By Professor Kassem Ahmad Mustapha

Journal articles

Mustapha K, 2008, 'A Petrov-Galerkin method for integro-differential equations with a memory term', ANZIAM Journal, 50

Mustapha K; Mustapha H, 2008, 'A quadrature finite element method for semilinear second-order hyperbolic problems', Numerical Methods for Partial Differential Equations, 24, pp. 350 - 367, http://dx.doi.org/10.1002/num.20262

Mustapha H; Mustapha K, 2007, 'A new approach to simulating flow in discrete fracture networks with an optimized mesh', SIAM Journal on Scientific Computing, 29, pp. 1439 - 1459, http://dx.doi.org/10.1137/060653482

Mclean W; Mustapha K, 2007, 'A second-order accurate numerical method for a fractional wave equation', Numerische Mathematik, 105, pp. 481 - 510

Ganesh M; Mustapha K, 2006, 'A fully discrete H¹-Galerkin method with quadrature for nonlinear advection-diffusion-reaction equations', Numerical Algorithms, 43, pp. 355 - 383, http://dx.doi.org/10.1007/s11075-007-9066-6

Bialecki B; Ganesh M; Mustapha KA, 2006, 'A Petrov-Galerkin method with quadrature for semi-linear second-order hyperbolic problems', Numerical Methods for Partial Differential Equations, 22, pp. 1052 - 1069

Ganesh M; Mustapha KA, 2005, 'A Crank-Nicolson and ADI Galerkin method with quadrature for hyperbolic problems', Numerical Methods for Partial Differential Equations, 21, pp. 57 - 79

Bialecki B; Ganesh M; Mustapha KA, 2005, 'A Crank-Nicolson Petrov-Galerkin method with quadrature for semi-linear parabolic problems', Numerical Methods for Partial Differential Equations, 21, pp. 918 - 937

Bialecki B; Ganesh M; Mustapha KA, 2004, 'A Petrov-Galerkin method with quadrature for elliptic boundary value problems', IMA Journal of Numerical Analysis, 24, pp. 157 - 177

Ganesh M; Grigorieff RD; Mustapha KA, 2004, 'Discrete Petrov-Galerkin scheme for boundary value differential andintegral problems: Theory and applications', Mathematical and Computer Modelling, 40, pp. 1323 - 1334

Preprints

Mustapha K; McLean W; Dick J, 2024, An $\alpha$-robust and second-order accurate scheme for a subdiffusion equation, , http://dx.doi.org/10.48550/arxiv.2401.04946

Karaa S; Mustapha K; Ahmed N, 2023, A mixed FEM for a time-fractional Fokker-Planck model, , http://dx.doi.org/10.48550/arxiv.2310.17350

McLean W; Mustapha K, 2022, Error Profile for Discontinuous Galerkin Time Stepping of Parabolic PDEs, , http://arxiv.org/abs/2208.03846v2

Mustapha K; Knio OM; Maître OPL, 2021, A second-order accurate numerical scheme for a time-fractional Fokker-Planck equation, , http://dx.doi.org/10.48550/arxiv.2106.14146

McLean W; Mustapha K, 2020, Uniform stability for a spatially-discrete, subdiffusive Fokker-Planck equation, , http://dx.doi.org/10.48550/arxiv.2012.13860

Furati KM; Mustapha K; Sarumi IO; Iyiola OS, 2019, Inverse source in two-parameter anomalous diffusion, numerical algorithms and simulations over graded time-meshes, , http://dx.doi.org/10.48550/arxiv.1912.06614

Mustapha K, 2019, An L1 approximation for a fractional reaction-diffusion equation, a second-order error analysis over time-graded meshes, , http://dx.doi.org/10.48550/arxiv.1909.06739

Le KN; McLean W; Mustapha K, 2019, A semidiscrete finite element approximation of a time-fractional Fokker-Planck equation with nonsmooth initial data, , http://dx.doi.org/10.48550/arxiv.1902.03204

McLean W; Mustapha K; Ali R; Knio OM, 2019, Regularity theory for time-fractional advection-diffusion-reaction equations, , http://dx.doi.org/10.48550/arxiv.1902.00850

McLean W; Mustapha K; Ali R; Knio O, 2018, Well-posedness of time-fractional, advection-diffusion-reaction equations, , http://dx.doi.org/10.48550/arxiv.1810.04836

Allouch S; Lucchesi M; Maître OPL; Mustapha KA; Knio OM, 2017, Particle Simulation of Fractional Diffusion Equations, , http://dx.doi.org/10.48550/arxiv.1707.03871

Mustapha K; Furati K; Knio OM; Maitre OL, 2017, A finite difference method for space fractional differential equations with variable diffusivity coefficient, , http://dx.doi.org/10.48550/arxiv.1706.00971

Mustapha K, 2016, FEM for time-fractional diffusion equations, novel optimal error analyses, , http://dx.doi.org/10.48550/arxiv.1610.05621

Karaa S; Mustapha K; Pani AK, 2016, Optimal error analysis of a FEM for fractional diffusion problems by energy arguments, , http://dx.doi.org/10.48550/arxiv.1605.09104

Furati KM; Iyiola OS; Mustapha K, 2016, An inverse source problem for a two-parameter anomalous diffusion with local time datum, , http://dx.doi.org/10.48550/arxiv.1604.06886

Mustapha K; Abdallah B; Furati KM; Nour M, 2015, A discontinuous Galerkin method for time fractional diffusion equations with variable coefficients, , http://dx.doi.org/10.48550/arxiv.1511.00163

Karaa S; Mustapha K; Pani AK, 2015, Finite volume element method for two-dimensional fractional subdiffusion problems, , http://dx.doi.org/10.48550/arxiv.1510.07377

Le KN; McLean W; Mustapha K, 2015, Numerical solution of the time-fractional Fokker-Planck equation with general forcing, , http://dx.doi.org/10.48550/arxiv.1507.05706

Mustapha K; Nour M; Cockburn B, 2014, Convergence and superconvergence analyses of HDG methods for time fractional diffusion problems, , http://dx.doi.org/10.48550/arxiv.1412.2098

Cockburn B; Mustapha K, 2014, A hybridizable discontinuous Galerkin method for fractional diffusion problems, , http://dx.doi.org/10.48550/arxiv.1409.7383

Mustapha K, 2014, Time-stepping discontinuous Galerkin methods for fractional diffusion problems, , http://dx.doi.org/10.48550/arxiv.1409.6976

Mustapha K; Abdallah B; Furati K, 2014, A discontinuous Petrov-Galerkin method for time-fractional diffusion equations, , http://dx.doi.org/10.48550/arxiv.1409.1935

McLean W; Mustapha K, 2014, Time-stepping error bounds for fractional diffusion problems with non-smooth initial data, , http://dx.doi.org/10.48550/arxiv.1405.2140

Mustapha K, 2013, A Superconvergent discontinuous Galerkin method for Volterra integro-differential equations, smooth and non-smooth kernels, , http://dx.doi.org/10.48550/arxiv.1301.6778

Mustapha K; McLean W, 2012, Superconvergence of a discontinuous Galerkin method for fractional diffusion and wave equations, , http://dx.doi.org/10.48550/arxiv.1206.2686

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