Kassem Mustapha

Publication Activity (10 Years)

Years Active: 2004-2024
Publications (10 Years): 27

Top Topics

Diffusion Equation

Numerical Algorithms

Top Venues

Comput. Math. Appl.

Numer. Algorithms

J. Sci. Comput.

Publications

Kassem Mustapha, William McLean, Josef Dick
An α-robust second-order accurate scheme for a subdiffusion equation. CoRR (2024)
Kassem Mustapha, William McLean, Josef Dick
An α-Robust and Second-Order Accurate Scheme for a Subdiffusion Equation. J. Sci. Comput. 99 (3) (2024)
Josef Dick, T. Le Gia, William McLean, Kassem Mustapha, T. Tran
High-order QMC nonconforming FEMs for nearly incompressible planar stochastic elasticity equations. CoRR (2024)
Samir Karaa, Kassem Mustapha, Naveed Ahmed
A Mixed FEM for a Time-Fractional Fokker-Planck Model. J. Sci. Comput. 99 (3) (2024)
Ibrahim O. Sarumi, Khaled M. Furati, Kassem Mustapha, Abdul Q. M. Khaliq
Efficient high-order exponential time differencing methods for nonlinear fractional differential models. Numer. Algorithms 92 (2) (2023)
William McLean, Kassem Mustapha
Error profile for discontinuous Galerkin time stepping of parabolic PDEs. Numer. Algorithms 93 (1) (2023)
Samir Karaa, Kassem Mustapha, Naveed Ahmed
A mixed FEM for a time-fractional Fokker-Planck model. CoRR (2023)
William McLean, Kassem Mustapha
Error Profile for Discontinuous Galerkin Time Stepping of Parabolic PDEs. CoRR (2022)
William McLean, Kassem Mustapha
Uniform stability for a spatially discrete, subdiffusive Fokker-Planck equation. Numer. Algorithms 89 (4) (2022)
William McLean, Kassem Mustapha, Raed Ali, Omar M. Knio
Erratum to "Regularity theory for time-fractional advection-diffusion-reaction equations" [Comput. Math. Appl. 79 (2020) 947-961]. Comput. Math. Appl. 85 (2021)
Kassem Mustapha, Omar M. Knio, Olivier P. Le Maître
A second-order accurate numerical scheme for a time-fractional Fokker-Planck equation. CoRR (2021)
Ibrahim O. Sarumi, Khaled M. Furati, Abdul Q. M. Khaliq, Kassem Mustapha
Generalized Exponential Time Differencing Schemes for Stiff Fractional Systems with Nonsmooth Source Term. J. Sci. Comput. 86 (2) (2021)
Khaled M. Furati, Kassem Mustapha, Ibrahim O. Sarumi, Olaniyi Samuel Iyiola
Inverse source in two-parameter anomalous diffusion, numerical algorithms, and simulations over graded time meshes. Comput. Appl. Math. 40 (1) (2021)
William McLean, Kassem Mustapha, Raed Ali, Omar M. Knio
Regularity theory for time-fractional advection-diffusion-reaction equations. Comput. Math. Appl. 79 (4) (2020)
William McLean, Kassem Mustapha
Uniform stability for a spatially-discrete, subdiffusive Fokker-Planck equation. CoRR (2020)
Kassem Mustapha
An L1 Approximation for a Fractional Reaction-Diffusion Equation, a Second-Order Error Analysis over Time-Graded Meshes. SIAM J. Numer. Anal. 58 (2) (2020)
Kassem Mustapha
An L1 approximation for a fractional reaction-diffusion equation, a second-order error analysis over time-graded meshes. CoRR (2019)
Johnson D. Audu, Faisal A. Fairag, Kassem Mustapha
Mixed finite element analysis for generalized Darcy-Forchheimer model in porous media. J. Comput. Appl. Math. 353 (2019)
Khaled M. Furati, Kassem Mustapha, Ibrahim O. Sarumi, Olaniyi Samuel Iyiola
Inverse source in two-parameter anomalous diffusion, numerical algorithms and simulations over graded time-meshes. CoRR (2019)
Samir Karaa, Kassem Mustapha, Amiya Kumar Pani
Optimal Error Analysis of a FEM for Fractional Diffusion Problems by Energy Arguments. J. Sci. Comput. 74 (1) (2018)
Kim Ngan Le, William McLean, Kassem Mustapha
A Semidiscrete Finite Element Approximation of a Time-Fractional Fokker-Planck Equation with NonSmooth Initial Data. SIAM J. Sci. Comput. 40 (6) (2018)
Kassem Mustapha
FEM for time-fractional diffusion equations, novel optimal error analyses. Math. Comput. 87 (313) (2018)
