{"title":"Solution of differential equations of Lane-Emden type by combining integral transform and variational iteration method","authors":"N. Zomot, O. Ababneh","doi":"10.12988/NADE.2016.613","DOIUrl":null,"url":null,"abstract":"In this paper, we present a reliable combined the modified Sumudu transform and the new modified variational iteration method to solve some nonlinear differential equations of Lane-Emden type. The results of these equations have been find in terms of convergent series with computable components. The nonlinear terms can be handled by using the variational iteration method. This method is efficient and easy to handle such nonlinear differential equations.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"32 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Analysis and Differential Equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/NADE.2016.613","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
In this paper, we present a reliable combined the modified Sumudu transform and the new modified variational iteration method to solve some nonlinear differential equations of Lane-Emden type. The results of these equations have been find in terms of convergent series with computable components. The nonlinear terms can be handled by using the variational iteration method. This method is efficient and easy to handle such nonlinear differential equations.