Wavelet Galerkin method for numerical solution of nonlinear integral equation

In this paper, the continues Legendre wavelets constructed on the interval [0, 1] are used to solve the nonlinear Volterra and Fredholm integral equation of the second kind. The nonlinear part of the integral equation is approximated by Legendre wavelets, and the nonlinear integral equation is reduced to a system of nonlinear equations. Numerical examples illustrates the pertinent features of the method. (c) 2004 Elsevier Inc. All rights reserved.