29 August، 2024
Doctorial Dissertation by student Israa Thanoon Younis Yahya
Discussion of a Doctoral Dissertation in the College of Computer Science and Mathematics – Department of Mathematics Sciences entitled:
“ Improve Numerical Methods for Solving Coupled Systems of Nonlinear Partial Differential Equations“
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 Thursday 29-8-2024
Doctorial Dissertation by student Israa Thanoon Younis Yahya
, under the supervision of Prof. Dr. Ekhlass Saadallah Ahmed Muhammed (Supervisor)
The goal of this thesis is to improve the numerical solutions for coupled systems of nonlinear partial differential equations based on the explicit, Crank-Nicholson, and implicit and the exponential finite difference method, where they were applied to the general formula for coupled systems of nonlinear partial differential equations. The problem of exogenous points that appears in the presence of higher- level derivative was addressed with writing an algorithm for each method. The proposed method of the methods was applied in solving two different examples. The matrix equation for the Drinfeld’s-Sokolov-Wilson (DSW) system was also derived using the implicit finite difference method. The convergence of the solution to the resulting matrix equation was also proven analytically.
The scientific committee included the following members:
- Dr. Borhan F. Jumaa – Chairman.
- Dr. Qais Ismail Ibraheem – Member.
- Prof. Dr. Abdulghafor – Member.
- Prof. Dr. Ahmed Farooq Qasim – Member
- Prof. Dr. Badran Jasim Salim- Member.
- Dr. Ekhlass Saadallah Ahmed – Member and Supervisor.
