Analytical-Numerical Solution for Nonlinear Integral Equations of Hammerstein Type

Using the mean-value theorem for integrals we tried to solved the nonlinear integral equations of Hammerstein type . The mean approach is to obtain an initial guess with unknown coeffi cients for unknown function y(x). The procedure of this method is so fast and don t need high cpu and complicated programming. The advantages of this method is that we can applied for those integral equations which have not the unique solution too.