Solution of a System of Linear Fredholm Integral Equations of the Second Kind by Iteration Methods


In this paper, we consider the linear system of Fredholm integral equation of the second kind. Three methods are used to solve this system, successive approximation method, Aitken's method depending on successive approximation method and a new procedure which is Aitken's method depending on Adomian decomposition method. A comparison between approximate and exact results for two numerical examples depending on the least-square error, are given to show the accuracy of the results obtained by using these methods.