A simple perturbation approach to Blasius equation

被引：160
作者：
He, JH [1 ]
机构：
[1] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 140卷 / 2-3期
基金：
中国国家自然科学基金;
关键词：
Blasius equation; perturbation method; homotopy technique;
D O I：
10.1016/S0096-3003(02)00189-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we couple the iteration method with the perturbation method to solve the well-known Blasius equation. The obtained approximate analytic solutions are valid for the whole solution domain. Comparison with Howarth's numerical solution reveals that the proposed method is of high accuracy, the first iteration step leads to 6.8% accuracy, and the second iteration step yields the 0.73% accuracy of initial slop. (C) 2002 Elsevier Science Inc. All rights reserved.
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页码：217 / 222
页数：6
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