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SHIFTED LEGENDRE POLYNOMIAL BASED GALERKIN AND COLLOCATION METHODS FOR SOLVING FRACTIONAL ORDER DELAY DIFFERENTIAL EQUATIONS

Author(s)
R. M. JENA Department of Mathematics, National Institute of Technology, Rourkela, India
S. CHAKRAVERTY Department of Mathematics, National Institute of Technology, Rourkela, India
S. O. EDEKI Department of Mathematics, Covenant University,Canaanland, Ota, Nigeria
O. M. OFUYATAN Department of Civil Engineering, Covenant University,Canaanland, Ota, Nigeria
Abstract
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.
Publication Details
Page(s) 535-547
DOI DOI not available
Published Journal: Journal of Theoretical and Applied Information Technology, Volume: 98, Issue: 4, Year: 2020

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Keywords
Legendre polynomial, Galerkin Method, Caputo Fractional Derivatives, Fractional Delay Differential Equation
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