Application of Hybrid Bernstein Polynomials and Block-Pulse Functions for Solving Nonlinear Fuzzy Fredholm Integral Equations

被引：0

作者：

Baghmisheh, Mahdi ^{[1
]}

Ezzati, Reza ^{[2
]}

机构：

[1] Islamic Azad Univ, Dept Math, Tabriz Branch, Tabriz 5157944533, Iran

[2] Islamic Azad Univ, Dept Math, Karaj Branch, Karaj 3149968111, Iran

来源：

FUZZY INFORMATION AND ENGINEERING | 2023年 / 15卷 / 01期

关键词：

fuzzy function; nonlinear fuzzy integral equations; iterative procedure; hybrid function; Bernstein polynomials; block -pulse functions; NUMERICAL-SOLUTION; ERROR ESTIMATION; EXISTENCE; UNIQUENESS;

D O I：

10.26599/FIE.2023.9270006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, hybrid Bernstein polynomials and block-pulse functions based on the method of successive approximations are applied to obtain the approximate solution of nonlinear fuzzy Fredholm integral equations. The main idea of using the proposed method is that fuzzy integral in any iterative process will be reduced to the crisp integration. Some results concerning the error estimate and stability of the numerical method are presented. Numerical examples are introduced to illustrate the effectiveness and simplicity of the present method.

引用

页码：69 / 86

页数：18

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