Shifted Chebyshev Approach for the Solution of Delay Fredholm and Volterra Integro-Differential Equations via Perturbed Galerkin Method

Subject Areas : Numerical Analysis

Kazeem Issa ¹ , Jafar Biazar ² , Babatunde Yisa ³

1 - Department of Statistics and Mathematical Sciences, Kwara State University, Malete Nigeria PMB 1530, Ilorin Nigeria
2 - University of Guilan, Faculty of Mathematical Sciences, Departhment of Applied Mathematics.
3 - Department of Mathematics, University of Ilorin Nigeria PMB 1515 Ilorin Nigeria

Received: 2019-01-10 Accepted : 2019-03-08 Published : 2019-12-01

Keywords: Delay Fredholm, delay Volterra integro-differential equations, perturbed-Galerkin method, shifted Chebyshev polynomials, perturbation term,

Abstract :

The main idea proposed in this paper is the perturbed shifted Chebyshev Galerkin method for the solutions of delay Fredholm and Volterra integrodifferential equations. The application of the proposed method is also extended to the solutions of integro-differential difference equations. The method is validated using some selected problems from the literature. In all the problems that are considered, the new proposed approach performs better than many other methods.