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

Publish Year: 1397
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_IJFS-15-1_004

تاریخ نمایه سازی: 18 خرداد 1401

Abstract:

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

Keywords:

Two dimensional nonlinear fuzzy Fredholm integral equations of the second kind , Two dimensional fuzzy block-pulse functions , Supplementary Lipschitz condition

Authors

Shokrollah Ziari

Department of Mathematics, Firoozkooh Branch, Islamic Azad University, Firoozkooh, Iran

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