Numerical solution of two dimensional nonlinear fuzzy Fredholm integral equations of second kind using hybrid of block-pulse functions and Bernstein polynomial

Abstract

In this paper, first, we introduce method of successive approximations in terms of
a hybrid of Bernstein polynomial and a block-pulse function, which is given for solving two dimensional nonlinear fuzzy Fredholm integral equations of the second kind. Then, we present the convergence of the proposed method. Also we investigate the numerical stability of the proposed method with respect to the choice of the rst iteration. Finally, two numerical examples are presented to show the accuracy of the proposed method.