On November 16, 2021, Professor Adewale James of the AUN Mathematics & Statistics Department presented a paper: "On Numerical Simulation for the Solution of Duffing Non-linear Differential Equations," at a SAS faculty seminar.
Dr. Adewale presented a new computational method to solve a model called Duffing Oscillator. Duffing oscillator/equation is one of the unique and special non-linear second order differential equations with many real-world applications in areas ranging from Physics to Economics. In his presentation, he analyzed the duffing equations and discussed the applications of this unique model.
Prof. Adewale went on to discuss the derivation and analysis of the basic properties of his new method. He then concluded by comparing the efficiency of his new method with existing methods in both tabular and graphical forms. The new method was tested on some modeled problems and was found computationally reliable and more efficient than existing methods.
"In order to understand the dynamics of many complex real life phenomena such as the investigation of cancer growth or the spread of disease in medicine, the movement of electricity in engineering, the dynamics of chemical reactions in Chemistry, the finding optimum investment strategies in Economics, the motion of waves or signal detection in physics etc., scientists over the years have engaged Mathematics to model, solve and interpret these phenomena".
Dr. Adewale is one of AUN鈥檚 most prolific researchers with articles in over twenty (20) peer-reviewed journals which have significant impact locally and internationally. According to his profile, he has earned a research impact of over 160 citations, an h-index of 8, and an i10-index of 8 on Google scholar. His recent publication on Ebola is Scopus indexed.
His current research interest includes the Computational approach to Mathematical Modeling and Intelligent System Theory. He is also exploring new and more efficient methods of solving Integro-Differential Equations and Delay Differential Equations for Linear and non-Linear systems.
His doctoral dissertation (2014) is titled: 鈥淯niform Order Hybrid Predictor-Corrector for the Solution of 1st Order Initial Value Problems of Ordinary Differential Equations.鈥 Please use the link to access Dr. Adewale's profile: Adewale Adeyemi james - 黑料网 (aun.edu.ng)