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  • 标题:SHIFTED LEGENDRE POLYNOMIAL BASED GALERKIN AND COLLOCATION METHODS FOR SOLVING FRACTIONAL ORDER DELAY DIFFERENTIAL EQUATIONS
  • 本地全文:下载
  • 作者:R. M. JENA ; S. CHAKRAVERTY ; S. O. EDEKI
  • 期刊名称:Journal of Theoretical and Applied Information Technology
  • 印刷版ISSN:1992-8645
  • 电子版ISSN:1817-3195
  • 出版年度:2020
  • 卷号:98
  • 期号:4
  • 页码:535-547
  • 出版社:Journal of Theoretical and Applied
  • 摘要:In this article, effective numerical methods for the solution of fractional order delay differential equations (FODDEs) are presented. The fractional derivative (FD) is defined in Caputo sense. Shifted Legendre polynomials are used in the Collocation and Galerkin methods to convert FDDEs to the linear and/or nonlinear system in algebraic form of equations. Example problems are addressed to show the powerfulness and efficacy of the methods.
  • 关键词:Residual;Galerkin Method;Fractional Delay Differential Equation;Legendre Polynomial;Caputo Fractional Derivatives
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