College of Education for Pure Science

A master’s thesis entitled “Improving the Results of the Analytical Homotopy Method Using the Runge-Kutta Algorithm for Solving Linear and Nonlinear Ordinary Differential Equations of Fractional Orders and Fractional Partial Differential Equations” was discussed at the College of Education for Pure Science at the University of Mosul on Sunday, May 11, 2025.
Part of the thesis discussion was attended by the Dean of the College, Assistant Professor Dr. Jassim Fatehi Ali, the Assistant Dean for Academic Affairs, Professor Dr. Yasser Yahya Qasim, and a number of the department faculty members. The study, presented by the student (Shawan Salo Abdal) from the Department of Mathematics, presented the Runge-Kutta algorithm (HAM-OBE) to improve the results of the Homotopy method (HAM) for solving linear and nonlinear ordinary differential equations with fractional orders and partial differential equations with fractional orders. The Homotopy method was used to solve linear and nonlinear ordinary differential equations and partial differential equations with fractional orders with the Runge-Kutta algorithm (HAM-OBE) to obtain an approximate solution that is very close to the exact solution and more accurate than the Homotopy method and the flock of birds algorithm (HAM-PSO), which works to obtain the best value for the parameter h and substitute it in the final series of the approximate solution of the Homotopy method to reach a solution close to the exact solution. The discussion committee was chaired by Professor Dr. Khalil Khidr Abbu, with Assistant Professor Dr. Hisham Muhammad Khidr and Assistant Professor Dr. Azzam Salahuddin Younis as members, and Professor Dr. Qais Ismail Ibrahim as both a member and supervisor.

The Dean of the College presented a letter of thanks and appreciation to Professor Dr. Khalil Khidr Abbu from the College of Basic Education, University of Tal Afar, for chairing the discussion committee.

The master’s thesis was accepted. Congratulations to the student and his supervisor on this academic achievement.

Division of Media and Government Communication
College of Education for Pure Science
Sunday, May 11, 2025