The College of Education for Pure Sciences, Department of Mathematics, organized a scientific lecture on applying and improving an approximation method for dynamic systems

The lecture presented by researcher Rania Odeh Hani included:
Proposing a new method and applying it to find approximate analytical solutions for various dynamical systems, including prey and predator dynamical systems. The proposed method is based on combining the Shehu transformation and the Akbari-Ganji method with the Padé approximation.
Furthermore, a custom mathematical model was developed to represent the condition of type 1 diabetes with the aim of studying the effect of treatment (CID661578) on this condition. The results indicated a positive effect of the studied treatment on patients with type 1 diabetes. Also, it was observed that there is good agreement between the results obtained from the solutions of the current model and the results of previous studies, which confirms the accuracy and reliability of the proposed method. In addition, the stability was analyzed for a different set of values of the parameters to test their influence on the stability of the solutions of the dynamic systems under the current study.
The results obtained using this method to solve these problems were compared with standard methods: the Akbari-Janji method and other methods.
The graphs and tables of the new approximate solutions demonstrate the validity, usefulness and importance of the proposed approach. The results also indicate clear improvements in accuracy and convergence.