NUMERICAL SOLUTIONS OF INTEGRAL EQUATION OVER ANY INTERVAL (A,B) BY USING GALERKIN METHOD

The aim of this paper is to apply the Galerkin method with Hermite polynomials and Jacobi polynomials to solve the integral equation of the second kind with degenerate kernel. We compare the exact solution with an approximate solution obtained by the Galerkin method on numerical examples. A numerical example using Matlab illustrate this. Graphical comparison between the exact solution and the approximate solution is carried out.The results show that the Galerkin method with Hermite polynomials and Jacobi polynomials is ecient and can be to applied to other problems.