NUMERICAL SOLUTIONS OF INTEGRAL EQUATION OVER ANY INTERVAL (A,B) BY USING GALERKIN METHOD
BENDEHIBA MENAD *
Laboratory of Mathematics and its Applications (LAMAP), University of Oran 1 Ahmed Ben Bella, P.O. Box 1524, Oran 31000, Algeria
KACEM BELGHABA
Laboratory of Mathematics and its Applications (LAMAP), University of Oran 1 Ahmed Ben Bella, P.O. Box 1524, Oran 31000, Algeria
MOHAMED ELARBI BENATTIA
Laboratory of Mathematics and its Applications (LAMAP), University of Oran 1 Ahmed Ben Bella, P.O. Box 1524, Oran 31000, Algeria
*Author to whom correspondence should be addressed.
Abstract
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.
Keywords: Integral equations, galerkin method, hermite polynomial, jacobi polynomial, approximate solution