On the numerical scheme for solving non-linear two-dimensional Hammerstein integral equations

In this work, solving non-linear two-dimensional Hammerstein integral equations is considered by an iterative method of successive approximation. This method is an efficient approach based on a combination of the quadrature formula and the successive approximations method. Also, the convergence analysis and the numerical stability of the suggested method are studied. Finally, to survey the accuracy of the present method, some numerical experiments are given.

Keywords:

fixed point theorem , Hammerstein integral equations , Quadrature formula , Iterative method