26 August، 2024

Master’s thesis by student   S.N. Sadoon Haji Osif

Discussion of a master’s thesis in the College of Computer Science and Mathematics – Department of Mathematics Sciences entitled:

New Approximate Solutions for Systems of Nonlinear Differential Equations Using Temimi-Ansari method

 

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 Monday   26 -8-2024

Master’s thesis by student   S.N. Sadoon Haji Osif, under the supervision of  Asst.Prof.Dr. Ahmed Entesar Githeeth

In this thesis, the Homogeneous Balance Method, an analytical technique, was utilized to find several exact solutions for two virus-spreading systems: SEIR and SLBR, which describe the spread and interaction of computer viruses. Additionally, the Tamimi-Ansari Method (TAM), an approximate method, was employed to find the approximate solutions for these systems. The SEIR and SLBR systems were solved using the Tamimi-Ansari Method based on the exact solutions obtained from the Homogeneous Balance Method to compare the approximate results with the exact ones, testing the efficiency of the approximation. Several iterations were performed up to  n=2 , yielding satisfactory results.

The scientific committee included the following members:

  • Prof. Akhlas Saadallah AhmedChairman

2- Assist. Prof. Dr. Waled Mohamed Fathi – Member.

3- Assist. Prof. Dr. Abdul Ghafour Mohamed Amen – Member .

 

  4- Prof. Dr. Ahmed Entesar Githeeth – Member and supervisor.

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