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

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ZIARI S.

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Journal: Iranian Journal of Fuzzy Systems Year:2018 | Volume:18 | Issue:1 Page(s): 55-76

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Information Journal Paper

Title

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

Author(s)

ZIARI S. | Issue Writer Certificate

Keywords

TWO DIMENSIONAL NONLINEAR FUZZY FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KINDQ2

TWO DIMENSIONAL FUZZY BLOCK-PULSE FUNCTIONSQ2

SUPPLEMENTARY LIPSCHITZ CONDITIONQ2

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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APA: Copy

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, 18(1 ), 55-76. SID. https://sid.ir/paper/113292/en

Vancouver: Copy

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[Internet]. 2018;18(1 ):55-76. Available from: https://sid.ir/paper/113292/en

IEEE: Copy

S. 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, vol. 18, no. 1 , pp. 55–76, 2018, [Online]. Available: https://sid.ir/paper/113292/en

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