Shifted Chebyshev approach for the solution of delay Fredholm and Volterra integro-differential equations via perturbed Galerkin method

2019/01/10 by Kazeem Issa, Issa, Kazeem, Jafar Biazar +3
Mathematics · #Differential Equations and Numerical Methods #Fractional Differential Equations Solutions #Numerical methods for differential equations

paper · doi:10.82521/ijo.2019.1018750

openalex publication_date 2019/01/10 · openalex created_date 2019/04/11 · openalex updated_date 2026/07/22

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.

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