Sinc approximation for numerical solutions of two-dimensional nonlinear Fredholm integral equations

Abstract

A new efficient iterative method of successive approximations based on the
fixed point method and sinc quadrature is proposed for two-dimensional nonlinear Fredholm integral equations of the second kind (2DNFIEs). We have given the convergence
and error analysis of the suggested method. Besides, the numerical stability of the method concerning the choice of the rst iteration is veried.