Professor Kassem Mustapha

Postdoctoral Fellow

PhD in Computational Mathematics, UNSW, 2004

Science
School of Mathematics & Statistics

I completed my PhD in numerical and computational mathematics at UNSW in 2004, under the supervision of Professors M. Ganesh and I. Sloan. Over the years, I have developed a strong research background in applied and computational mathematics.

My current research focuses on developing efficient computational methods for elasticity equations with random parameters. I am also working on various numerical methods for solving both deterministic and stochastic time-fractional diffusion models, including cases with heterogeneous diffusivity. My contributions to this field of research are internationally recognized.

Location
School of Mathematics and Statistics Anita B. Lawrence Centre, UNSW Sydney Sydney NSW 2052
  • Journal articles | 2025
    Clarke M; Dick J; Le Gia QT; Mustapha K; Tran T, 2025, 'QUASI-MONTE CARLO SPARSE GRID GALERKIN FINITE ELEMENT METHODS FOR LINEAR ELASTICITY EQUATIONS WITH UNCERTAINTIES', International Journal for Uncertainty Quantification, 15, pp. 77 - 94, http://dx.doi.org/10.1615/Int.J.UncertaintyQuantification.2025056524
    Journal articles | 2025
    Dick J; Gao H; McLean W; Mustapha K, 2025, 'Time-fractional diffusion equations with randomness, and efficient numerical estimations of expected values', Numerical Algorithms, http://dx.doi.org/10.1007/s11075-025-02066-0
    Journal articles | 2025
    Qiu W; Zheng X; Mustapha K, 2025, 'Numerical approximations for a hyperbolic integrodifferential equation with a non-positive variable-sign kernel and nonlinear-nonlocal damping', Applied Numerical Mathematics, 213, pp. 61 - 76, http://dx.doi.org/10.1016/j.apnum.2025.02.018
    Journal articles | 2024
    Karaa S; Mustapha K; Ahmed N, 2024, 'A Mixed FEM for a Time-Fractional Fokker–Planck Model', Journal of Scientific Computing, 99, http://dx.doi.org/10.1007/s10915-024-02529-x
    Journal articles | 2024
    Mustapha K; McLean W; Dick J, 2024, 'An α-Robust and Second-Order Accurate Scheme for a Subdiffusion Equation', Journal of Scientific Computing, 99, http://dx.doi.org/10.1007/s10915-024-02554-w
    Journal articles | 2023
    McLean W; Mustapha K, 2023, 'Error profile for discontinuous Galerkin time stepping of parabolic PDEs', Numerical Algorithms, 93, pp. 157 - 177, http://dx.doi.org/10.1007/s11075-022-01410-y
    Journal articles | 2023
    Mustapha K; Knio OM; Le Maître OP, 2023, 'A second-order accurate numerical scheme for a time-fractional Fokker-Planck equation', IMA Journal of Numerical Analysis, 43, pp. 2115 - 2136, http://dx.doi.org/10.1093/imanum/drac031
    Journal articles | 2023
    Sarumi IO; Furati KM; Mustapha K; Khaliq AQM, 2023, 'Efficient high-order exponential time differencing methods for nonlinear fractional differential models', Numerical Algorithms, 92, pp. 1261 - 1288, http://dx.doi.org/10.1007/s11075-022-01339-2
    Journal articles | 2022
    McLean W; Mustapha K, 2022, 'Uniform stability for a spatially discrete, subdiffusive Fokker–Planck equation', Numerical Algorithms, 89, pp. 1441 - 1463, http://dx.doi.org/10.1007/s11075-021-01160-3
    Journal articles | 2021
    Alzahrani HH; Lucchesi M; Mustapha K; Le Matre OP; Knio OM, 2021, 'Bayesian calibration of order and diffusivity parameters in a fractional diffusion equation', Journal of Physics Communications, 5, http://dx.doi.org/10.1088/2399-6528/AC1507
    Journal articles | 2021
    Anaya K; Messaoudi SA; Mustapha K, 2021, 'Decay rate of a weakly dissipative viscoelastic plate equation with infinite memory', Arabian Journal of Mathematics, 10, pp. 31 - 39, http://dx.doi.org/10.1007/s40065-020-00295-w
    Journal articles | 2021
    Furati KM; Mustapha K; Sarumi IO; Iyiola OS, 2021, 'Inverse source in two-parameter anomalous diffusion, numerical algorithms, and simulations over graded time meshes', Computational and Applied Mathematics, 40, http://dx.doi.org/10.1007/s40314-020-01399-x
    Journal articles | 2021
    McLean W; Mustapha K; Ali R; Knio OM, 2021, 'Erratum to “Regularity theory for time-fractional advection-diffusion-reaction equations” [Comput. Math. Appl. 79 (2020) 947–961] (Computers and Mathematics with Applications (2020) 79(4) (947–961), (S0898122119304055), (10.1016/j.camwa.2019.08.008))', Computers and Mathematics with Applications, 85, pp. 82 - 83, http://dx.doi.org/10.1016/j.camwa.2021.01.008
