2 papers
math.NA2015
A discontinuous Galerkin method for time fractional diffusion equations with variable coefficients
K. Mustapha, B. Abdallah, K. M. Furati +1
We propose a piecewise-linear, time-stepping discontinuous Galerkin method to solve numerically a time fractional diffusion equation involving Caputo derivative of order $μ\in (0,1…
math.NA2014
Convergence and superconvergence analyses of HDG methods for time fractional diffusion problems
Kassem Mustapha, Maher Nour, Bernardo Cockburn
We study the hybridizable discontinuous Galerkin (HDG) method for the spatial discretization of time fractional diffusion models with Caputo derivative of order . For each t…