Title of article :
Shifted Chebyshev Approach for the Solution of Delay Fredholm and Volterra Integro-Differential Equations via Perturbed Galerkin Method
Author/Authors :
Issa, Kazeem Department of Statistics and Mathematical Sciences - Kwara State University, Malete, Nigeria , Biazar, Jafar Department of Mathematical Sciences - University of Guilan, Rasht, Iran , Yisa, Babatunde Morufu Department of Mathematics - University of Ilorin, Ilorin Nigeria
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.
Farsi abstract :
فاقد چكيده فارسي
Keywords :
Delay Fredholm , Delay Volterra integro-differential equations , Perturbed Galerkin method , Shifted Chebyshev polynomials , Perturbation term
Journal title :
IJO: Iranian Journal of Optimization