变分迭代法求解Blasius方程

IF 1.2 Q2 MATHEMATICS, APPLIED

Journal of Applied Mathematics Pub Date : 2012-08-31 DOI:10.5923/J.AM.20110101.03

Yucheng Liu, Sreenu Kurra

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引用次数: 18

摘要

blasius方程是流体力学中用于求解边界层问题的三阶非线性常微分方程。本文提出了一种应用何氏变分迭代法求解Blasius方程的方法。导出了近似解析解，并与Ado- mian分解法得到的结果进行了比较。对比结果表明，该方法是准确的，而且采用该方法确实加快了幂级数的收敛速度。在此基础上，利用Matlab编写了一种鲁棒高效的算法，可方便地用于求解Blasius方程问题

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Solution of Blasius Equation by Variational Iteration

TheBlasius equation is a well known third-order nonlinear ordinary differential equation, which arises in cer- tain boundary layer problems in the fluid dynamics. This paper presents a way of applying He"s variational iteration method to solve the Blasius equation. Approximate analytical solution is derived and compared to the results obtained from Ado- mian decomposition method. Comparisons show that the present method is accurate and the using of He"s method does accelerate the convergence of the power series. A robust and efficient algorithm is also programmed using Matlab based on the present approach, which can be easily employed to solve Blasius equation problems

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来源期刊

Journal of Applied Mathematics MATHEMATICS, APPLIED-

CiteScore

2.70

自引率

0.00%

发文量

审稿时长

3.2 months

期刊介绍： Journal of Applied Mathematics is a refereed journal devoted to the publication of original research papers and review articles in all areas of applied, computational, and industrial mathematics.