Abstrcta
In this thesis, we were study the Fuzzy Integro-Differential Equations of the second kind, also the existence and unique of these equations are discussed by using Banach fixed point theory and some sufficient conditions and some numerical methods for solving it.
Our work is including two numerical methods to solve Fuzzy Integro-Differential Equations. The first method was the extending of Euler method by using control parameters and the second method, contains the extending of cubic spline method (Exponential spline) method is used for this. The two methods were applied to find the best solutions of proposed equations.
Finally, to demonstrate the effectiveness of our proposed methods and through the results based on the absolute error, the proposed methods gave results with high performance and accuracy. Tables and graphical Figures represent these results. Also, we would like to refer that all numerical examples in this thesis were implemented in MATLAB R2020a.
