New error estimation based on midpoint iterative method for solving nonlinear fuzzy Fredholm integral equations

Abstract

In this paper, firrst, we introduce successive approximations method in terms
of midpoint quadrature formula, which used to solve nonlinear fuzzy Fredholm
integral equations of the second kind (NFFIE-2). Moreover, the convergence of
the proposed method is given. We study the numerical stability of the proposed
method with respect to the firrst iteration choice. eventually, to demonstrate
the accuracy of the suggested method,we presented two numerical examples.