Application of Chebyshev polynomial basis function on the solution of Volterra integro-differential equations using Galerkin method

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 method available in the literature.

Keywords:

Galerkin method , Chebyshev polynomial basis function , Volterra integro-differential equations