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math.NA2017★ 1 cited
A finite difference method for space fractional differential equations with variable diffusivity coefficient
K. Mustapha, K. Furati, O. M. Knio +1
Anomalous diffusion is a phenomenon that cannot be modeled accurately by second-order diffusion equations, but is better described by fractional diffusion models. The nonlocal natu…
math.NA2014
A discontinuous Petrov-Galerkin method for time-fractional diffusion equations
Kassem Mustapha, Basheer Abdallah, Khaled Furati
We propose and analyze a time-stepping discontinuous Petrov-Galerkin method combined with the continuous conforming finite element method in space for the numerical solution of tim…