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

Jena, R. M. and Chakraverty, S. and Edeki, S.O. and Ofuyatan, O. M. (2020) SHIFTED LEGENDRE POLYNOMIAL BASED GALERKIN AND COLLOCATION METHODS FOR SOLVING FRACTIONAL ORDER DELAY DIFFERENTIAL EQUATIONS. Journal of Theoretical and Applied Information Technology, 98 (4). pp. 535-547. ISSN E-ISSN: 1817-3195,1992-8645

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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.

Item Type:	Article
Uncontrolled Keywords:	Residual, Galerkin Method, Fractional Delay Differential Equation, Legendre Polynomial, Caputo Fractional Derivatives
Subjects:	Q Science > QA Mathematics T Technology > TA Engineering (General). Civil engineering (General)
Divisions:	Faculty of Engineering, Science and Mathematics > School of Civil Engineering and the Environment Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User:	nwokealisi
Date Deposited:	22 Jun 2020 14:06
Last Modified:	02 Feb 2023 11:08
URI:	http://eprints.covenantuniversity.edu.ng/id/eprint/13404

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