method for solving Blasius equation

被引：48
作者：
Marinca, Vasile
Herisanu, Nicolae [1 ]
机构：
[1] Politehnica Univ Timisoara, Timisoara 300222, Romania
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 231卷
关键词：
Optimal Homotopy Asymptotic Method; Blasius equation; Explicit analytic solution; Non-linear technique; ALGORITHM; FLOW;
D O I：
10.1016/j.amc.2013.12.121
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Starting from the reality that many known methods fail in the attempt to obtain analytic solutions of Blasius-type equations, in this work, a new procedure namely Optimal Homotopy Asymptotic Method (OHAM) is proposed to obtain an explicit analytical solution of the Blasius problem. Comparison with Howarth's numerical solution, as well as the obtained residual, reveals that the proposed method is highly accurate. This proves the validity and great potential of the proposed procedure (OHAM) as a new kind of powerful analytical tool for nonlinear problems. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：134 / 139
页数：6
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