Error Estimate in the Iterative Numerical Method for Two-Dimensional Nonlinear Hammerstein-Fredholm Fuzzy Functional Integral Equations

摘要

In this paper, we prove the convergence of the method of successive approximations used to approximate the solution of two-dimensional nonlinear Hammerstein-Fredholm fuzzy functional integral equations. We present an iterative procedure based on quadrature rectangles to solve such equations. The error estimation of the proposed method is given in terms of uniform and partial modulus of continuity. Finally, an illustrative numerical experiment confirms the theoretical results and demonstrates the accuracy of the method.