Ziari, S. (2018). ITERATIVE METHOD FOR SOLVING TWO-DIMENSIONAL NONLINEAR FUZZY INTEGRAL EQUATIONS USING FUZZY BIVARIATE BLOCK-PULSE FUNCTIONS WITH ERROR ESTIMATION. Iranian Journal of Fuzzy Systems, 15(1), 55-76. doi: 10.22111/ijfs.2018.3578

Shokrollah Ziari. "ITERATIVE METHOD FOR SOLVING TWO-DIMENSIONAL NONLINEAR FUZZY INTEGRAL EQUATIONS USING FUZZY BIVARIATE BLOCK-PULSE FUNCTIONS WITH ERROR ESTIMATION". Iranian Journal of Fuzzy Systems, 15, 1, 2018, 55-76. doi: 10.22111/ijfs.2018.3578

Ziari, S. (2018). 'ITERATIVE METHOD FOR SOLVING TWO-DIMENSIONAL NONLINEAR FUZZY INTEGRAL EQUATIONS USING FUZZY BIVARIATE BLOCK-PULSE FUNCTIONS WITH ERROR ESTIMATION', Iranian Journal of Fuzzy Systems, 15(1), pp. 55-76. doi: 10.22111/ijfs.2018.3578

Ziari, S. ITERATIVE METHOD FOR SOLVING TWO-DIMENSIONAL NONLINEAR FUZZY INTEGRAL EQUATIONS USING FUZZY BIVARIATE BLOCK-PULSE FUNCTIONS WITH ERROR ESTIMATION. Iranian Journal of Fuzzy Systems, 2018; 15(1): 55-76. doi: 10.22111/ijfs.2018.3578

ITERATIVE METHOD FOR SOLVING TWO-DIMENSIONAL NONLINEAR FUZZY INTEGRAL EQUATIONS USING FUZZY BIVARIATE BLOCK-PULSE FUNCTIONS WITH ERROR ESTIMATION

^{}Department of Mathematics, Firoozkooh Branch, Islamic Azad University, Firoozkooh, Iran

Abstract

In this paper, we propose an iterative procedure based on two dimensional fuzzy block-pulse functions for solving nonlinear fuzzy Fredholm integral equations of the second kind. The error estimation and numerical stability of the proposed method are given in terms of supplementary Lipschitz condition. Finally, illustrative examples are included in order to demonstrate the accuracy and convergence of the proposed method.

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