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 coefficients for unknown function y(x). The procedure of this method is so fast and donʹt 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.