{"title":"ANALYTICAL SOLUTION OF TIME-FRACTIONAL NONLINEAR BENJAMIN-BONA-MAHONY EQUATION BY RESIDUAL POWER SERIES METHOD","authors":"M. Bayrak, M. Bayrak","doi":"10.12732/IJAM.V31I2.7","DOIUrl":null,"url":null,"abstract":"In this paper a new iterative technique, named as residual power series (RPS) method, is applied to find the approximate solution of the nonlinear time-fractional Benjamin-Bona-Mahony (BBM) equation. The results obtained by numerical experiments are compared with the analytical solutions to confirm the accuracy and efficiency of the proposed technique. AMS Subject Classification: 41A58, 34A08, 26A33","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"35 1","pages":"251-262"},"PeriodicalIF":0.0000,"publicationDate":"2018-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International journal of pure and applied mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12732/IJAM.V31I2.7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
In this paper a new iterative technique, named as residual power series (RPS) method, is applied to find the approximate solution of the nonlinear time-fractional Benjamin-Bona-Mahony (BBM) equation. The results obtained by numerical experiments are compared with the analytical solutions to confirm the accuracy and efficiency of the proposed technique. AMS Subject Classification: 41A58, 34A08, 26A33
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