分数阶Klein-Gordon方程的一个可靠的数值算法

Q2 Engineering Engineering Transactions Pub Date : 2019-02-14 DOI:10.24423/ENGTRANS.910.20190214

Harendra Singh, Devendra Kumar, Jagdev Singh, C. S. Singh

{"title":"分数阶Klein-Gordon方程的一个可靠的数值算法","authors":"Harendra Singh, Devendra Kumar, Jagdev Singh, C. S. Singh","doi":"10.24423/ENGTRANS.910.20190214","DOIUrl":null,"url":null,"abstract":"The key purpose of the present work is to introduce a numerical algorithm for the solution of the fractional Klein-Gordon equation (FKGE). The numerical algorithm is based on the applications of the operational matrices of the Legendre scaling functions. The main advantage of the numerical algorithm is that it reduces the FKGE into Sylvester form of algebraic equations \nwhich significantly simplify the problem. Numerical results derived by using suggested numerical scheme are compared with the exact solution. The results show that the suggested algorithm is very user friendly for solving FKGE and accurate.","PeriodicalId":38552,"journal":{"name":"Engineering Transactions","volume":"67 1","pages":"21-34"},"PeriodicalIF":0.0000,"publicationDate":"2019-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"24","resultStr":"{\"title\":\"A Reliable Numerical Algorithm for the Fractional Klein-Gordon Equation\",\"authors\":\"Harendra Singh, Devendra Kumar, Jagdev Singh, C. S. Singh\",\"doi\":\"10.24423/ENGTRANS.910.20190214\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The key purpose of the present work is to introduce a numerical algorithm for the solution of the fractional Klein-Gordon equation (FKGE). The numerical algorithm is based on the applications of the operational matrices of the Legendre scaling functions. The main advantage of the numerical algorithm is that it reduces the FKGE into Sylvester form of algebraic equations \\nwhich significantly simplify the problem. Numerical results derived by using suggested numerical scheme are compared with the exact solution. The results show that the suggested algorithm is very user friendly for solving FKGE and accurate.\",\"PeriodicalId\":38552,\"journal\":{\"name\":\"Engineering Transactions\",\"volume\":\"67 1\",\"pages\":\"21-34\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-02-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"24\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Engineering Transactions\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.24423/ENGTRANS.910.20190214\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"Engineering\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Engineering Transactions","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24423/ENGTRANS.910.20190214","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Engineering","Score":null,"Total":0}

引用次数: 24

摘要

本工作的主要目的是介绍一种求解分数阶克莱因-戈登方程（FKGE）的数值算法。数值算法是基于勒让德比例函数的运算矩阵的应用。数值算法的主要优点是它将FKGE简化为代数方程的Sylvester形式，这大大简化了问题。并将所提出的数值格式所得到的数值结果和精确解进行了比较。结果表明，该算法对求解FKGE问题具有很好的用户友好性和准确性。

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

微信好友朋友圈 QQ好友复制链接

本刊更多论文

A Reliable Numerical Algorithm for the Fractional Klein-Gordon Equation

The key purpose of the present work is to introduce a numerical algorithm for the solution of the fractional Klein-Gordon equation (FKGE). The numerical algorithm is based on the applications of the operational matrices of the Legendre scaling functions. The main advantage of the numerical algorithm is that it reduces the FKGE into Sylvester form of algebraic equations which significantly simplify the problem. Numerical results derived by using suggested numerical scheme are compared with the exact solution. The results show that the suggested algorithm is very user friendly for solving FKGE and accurate.

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

Engineering Transactions Engineering-Engineering (all)

CiteScore

1.40

自引率

0.00%

发文量

期刊介绍： Engineering Transactions (formerly Rozprawy Inżynierskie) is a refereed international journal founded in 1952. The journal promotes research and practice in engineering science and provides a forum for interdisciplinary publications combining mechanics with: Material science, Mechatronics, Biomechanics and Biotechnologies, Environmental science, Photonics, Information technologies, Other engineering applications. The journal publishes original papers covering a broad area of research activities including: experimental and hybrid techniques, analytical and numerical approaches. Review articles and special issues are also welcome. Following long tradition, all articles are peer reviewed and our expert referees ensure that the papers accepted for publication comply with high scientific standards. Engineering Transactions is a quarterly journal intended to be interesting and useful for the researchers and practitioners in academic and industrial communities.