Abiola D. Obembe, M. Enamul Hossain, Kassem Mustapha, Sidqi A. Abu-Khamsin
A modified memory-based mathematical model describing fluid flow in porous media. Comput. Math. Appl. 73 (6) (2017)
Khaled M. Furati, Olaniyi Samuel Iyiola, Kassem Mustapha
An inverse source problem for a two-parameter anomalous diffusion with local time datum. Comput. Math. Appl. 73 (6) (2017)
Kim Ngan Le, William McLean, Kassem Mustapha
Numerical Solution of the Time-Fractional Fokker-Planck Equation with General Forcing. SIAM J. Numer. Anal. 54 (3) (2016)
Kassem Mustapha, B. Abdallah, Khaled M. Furati, Maher Nour
A discontinuous Galerkin method for time fractional diffusion equations with variable coefficients. Numer. Algorithms 73 (2) (2016)
Kassem Mustapha, Maher Nour, Bernardo Cockburn
Convergence and superconvergence analyses of HDG methods for time fractional diffusion problems. Adv. Comput. Math. 42 (2) (2016)
Kassem Mustapha
Time-stepping discontinuous Galerkin methods for fractional diffusion problems. Numerische Mathematik 130 (3) (2015)
Bernardo Cockburn, Kassem Mustapha
A hybridizable discontinuous Galerkin method for fractional diffusion problems. Numerische Mathematik 130 (2) (2015)
William McLean, Kassem Mustapha
Time-stepping error bounds for fractional diffusion problems with non-smooth initial data. J. Comput. Phys. 293 (2015)
Kassem Mustapha, B. Abdallah, Khaled M. Furati
A Discontinuous Petrov-Galerkin Method for Time-Fractional Diffusion Equations. SIAM J. Numer. Anal. 52 (5) (2014)
Kassem Mustapha, William McLean
Superconvergence of a Discontinuous Galerkin Method for Fractional Diffusion and Wave Equations. SIAM J. Numer. Anal. 51 (1) (2013)
Kassem Mustapha, Jennifer K. Ryan
Post-processing discontinuous Galerkin solutions to Volterra integro-differential equations: Analysis and simulations. J. Comput. Appl. Math. 253 (2013)
Kassem Mustapha
A Superconvergent discontinuous Galerkin method for Volterra integro-differential equations, smooth and non-smooth kernels. Math. Comput. 82 (284) (2013)
Kassem Mustapha, Jaafar AlMutawa
A finite difference method for an anomalous sub-diffusion equation, theory and applications. Numer. Algorithms 61 (4) (2012)
Kassem Mustapha, Hermann Brunner, Hussein Mustapha, Dominik Schötzau
An hp-Version Discontinuous Galerkin Method for Integro-Differential Equations of Parabolic Type. SIAM J. Numer. Anal. 49 (4) (2011)
Kassem Mustapha, William McLean
Piecewise-linear, discontinuous Galerkin method for a fractional diffusion equation. Numer. Algorithms 56 (2) (2011)
Hussein Mustapha, Abir Ghorayeb, Kassem Mustapha, Pierre Saramito
An efficient parallel mixed method for flow simulations in heterogeneous geological media. Int. J. Comput. Math. 87 (3) (2010)
Kassem Mustapha, William McLean
Discontinuous Galerkin method for an evolution equation with a memory term of positive type. Math. Comput. 78 (268) (2009)
Kassem Mustapha
Numerical solution for a sub-diffusion equation with a smooth kernel. J. Comput. Appl. Math. 231 (2) (2009)
William McLean, Kassem Mustapha
Convergence analysis of a discontinuous Galerkin method for a sub-diffusion equation. Numer. Algorithms 52 (1) (2009)
Hussein Mustapha, Kassem Mustapha
A New Approach to Simulating Flow in Discrete Fracture Networks with an Optimized Mesh. SIAM J. Sci. Comput. 29 (4) (2007)
William McLean, Kassem Mustapha
A second-order accurate numerical method for a fractional wave equation. Numerische Mathematik 105 (3) (2007)
Mahadevan Ganesh, Kassem Mustapha
-Galerkin method with quadrature for nonlinear advection-diffusion-reaction equations. Numer. Algorithms 43 (4) (2006)
Mahadevan Ganesh, Rolf Dieter Grigorieff, Kassem Mustapha
Discrete petrov-galerkin scheme for boundary value differential and integral problems: Theory and applications. Math. Comput. Model. 40 (11-12) (2004)