College of Computer Science and Mathematics

A discussion was held in the discussion room at the Faculty of Computer Science and Mathematics at the University of Mosul on Wednesday 10/8/2022
Master’s thesis tagged:
“Convergence of Numerical Solutions for Burger`s Equations in Two Dimensional”
For the student, Nazik Jamal Ahmed Elias, and under the supervision of the assistant professor, Dr. Abdel Ghafour Mohamed Amin Khader.
The thesis dealt with the use of hybrid numerical methods to find approximate numerical solutions that are very close to the exact solution and with the lowest possible error rate, where the Sumodo transformation was combined with the Idomain decomposition method to be the SAM hybrid method for solving systems of two-dimensional Burger equations and also for solving the same equation when its time derivative is a fractional.
The thesis dealt with the collection of differential transformation with finite differences to be the DTFDM hybrid method for solving two-dimensional systems of Burger equations.
The thesis aims to obtain accurate numerical results close to the exact solutions by making use of the power, efficiency and accuracy of the methods to obtain accurate and close results to the exact solution using the Maple program to show the results of several iterations.
The discussion committee consisted of:
Mr. Dr. Burhan Fakhruddin Juma/University of Kirkuk/College of Computer Science and Mathematics – Chair
Assi. Prof. Dr. Ikhlas Saadallah Ahmed – Member
Assi. Prof. Dr. Ahmed Farouk Qassem – Member
Assi. Prof. Dr. Abdel Ghafour Mohamed Amin Khader – Member and Supervisor