College of Computer Science and Mathematics

Discussion of a master’s thesis in the College of Computer Science and Mathematics – Department of Mathematics Sciences entitled:

(Solving Integral Equations Using the Modified Adomian Decomposition Method With Bee Algorithm )

In continuation of the scientific research movement and with the follow-up and presence of the Dean of the College of Computer Science and Mathematics

   Prof. Dr. Duha Bashir Abdullah The esteemed

It was discussed in the discussion room at the Faculty of Computer Science and Mathematics at the University of Mosul on Wednesday 1-11 – 2023

Master’s thesis by student  Noor Bassam Taha Ali

under the Professor Dr. Ahmed Entesar  Ghatheeth

In this thesis, the proposed method (MADM-ABC) was used to solve the Volterra and Fredholm integration equations, where the Modified Adomian Method (MADM) was hybridized with the Bee Colony Algorithm (ABC) by relying on the final series resulting from the Adomian Method The Modified (MADM) , which will represent the fitness function of the bee algorithm (ABC), where the algorithm works to find the best value for the parameter λ , the proposed method (MADM-ABC) works on the convergence of the results from the Exact Solution, and the reliability and efficiency of the proposed method (MADM- ABC) by calculating the maximum value of error (MAE) and the average square error (MSE) and graphs. Software techniques have also been used in this thesis to solve applied examples through Maple and MATLAB programs.

The scientific committee included the following members :

Prof. Dr Eklas Saad allah Ahmed   – Chairman

Assistant Prof. Dr. Walled  Mohmed Fathy – Member

Assistant Prof. Dr.  Azam Salahaldeen Yonis – Member

Assistant Prof. Dr. Ahmed Entesar Ghatheeth –   member and supervisor