A modified approach to numerical solution of Fredholm integral equations of the second kind

Abstract

A modified approach to obtain approximate numerical solutions of Fredholm integral equations of the second kind is presented. The error bound is explained by the aid of several illustrative examples. In each example, the approximate solution is compared with the exact solution, wherever possible, and an excellent agreement is observed. In addition, the error bound in each example is compared with the one obtained by the Nyström method. It is found that the error bound of the present method is smaller than the ones obtained by the Nyström method. Further, the present method is successfully applied to derive the solution of an integral equation arising in a special Dirichlet problem.