On Some Numerical Methods for Solving Fredholm Integral Equations with Continuous Kernel

Abstract

Fredholm integral equations with continues kernels arise for instance in the boundary integral equations either directly or as a result of treating different kinds of singular kernels using some regularization techniques. Here, we show a comparison of the convergence of two well-known numerical methods for solving integral equations. These methods are the collocation method and the Galerkin method. An illustrated examples for second kind Fredholm integral equations of continuous kernel show that the collocation method seems to converge faster than the Galerkin method.