    Journal articles | 2021
    Sarumi IO; Furati KM; Khaliq AQM; Mustapha K, 2021, 'Generalized Exponential Time Differencing Schemes for Stiff Fractional Systems with Nonsmooth Source Term', Journal of Scientific Computing, 86, http://dx.doi.org/10.1007/s10915-020-01374-y
    Journal articles | 2020
    Lucchesi M; Allouch S; Le Maître OP; Mustapha KA; Knio OM, 2020, 'Particle simulation of space–fractional diffusion equations', Computational Particle Mechanics, 7, pp. 491 - 507, http://dx.doi.org/10.1007/s40571-019-00275-8
    Journal articles | 2020
    McLean W; Mustapha K; Ali R; Knio OM, 2020, 'Regularity theory for time-fractional advection–diffusion–reaction equations', Computers and Mathematics with Applications, 79, pp. 947 - 961, http://dx.doi.org/10.1016/j.camwa.2019.08.008
    Journal articles | 2020
    Mustapha K, 2020, 'An \bfitl 1 approximation for a fractional reaction-diffusion equation, a second-order error analysis over time-graded meshes', SIAM Journal on Numerical Analysis, 58, pp. 1319 - 1338, http://dx.doi.org/10.1137/19M1260475
    Journal articles | 2020
    Mustapha KA; Furati KM; Knio OM; Le Maître OP, 2020, 'A Finite Difference Method for Space Fractional Differential Equations with Variable Diffusivity Coefficient', Communications on Applied Mathematics and Computation, 2, pp. 671 - 688, http://dx.doi.org/10.1007/s42967-020-00066-6
    Journal articles | 2019
    Audu JD; Fairag F; Mustapha K, 2019, 'Mixed finite element analysis for generalized Darcy–Forchheimer model in porous media', Journal of Computational and Applied Mathematics, 353, pp. 191 - 203, http://dx.doi.org/10.1016/j.cam.2018.12.009
    Journal articles | 2019
    McLean W; Mustapha K; Ali R; Knio O, 2019, 'Well-posedness of time-fractional advection-diffusion-reaction equations', Fractional Calculus and Applied Analysis, 22, pp. 918 - 944, http://dx.doi.org/10.1515/fca-2019-0050
    Journal articles | 2018
    Karaa S; Mustapha K; Pani AK, 2018, 'Optimal Error Analysis of a FEM for Fractional Diffusion Problems by Energy Arguments', Journal of Scientific Computing, 74, pp. 519 - 535, http://dx.doi.org/10.1007/s10915-017-0450-7
    Journal articles | 2018
    Le KN; Mclean W; Mustapha K, 2018, 'A semidiscrete finite element approximation of a time-fractional Fokker Planck equation with nonsmooth initial data', SIAM Journal on Scientific Computing, 40, pp. A3831 - A3852, http://dx.doi.org/10.1137/17M1125261
    Journal articles | 2018
    Mustapha K, 2018, 'Fem for time-fractional diffusion equations, novel optimal error analyses', Mathematics of Computation, 87, pp. 2259 - 2272, http://dx.doi.org/10.1090/mcom/3304
    Journal articles | 2018
    Obembe AD; Abu-Khamsin SA; Hossain ME; Mustapha K, 2018, 'Analysis of subdiffusion in disordered and fractured media using a Grünwald-Letnikov fractional calculus model', Computational Geosciences, 22, pp. 1231 - 1250, http://dx.doi.org/10.1007/s10596-018-9749-1
    Journal articles | 2017
    Furati KM; Iyiola OS; Mustapha K, 2017, 'An inverse source problem for a two-parameter anomalous diffusion with local time datum', Computers and Mathematics with Applications, 73, pp. 1008 - 1015, http://dx.doi.org/10.1016/j.camwa.2016.06.036
    Journal articles | 2017
    Karaa S; Mustapha K; Pani AK, 2017, 'Finite volume element method for two-dimensional fractional subdiffusion problems', IMA Journal of Numerical Analysis, 37, pp. 945 - 964, http://dx.doi.org/10.1093/imanum/drw010
    Journal articles | 2017
    Obembe AD; Hossain ME; Mustapha K; Abu-Khamsin SA, 2017, 'A modified memory-based mathematical model describing fluid flow in porous media', Computers and Mathematics with Applications, 73, pp. 1385 - 1402, http://dx.doi.org/10.1016/j.camwa.2016.11.022
    Journal articles | 2016
    Le KN; McLean W; Mustapha K, 2016, 'Numerical solution of the time-fractional Fokker-Planck equation with general forcing', SIAM Journal on Numerical Analysis, 54, pp. 1763 - 1784, http://dx.doi.org/10.1137/15M1031734
    Journal articles | 2016
