用残差幂级数法解析解时间分数阶非线性benjamin-bona-mahony方程

International journal of pure and applied mathematics Pub Date : 2018-04-22 DOI:10.12732/IJAM.V31I2.7

M. Bayrak, M. Bayrak

{"title":"用残差幂级数法解析解时间分数阶非线性benjamin-bona-mahony方程","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":"{\"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}","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

摘要

本文提出了一种新的迭代方法——残差幂级数法(RPS)，用于求解非线性时间分数阶Benjamin-Bona-Mahony (BBM)方程的近似解。数值实验结果与解析解进行了比较，验证了该方法的准确性和有效性。学科分类:41A58、34A08、26A33

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

ANALYTICAL SOLUTION OF TIME-FRACTIONAL NONLINEAR BENJAMIN-BONA-MAHONY EQUATION BY RESIDUAL POWER SERIES METHOD

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

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

International journal of pure and applied mathematics

自引率

0.00%

发文量