Nonlinear Dynamics and Stability in a Cournot Duopoly Model with Cobb–Douglas Technology and Quadratic Costs.
New Student
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Supervising Master Students at BZU – Thesis Approach Math 860
Master Thesis Supervision
The following master theses were supervised within the Mathematics Master's Program at Birzeit University as part of the Thesis Approach (Math 860). The research covers a wide range of topics including game theory, optimization, stochastic differential equations, mathematical finance, nonlinear systems, social welfare models, and applied mathematics. Several of these theses were successfully defended, while others are currently in progress.
Comparison of numerical methods to estimate the roots of a nonlinear and twice differentiable functions.
New Student
Optimal welfare strategies vs Nash Equilibrium strategies in a pseudo-game with homogeneous players.
Thesis defended successfully 31 Jul 2024
Optimal welfare strategies for a two-wage earners within a market of life-insurance and welfare providers.
Thesis defended successfully 22 May 2023
Generalized game theoretical model with multiple types of homogeneous players.
Thesis defended successfully 17 Oct 2022
General framework for managing the optimal strategies for an economic agent with uncertain lifetime.
Thesis defended successfully 01 Feb 2022
Optimal strategies for a wage-earner under controllability of consumption, investment, insurance and social welfare rates.
Thesis defended successfully 25 Jan 2022
Characterizing the Geometry of Envy Human Behavior Using Game Theory Model with Two Types of Homogeneous Players.
Thesis defended successfully 11 Aug 2020
Optimal strategies for an economic agent in a continuous time model within social security system.
Thesis defended successfully 25 Jul 2018
A discrete game theoretical Model (Pure and Mixed Nash Equilibria Domain of a Discrete Game Model with Dichotomous Strategy Space).
Thesis defended successfully 11 Jun 2018
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Supervising Master Students at BZU – Seminar Approach Math 830
Master Seminar Supervision
The following graduate students completed seminar projects under the Seminar Approach (Math 830) within the Master's Program in Mathematics at Birzeit University. These seminars provided students with opportunities to explore advanced mathematical topics, develop research skills, and present their work in an academic environment.
Seminar supervision
New Student
Seminar supervision
First Semester 2025/2026
Seminar supervision
First Semester 2025/2026
Seminar supervision
First Semester 2023/2024
Seminar supervision
Second Semester 2022/2023
Seminar supervision
Second Semester 2017/2018
Seminar supervision
Second Semester 2017/2018
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Member of Discussion Committee for Master Thesis
Master Thesis Examination Committees
In addition to supervising graduate research, Dr. Abdelrahim Mousa has served as a member of several Master's thesis discussion committees at Birzeit University, Arab American University, and An-Najah National University, contributing to the evaluation of research in applied mathematics, computational mathematics, optimization, and differential equations.
A Modified Simpson Discretization Method for Solving Linear and Nonlinear Fredholm Integral Equations of the Second Kind.
13 Jul 2026
A Class of Spline Functions for Solving Second-Order Linear Differential Equations with Initial Conditions.
26 May 2026
Numerical Simulation for Computing the Number of Limit Cycles of Generalized Abel Equation.
02 Feb 2021
Dynamics and Stability of Some Systems of Difference Equations.
25 Jun 2019
Symmetry methods for solving some difference equations.
24 Apr 2018
Billiards in polygons.
06 Feb 2017
The domain decomposition method for solving partial differential equations.
18 Jan 2017
An inverse problem in convex optimization.
20 Aug 2016