    Mustapha K; Abdallah B; Furati KM; Nour M, 2016, 'A discontinuous Galerkin method for time fractional diffusion equations with variable coefficients', Numerical Algorithms, 73, pp. 517 - 534, http://dx.doi.org/10.1007/s11075-016-0106-y
    Journal articles | 2016
    Mustapha K; Nour M; Cockburn B, 2016, 'Convergence and superconvergence analyses of HDG methods for time fractional diffusion problems', Advances in Computational Mathematics, 42, pp. 377 - 393, http://dx.doi.org/10.1007/s10444-015-9428-x
    Journal articles | 2015
    Cockburn B; Mustapha K, 2015, 'A hybridizable discontinuous Galerkin method for fractional diffusion problems', Numerische Mathematik, 130, pp. 293 - 314, http://dx.doi.org/10.1007/s00211-014-0661-x
    Journal articles | 2015
    McLean W; Mustapha K, 2015, 'Time-stepping error bounds for fractional diffusion problems with non-smooth initial data', Journal of Computational Physics, 293, pp. 201 - 217, http://dx.doi.org/10.1016/j.jcp.2014.08.050
    Journal articles | 2015
    Mustapha K, 2015, 'Time-stepping discontinuous Galerkin methods for fractional diffusion problems', Numerische Mathematik, 130, pp. 497 - 516, http://dx.doi.org/10.1007/s00211-014-0669-2
    Journal articles | 2014
    Mustapha K; Abdallah B; Furati KM, 2014, 'A discontinuous Petrov-Galerkin method for time-fractional diffusion equations', SIAM Journal on Numerical Analysis, 52, pp. 2512 - 2529, http://dx.doi.org/10.1137/140952107
    Journal articles | 2014
    Mustapha K; Schötzau D, 2014, 'Well-posedness of hp -version discontinuous Galerkin methods for fractional diffusion wave equations', IMA Journal of Numerical Analysis, 34, pp. 1426 - 1446, http://dx.doi.org/10.1093/imanum/drt048
    Journal articles | 2013
    Mustapha H; Ghorayeb A; Mustapha K, 2013, 'Erratum: Complex flow simulation in natural aquifer (Advanced Engineering Informatics (2009) 23 (288-293))', Advanced Engineering Informatics, 27, pp. 149 - 156, http://dx.doi.org/10.1016/j.aei.2012.11.002
    Journal articles | 2013
    Mustapha K; Mclean W, 2013, 'Superconvergence of a discontinuous Galerkin method for fractional diffusion and wave equations', SIAM Journal on Numerical Analysis, 51, pp. 491 - 515, http://dx.doi.org/10.1137/120880719
    Journal articles | 2013
    Mustapha K; Ryan JK, 2013, 'Post-processing discontinuous Galerkin solutions to Volterra integro-differential equations: Analysis and simulations', Journal of Computational and Applied Mathematics, 253, pp. 89 - 103, http://dx.doi.org/10.1016/j.cam.2013.03.047
    Journal articles | 2013
    Mustapha K, 2013, 'A superconvergent discontinuous galerkin method for volterra integro-differential equations, smooth and non-smooth kernels', Mathematics of Computation, 82, pp. 1987 - 2005, http://dx.doi.org/10.1090/S0025-5718-2013-02689-0
    Journal articles | 2012
    Mustapha H; Ghorayeb A; Mustapha KA, 2012, 'Corrigendum to "Underground flow simulations using parallel finite element method" [Computers & Geosciences 36 (2010) 161-166]', Computers and Geosciences, 49, pp. 267 - 269, http://dx.doi.org/10.1016/j.cageo.2012.03.017
    Journal articles | 2012
    Mustapha K; AlMutawa J, 2012, 'A finite difference method for an anomalous sub-diffusion equation, theory and applications', Numerical Algorithms, 61, pp. 525 - 543, http://dx.doi.org/10.1007/s11075-012-9547-0
    Journal articles | 2012
    Mustapha K; Mclean W, 2012, 'Uniform convergence for a discontinuous Galerkin, time-stepping method applied to a fractional diffusion equation', IMA Journal of Numerical Analysis, 32, pp. 906 - 925, http://dx.doi.org/10.1093/imanum/drr027
    Journal articles | 2011
    Mclean W; Mustapha K, 2011, 'Piecewise-linear, discontinuous Galerkin method for a fractional diffusion equation', Numerical Algorithms, 56, pp. 159 - 184, http://dx.doi.org/10.1007/s11075-010-9379-8
    Journal articles | 2011
    Mustapha K; Brunner H; Mustapha H; Schotzau D, 2011, 'An hp-version discontinuous Galerkin method for integro-differential equations of parabolic type', SIAM Journal on Numerical Analysis, 49, pp. 1369 - 1396, http://dx.doi.org/10.1137/100797114
    Journal articles | 2011
