4 February، 2024
A master’s thesis student Huthaifa Haitham Ahmed
Discussion of a master’s thesis in the College of Computer Science and Mathematics – Department of Mathematics Sciences entitled:
“ Numerical Solution of The Kuramoto-Sivashinsky Equation Using Wavelet Methods“
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 Sunday 4-2-2024
Master’s thesis by student Huthaifa Haitham Ahmed , under
the supervision of Professor Dr. Ekhlass Saadallah Ahmed.
This thesis is concerned with applying and improving wavelet methods in solving high-order nonlinear partial differential equations, where the fourth-order nonlinear Kuramoto-Sivashinsky equation was addressed.
The convergence analysis of the wavelet series in the function representation was studied, and the approximate error in the space of the new wavelet series that was derived by proving the convergence theorems for that wavelet.
The scientific committee included the following members :
- Assistant Professor Dr. Walled Mohmed Fathy – Chairman
- Assistant Professor Dr. Abdulghafor M. Al-Rozbayani – Member.
- Assistant Professor Dr. Badran Jassim Salem – Member .
- Professor Dr. Ekhlass Saadallah Ahmed – Member and supervisor .