{"title":"Solution of Blasius Equation by Variational Iteration","authors":"Yucheng Liu, Sreenu Kurra","doi":"10.5923/J.AM.20110101.03","DOIUrl":null,"url":null,"abstract":"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","PeriodicalId":49251,"journal":{"name":"Journal of Applied Mathematics","volume":"1 1","pages":"24-27"},"PeriodicalIF":1.2000,"publicationDate":"2012-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"18","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5923/J.AM.20110101.03","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 18
Abstract
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
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.
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