Open AccessSolving Fuzzy System of Volterra Integro-differential Equations by using Adomian Decomposition Method
Author(s) -
Mahasin Thabet Younis,
Waleed Al-Hayani
Publication year - 2022
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v15i1.4087
Subject(s) - adomian decomposition method , mathematics , decomposition method (queueing theory) , volterra integral equation , fuzzy logic , volterra equations , differential equation , decomposition , trapezoidal rule , mathematical analysis , integral equation , nonlinear system , numerical integration , discrete mathematics , computer science , ecology , physics , quantum mechanics , artificial intelligence , biology
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.