Numerical Solution of Fredholm Integral Equations of Second Kind using Haar Wavelets

Abstract: Integral equations have been one of the most important tools in several areas of science and engineering. In this paper, we use Haar wavelet method for the numerical solution of one-dimensional and two-dimensional Fredholm integral equations of second kind. The basic idea of Haar wavelet collocation method is to convert the integral equation into a system of algebraic equations that involves a finite number of variables. The numerical results are compared with the exact solution to prove the accuracy of the Haar wavelet method.