Abstract
In this paper, we consider a new class of fuzzy functions called Fuzzy Integro- Differential Equations.Some numerical methods, such as Euler, have been used to determine the solutions of these equations. We extendthese numerical techniques to find the optimal solutions by using control parameters, the extended difference Eulertechnique is used for this. Based on the parametric form of the fuzzy number, the Integro- Differential Equation isdivided into two systems of the second kind. Illustrative examples are given to demonstrate the high precision andgood performance of the new class. Graphical representations reveal the symmetry between lower and upper-cutrepresent of fuzzy solutions and may be helpful for a better understanding of fuzzy models in artificial intelligenceand medical science. The results show that the extended Euler method is more accurate in terms of absolute error
Recommended Citation
Dawood, Fatima K. and Khaji, Rokan
(2023)
"Numerical Approach for Solving fuzzy Integro-DifferentialEquations,"
Iraqi Journal for Computer Science and Mathematics: Vol. 4:
Iss.
3, Article 9.
DOI: https://doi.org/10.52866/ijcsm.2023.02.03.009
Available at:
https://ijcsm.researchcommons.org/ijcsm/vol4/iss3/9
