Syed Tauseef Mohyud-Din, Waseem Sikander, Umar Khan, Naveed Ahmed
{"title":"Optimal variational iteration method for nonlinear problems","authors":"Syed Tauseef Mohyud-Din, Waseem Sikander, Umar Khan, Naveed Ahmed","doi":"10.1016/j.jaubas.2016.09.004","DOIUrl":null,"url":null,"abstract":"<div><p>This paper focuses on the study of boundary value problems using well-known He’s variational iteration method which is coupled with an auxiliary parameter. Three examples are given to show the efficiency and importance of the proposed algorithm. The reliability and accuracy has been proved by comparing our results with the solution obtained by standard variational iteration method.</p></div>","PeriodicalId":17232,"journal":{"name":"Journal of the Association of Arab Universities for Basic and Applied Sciences","volume":"24 ","pages":"Pages 191-197"},"PeriodicalIF":0.0000,"publicationDate":"2017-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jaubas.2016.09.004","citationCount":"15","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Association of Arab Universities for Basic and Applied Sciences","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1815385216300372","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 15
Abstract
This paper focuses on the study of boundary value problems using well-known He’s variational iteration method which is coupled with an auxiliary parameter. Three examples are given to show the efficiency and importance of the proposed algorithm. The reliability and accuracy has been proved by comparing our results with the solution obtained by standard variational iteration method.
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