Solving fuzzy system of Volterra integro-differential equations by using Adomian decomposition method

被引：6

作者：

Younis, Mahasin Thabet ^{[1
]}

Al-Hayani, Waleed ^{[1
]}

机构：

[1] Univ Mosul, Coll Comp Sci & Math, Dept Math, Mosul, Iraq

来源：

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2022年 / 15卷 / 01期

关键词：

Fyzzy numbers; Fuzzy Systems of Volterra integro-differential equations; Adomian decomposition method; Modified technique; Adomian polynomials; INTEGRAL-EQUATIONS;

D O I：

10.29020/nybg.ejpam.v15i1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the Adomian decomposition method and Modified Technique are successfully applied to find the approximate solutions of the fuzzy system of Volterra integro-differential equations. The approximate solutions obtained have been improved by using the iteration of the integral equation and the numerical solution with the Simpson rule and Trapezoidal rule. These proposed methods gave excellent results close to the exact solution. The results show that the present method is very straightforward and effective.

引用

页码：290 / 313

页数：24

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