SOLVING DELAY DIFFERENTIAL EQUATIONS BY ELZAKI TRANSFORM METHOD

Ignatius Nkonyeasua Njoseh; Ebimene J. Mamadu

Ignatius Nkonyeasua Njoseh Mathematics/Reader, Delta State University, Abraka, Nigeria http://orcid.org/0000-0001-7663-4868
Ebimene J. Mamadu Department of Mathematics, University of Ilorin, P.M.B 1515, Ilorin, Nigeria

Keywords: Elzaki transforms, Delay differential equations, Approximate solution, Partial derivatives

Abstract

In this paper, we implement the Elzaki transform method for the solution of delay differential equations (DDEs). The method executes the DDEs by implementing its properties on the given DDE. Also, the method treats the nonlinear terms with a well posed formula. The method is easy to implement with high level of accuracy. Also, restricted transformations, perturbation, linearization or discretization are not recognized. The resulting numerical evidences show that the method converges favourably to the analytic solution. All computational frameworks are performed with maple 18 software.

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