ANALYTICAL-NUMERICAL SOLUTION FOR NONLINEAR INTEGRAL EQUATIONS OF HAMMERSTEIN TYPE

Subject Areas : International Journal of Mathematical Modelling & Computations

J. Rashidinia ¹ , A. Parsa ²

1 - Iran University of Science and Technology, Narmak, Tehran, Iran Iran, Islamic Republic of School of Mathematics
2 - Iran University of Science and Technology, Narmak, Tehran, Iran Iran, Islamic Republic of School of Mathematics

Received: 2016-04-14 Accepted : 2016-04-14 Published : 2012-12-21

Keywords: Nonlinear integral equations Hammerstein equations mean value,

Abstract :

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 don't need high cpu and complicated programming. The advantages of this method are that we can applied for those integral equations which have not the unique solution too.