168 citations · 435 across the 24 of their papers we have counts for
4 papers · 1 filter
Inverse source in two-parameter anomalous diffusion, numerical algorithms and simulations over graded time-meshes
Khaled M. Furati, Kassem Mustapha, Ibrahim O. Sarumi +1
We consider an inverse source two-parameter sub-diffusion model subject to a nonlocal initial condition. The problem models several physical processes, among them are the microwave…
An L1 approximation for a fractional reaction-diffusion equation, a second-order error analysis over time-graded meshes
Kassem Mustapha
A time-stepping L1 scheme for subdiffusion equation with a Riemann--Liouville time-fractional derivative is developed and analyzed. This is the first paper to show that the L1 sche…
A semidiscrete finite element approximation of a time-fractional Fokker-Planck equation with nonsmooth initial data
Kim Ngan Le, William McLean, Kassem Mustapha
We present a new stability and convergence analysis for the spatial discretization of a time-fractional Fokker--Planck equation in a convex polyhedral domain, using continuous, pie…
Regularity theory for time-fractional advection-diffusion-reaction equations
William McLean, Kassem Mustapha, Raed Ali +1
We investigate the behavior of the time derivatives of the solution to a linear time-fractional, advection-diffusion-reaction equation, allowing space- and time-dependent coefficie…