Towards the accuracy of iterative numerical methods for fuzzy Hammerstein-Fredholm integral equations

摘要

An iterative numerical method based on the three-point quadrature formula is applied to solve nonlinear fuzzy Hammerstein- Fredholm integral equations of the second kind and provides more accurate results than the trapezoidal quadrature iterative method. Also, we obtain the error estimation of the iterative method in terms of the uniform and partial modulus of continuity. Moreover, we investigate the concept of numerical stability of the iterative method with respect to the choice of the initial approximation. Illustrative examples are included to demonstrate the accuracy and efficiency of the iterative method. (C) 2018 Elsevier B.V. All rights reserved.