New error estimate in the iterative numerical method for nonlinear fuzzy Hammerstein-Fredholm integral equations

Ziari Shokrollah; Bica Alexandru Mihai

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New error estimate in the iterative numerical method for nonlinear fuzzy Hammerstein-Fredholm integral equations

机译：非线性模糊Hammerstein-Fredholm积分方程的迭代数值方法中的新误差估计

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摘要

In this paper, we obtain the error estimation of the iterative method based on quadrature formula to solve nonlinear fuzzy Fredholm integral equations of the second kind given in Fuzzy Sets & Syst. 245 (2014) 1-17, in terms of uniform and partial modulus of continuity. Moreover, we extend in the context of using the modulus of continuity, the notion of numerical stability of the solution with respect to the first iteration. (C) 2015 Elsevier B.V. All rights reserved.

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来源
《Fuzzy sets and systems》 |2016年第15期|136-152|共17页
作者
Ziari Shokrollah; Bica Alexandru Mihai;
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作者单位

Islamic Azad Univ, Dept Math, Firoozkooh Branch, Firoozkooh, Iran;

Univ Oradea, Dept Math & Informat, Univ St 1, Oradea 410087, Romania;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Nonlinear fuzzy Hammerstein-Fredholm integral equations; Iterative numerical method; Uniform modulus of continuity; Partial modulus of continuity;

机译：非线性模糊Hammerstein-Fredholm积分方程;迭代数值方法;一致连续模量;局部连续模量;

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专利

1. Towards the accuracy of iterative numerical methods for fuzzy Hammerstein-Fredholm integral equations [J] . Ziari Shokrollah Fuzzy sets and systems . 2019,第Nova15期

机译：模糊Hammerstein-Fredholm积分方程的迭代数值方法的精度
2. Towards the accuracy of iterative numerical methods for fuzzy Hammerstein-Fredholm integral equations [J] . Ziari Shokrollah Fuzzy sets and systems . 2019,第NOVa15期

机译：模糊Hammerstein-Fredholm积分方程的迭代数值方法的精度
3. Numerical solution of two-dimensional nonlinear fuzzy delay integral equations via iterative method and trapezoidal quadrature rule [J] . Hajar Nouriani, Reza Ezzati, Atiyeh Mashhadi Gholam Granular Computing . 2021,第4期

机译：二维非线性模糊延迟积分方程的数值解，迭代方法和梯形正交规则
4. Error Estimate in the Iterative Numerical Method for Two-Dimensional Nonlinear Hammerstein-Fredholm Fuzzy Functional Integral Equations [C] . Atanaska Georgieva, Albena Pavlova, Iva Naydenova Annual meeting of the Bulgarian section of SIAM . 2018

机译：二维非线性Hammerstein-Fredholm模糊功能整体方程迭代数值方法的误差估计
5. THE NUMERICAL SOLUTION OF LINEAR FIRST KIND FREDHOLM INTEGRAL EQUATIONS USING AN ITERATIVE METHOD [D] . SCHMIDT, ROBERT CRAIG 1987

机译：线性一类Fredholm积分方程的迭代法数值解
6. Homotopy perturbation method: a versatile tool to evaluate linear and nonlinear fuzzy Volterra integral equations of the second kind [O] . S. Narayanamoorthy, S. P. Sathiyapriya -1

机译：同伦摄动法：一种评估第二种线性和非线性模糊Volterra积分方程的多功能工具
7. Numerical method for solving two-dimensional nonlinear Hammerstein-Fredholm fuzzy functional integral equations [O] . Atanaska Georgieva, Iva Naydenova 2021

机译：求解二维非线性Hammerstein-Fredholm模糊功能整体方程的数值方法

New error estimate in the iterative numerical method for nonlinear fuzzy Hammerstein-Fredholm integral equations

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