Discussion of a doctoral thesis in the College of Computer Science and Mathematics - Department of Mathematics
Discussion of a doctoral thesis in the College of Computer Science and Mathematics - Department of Mathematics with the title:
Study perturbation theory and Methods for Some Differential Equations with stability analysis
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 respected
It was discussed in the discussion room at the Faculty of Computer Science and Mathematics at the University of Mosul on Thursday 6/9/2022
Doctoral thesis by student Safaa Ali Salem Hussein, under the supervision of Assistant Professor Dr. Thaer Younis Thanoun.
The study dealt with the use of the theory and methods of noise in solving some differential equations, including: Ordinary differential equations, Riccati equation and Bratu equation by affecting them by the noise parameter ε in addition to analyzing their stability.
The study dealt with the application of a number of obfuscation methods to demonstrate the efficiency and effectiveness of these methods in obtaining close results from an accurate solution.
The study aims to solve different types of differential equations, and then make a comparison between the approximate solution resulting from the application of obfuscation methods, and the exact solution using the Maple program, and clarifying the results through tables and graphics. In addition to analyzing the stability of some fuzzy differential equations using direct Lyapunov method, proving that the fuzzy differential equation is local asymptotic stability by using noise techniques.
The discussion committee was chaired by Prof. Dr. Ahmed Mawloud Abdulhadi/ University of Baghdad/ College of Science, and the membership of:
Prof. Dr. Akram Hassan Mahmoud / University of Mosul / College of Education for Pure Sciences.
And Professor Dr. Maysoon Mal Allah Aziz / University of Mosul / College of Computer Science and Mathematics.
And Professor Dr. Raad Awad Hamid / University of Tikrit / College of Education for Pure Sciences.
And Assistant Professor Dr. Saad Fawzi Jassim / University of Mosul / College of Computer Science and Mathematics.
With the membership and supervision of Assistant Professor Dr. Thaer Younis Thanoun.