Numerical Solution to a Functional Integral Equations Using the Legendre-spectral Method

In this paper, an application of Legendre-spectral method is applied to solve functional integral equations. The Legendre Gauss points are used as collocation nodes and Lagrange scheme is employed to interpolate the quantities needed. Using this approach a generalized functional integral equation both linear and nonlinear could be considered. The method is appropriate and so easy adaption for this class of integral equations. The results revealing that method is very effective, simple and accurate