7 papers · 1 filter
Numerical approximations for a hyperbolic integrodifferential equation with a non-positive variable-sign kernel and nonlinear-nonlocal damping
Wenlin Qiu, Xiangcheng Zheng, Kassem Mustapha
This work considers the Galerkin approximation and analysis for a hyperbolic integrodifferential equation, where the non-positive variable-sign kernel and nonlinear-nonlocal dampin…
An -robust and second-order accurate scheme for a subdiffusion equation
Kassem Mustapha, William McLean, Josef Dick
We investigate a second-order accurate time-stepping scheme for solving a time-fractional diffusion equation with a Caputo derivative of order~. The basic idea of our s…
A mixed FEM for a time-fractional Fokker-Planck model
Samir Karaa, Kassem Mustapha, Naveed Ahmed
We propose and analyze a mixed finite element method for the spatial approximation of a time-fractional Fokker--Planck equation in a convex polyhedral domain, where the given drivi…
Error Profile for Discontinuous Galerkin Time Stepping of Parabolic PDEs
William McLean, Kassem Mustapha
We consider the time discretization of a linear parabolic problem by the discontinuous Galerkin (DG) method using piecewise polynomials of degree at most in , for …
A second-order accurate numerical scheme for a time-fractional Fokker-Planck equation
Kassem Mustapha, Omar M. Knio, Olivier P. Le Maître
A time-stepping scheme for solving a time fractional Fokker-Planck equation of order , with a general driving force, is investigated. A stability bound for the se…
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…