Regular biography
Professor Kassem Ahmad Mustapha is a researcher at The University of New South Wales, affiliated with the School of Mathematics and Statistics. His research interests include applied and computational mathematics, with a focus on developing efficient computational methods for elasticity equations with random parameters and numerical methods for solving deterministic and stochastic time-fractional diffusion models. He completed his PhD in numerical and computational mathematics at UNSW in 2004 under the supervision of Professors M. Ganesh and I. Sloan. His work has been supported by several grants, including a KFUPM-KAUST grant, an NSTIP grant, and an ARC discovery grant.
Scholar-generated biography
Kassem Mustapha is a computational mathematician specializing in Fractional Calculus and Partial Differential Equations (PDEs). His research focuses on developing and analyzing numerical methods for solving fractional diffusion and wave equations, including discontinuous Galerkin, finite element, and finite volume element methods. His work addresses time-fractional equations, subdiffusion, and memory terms, with an emphasis on error analysis, convergence, and stability. Mustapha's contributions include second-order accurate methods, superconvergence results, and time-stepping techniques for fractional reaction-diffusion equations. His research bridges theoretical analysis and practical simulation of complex physical phenomena modeled by fractional-order systems.