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 The Drinfeld-Sokolov-Wilson System Using The Banach Contraction Method With Particle SwarmOptimizationIn continuation of the scientific research movement and with the follow-up and presence of the Dean of the College of Computer Science and MathematicsProf. Dr. Duha Bashir Abdullah The esteemedIt was discussed in the discussion room at the Faculty of Computer Science and Mathematics at the University of Mosul on Wednesday 2/11/2022Master’s thesis by student Amena Raslan Yehya , under the supervision of Assistant Professor Dr. Ahmed Entesar Ghitheeth. In this thesis, the proposed method (BCM-PSO) was used to solve the Drunfield-Skolov-Wilson system (DSW), where the Banach contraction analysis (BCM) method was hybridized with the particle swarm optimization algorithm (PSOA) by relying on the final series resulting from Banach contraction method (BCM), which will represent a fitness function of the particle swarm optimization algorithm (PSOA), where the algorithm works to find the best values for the parameters (p, q,r,s) of the system (DSW) from the set of possible solutions by creating an initial population It consists of several individuals and each individual consists of several random values determined by the size of the parameters. By applying the particle swarm optimization algorithm (PSOA), we find the rest of the communities that have the best values for the parameters. This proposed method (BCM-PSO) works to approximate the results from the exact solution, The reliability and efficiency of the proposed method (BCM-PSO) has been proven by calculating the maximum value of the error (MAE) and the mean square error (MSE) and graphs how much programming techniques were used in this thesis to solve the applied examples in this thesis through the programs Maple and MATLAB.1-Prof. Dr. Ekhlass Saadallah Ahmed Al-Rawi / Chief2- Associate Dr.Waleed Mohammed Fathi Al-Hayani / Member3-Associate Prof. Dr. Firas Adel Fawzi / Member4- Professor Dr. Ahmed Entesar Ghitheeth / Advisor and Member