{"title":"线性和非线性分数阶偏微分方程组数值计算的分数阶降阶微分变换方法","authors":"B. K. Singh","doi":"10.12816/0033742","DOIUrl":null,"url":null,"abstract":"This paper presents an alternative numerical computation of a system of linear and nonlinear fractional partial differential equations obtained by employing fractional reduced differential transform method (FRDTM), where Caputo type fractional derivative is taken. The effectiveness and convergence of FRDTM is tested by means of four problems, which indicate the validity and great potential of the FRDTM for solving system of fractional partial differential equations.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":"1154 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"20","resultStr":"{\"title\":\"Fractional Reduced Differential Transform Method for Numerical Computation of a System of Linear and Nonlinear Fractional Partial Differential Equations\",\"authors\":\"B. K. Singh\",\"doi\":\"10.12816/0033742\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper presents an alternative numerical computation of a system of linear and nonlinear fractional partial differential equations obtained by employing fractional reduced differential transform method (FRDTM), where Caputo type fractional derivative is taken. The effectiveness and convergence of FRDTM is tested by means of four problems, which indicate the validity and great potential of the FRDTM for solving system of fractional partial differential equations.\",\"PeriodicalId\":210748,\"journal\":{\"name\":\"International Journal of Open Problems in Computer Science and Mathematics\",\"volume\":\"1154 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"20\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Open Problems in Computer Science and Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12816/0033742\",\"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 Open Problems in Computer Science and Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12816/0033742","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Fractional Reduced Differential Transform Method for Numerical Computation of a System of Linear and Nonlinear Fractional Partial Differential Equations
This paper presents an alternative numerical computation of a system of linear and nonlinear fractional partial differential equations obtained by employing fractional reduced differential transform method (FRDTM), where Caputo type fractional derivative is taken. The effectiveness and convergence of FRDTM is tested by means of four problems, which indicate the validity and great potential of the FRDTM for solving system of fractional partial differential equations.