Research

My research interests are in the field of computational and applied mathematics, with a particular focus on computational mathematics and scientific computing. My work involves the development, analysis, and implementation of fast and high-order accurate numerical methods for solving periodic and oscillatory initial value problems. I specialize in deriving advanced time integration schemes, such as Runge–Kutta methods, for the efficient simulation of ordinary and partial differential equations, as well as computing numerical solutions to fractional partial differential equations.

I have actively contributed to the field of applied mathematics through collaborative research on a range of complex problems, including genetic regulatory systems, celestial mechanics, nonlinear forced vibrations, and nonlinear atomic vibrations. My current research focus is on Two-Derivative IMplicit-EXplicit (TD-IMEX) Runge-Kutta (RK) time integrators for Advection-Diffusion-Reaction equations modelling complex systems in physics, fluid structure interactions and air-pollution tracking. We are adapting the implementation of the algorithms using Field-Programmable Gate Arrays (FPGAs) architecture as a transformative computational technology for high-performance computing (HPC) systems.

Current Research:

Over the years, my research has been supported by IMU-Simons, EMS-Simons research grants. My current research is supported by CRC Research Grant, University of Lagos, TETFund NRF Grant and the APSA Awards.