Title of article :
Application of Chebyshev polynomial basis function on the solution of Volterra integro-differential equations using Galerkin method
Author/Authors :
Adebisi ، Ajimot Folasade Department of Mathematical Sciences - Osun State University , Ojurongbe ، Taiwo Adetola Department of Mathematical Sciences - Osun State University , Okunlola ، Kazeem Adekunle Department of Mathematical Sciences - Osun State University , Peter ، Olumuyiwa James Department of Mathematics - University of Ilorin
Abstract :
In this paper, the Galerkin Method (GM) is employed for finding the solution of Volterra integro-differential equations with the aid of Chebyshev polynomial basis function. Some examples are presented to demonstrate the effectiveness of the method and its reliability. The approximate solutions are in agreement with the exact solutions and are compared favorably with an existing methods available in the literature.
Keywords :
Galerkin method , Chebyshev polynomial basis function , Volterra integro , differential equations
Journal title :
Mathematics and Computational Sciences
Journal title :
Mathematics and Computational Sciences
