Shifted Chebyshev Approach for the Solution of Delay Fredholm and Volterra Integro-Differential Equations via Perturbed Galerkin Method
محورهای موضوعی : Numerical Analysis
Kazeem Issa
1
(
Department of Statistics and Mathematical Sciences, Kwara State University, Malete Nigeria
PMB 1530, Ilorin Nigeria
)
Jafar Biazar
2
(
University of Guilan,
Faculty of Mathematical Sciences,
Departhment of Applied Mathematics.
)
Babatunde Yisa
3
(
Department of Mathematics, University of Ilorin Nigeria
PMB 1515 Ilorin Nigeria
)
کلید واژه: Delay Fredholm, delay Volterra integro-differential equations, perturbed-Galerkin method, shifted Chebyshev polynomials, perturbation term,
چکیده مقاله :
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.
