The College of Education for Pure Sciences, Department of Mathematics, organized a scientific lecture entitled
(The method of the dual Shiho transform-reduced differential transform for the analysis of hemodynamics in a curved artery with a stenosis)
The lecture, presented by the student (Ammar Abdul Hussein Radhi), included the presentation of the development of a new method that combines two analytical approximation methods for solving nonlinear partial differential equations. The first method is the Shiho transform method, and the second is the reduced differential transform method. These two methods were combined to form a new method characterized by high accuracy, better convergence, and fewer errors compared to the methods used. The new method was applied to study a model that simulates hemodynamics in a curved artery suffering from a stenosis, with the integration of the effects of aluminum oxide nanoparticles. In addition, the effects of electroosmosis, radiation, and magnetic field on the flow velocity were studied. The results showed higher accuracy compared to other methods previously used to solve this problem. The computational convergence analysis also demonstrated the efficiency and effectiveness of the new method theoretically and practically.