    Mustapha K, 2011, 'An implicit finite-difference time-stepping method for a sub-diffusion equation, with spatial discretization by finite elements', IMA Journal of Numerical Analysis, 31, pp. 719 - 739, http://dx.doi.org/10.1093/imanum/drp057
    Journal articles | 2011
    Mustapha K, 2011, 'The hp- and h-versions of the discontinuous and local discontinuous Galerkin methods for one-dimensional singularly perturbed models', Applied Numerical Mathematics, 61, pp. 1223 - 1236, http://dx.doi.org/10.1016/j.apnum.2011.08.001
    Journal articles | 2010
    Mustapha H; Ghorayeb A; Mustapha K; Saramito P, 2010, 'An efficient parallel mixed method for flow simulations in heterogeneous geological media', International Journal of Computer Mathematics, 87, pp. 607 - 618, http://dx.doi.org/10.1080/00207160802158728
    Journal articles | 2010
    Mustapha H; Ghorayeb A; Mustapha KA, 2010, 'Underground flow simulations using parallel finite element method', Computers and Geosciences, 36, pp. 161 - 166, http://dx.doi.org/10.1016/j.cageo.2008.12.018
    Journal articles | 2010
    Mustapha K; Mustapha H, 2010, 'A second-order accurate numerical method for a semilinear integro-differential equation with a weakly singular kernel', IMA Journal of Numerical Analysis, 30, pp. 555 - 578, http://dx.doi.org/10.1093/imanum/drn075
    Journal articles | 2009
    Blalecki B; Ganesh M; Mustapha K, 2009, 'An ADI Petrov-galerkin method with quadrature for parabolic problems', Numerical Methods for Partial Differential Equations, 25, pp. 1129 - 1148, http://dx.doi.org/10.1002/num.20391
    Journal articles | 2009
    Mustapha K; Mclean W, 2009, 'Convergence analysis of a discontinuous Galerkin method for a sub-diffusion equation', Numerical Algorithms, 52, pp. 69 - 88
    Journal articles | 2009
    Mustapha K, 2009, 'Numerical solution for a sub-diffusion equation with a smooth kernel', Journal of Computational and Applied Mathematics, 231, pp. 735 - 744, http://dx.doi.org/10.1016/j.cam.2009.04.020
    Journal articles | 2009
    Mustapha KA; Mclean W, 2009, 'Discontinuous galerkin method for an evolution equation with a memory term of positive type', Mathematics of Computation, 78, pp. 1975 - 1995
    Journal articles | 2008
    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
    Journal articles | 2008
    Mustapha K, 2008, 'A Petrov-Galerkin method for integro-differential equations with a memory term', Anziam Journal, 50, pp. C610 - C624, http://dx.doi.org/10.21914/anziamj.v50i0.1382
    Journal articles | 2007
    Mclean W; Mustapha K, 2007, 'A second-order accurate numerical method for a fractional wave equation', Numerische Mathematik, 105, pp. 481 - 510
    Journal articles | 2007
    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
    Journal articles | 2006
    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
    Journal articles | 2006
    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
    Journal articles | 2005
    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
    Journal articles | 2005
    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
    Journal articles | 2004
    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
    Journal articles | 2004
    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 | 2024
    Dick J; Gao H; McLean W; Mustapha K, 2024, Time-fractional diffusion equations with randomness, and efficient numerical estimations of expected values
    Preprints | 2024
    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
    Preprints | 2024
    Qiu W; Zheng X; Mustapha K, 2024, Numerical approximations for a hyperbolic integrodifferential equation with a non-positive variable-sign kernel and nonlinear-nonlocal damping, http://dx.doi.org/10.48550/arxiv.2412.07394
    Preprints | 2023
    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
    Preprints | 2022
    McLean W; Mustapha K, 2022, Error Profile for Discontinuous Galerkin Time Stepping of Parabolic PDEs, http://arxiv.org/abs/2208.03846v2
    Preprints | 2021
    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
    Preprints | 2020
    McLean W; Mustapha K, 2020, Uniform stability for a spatially-discrete, subdiffusive Fokker-Planck equation, http://dx.doi.org/10.1007/s11075-021-01160-3
    Preprints | 2019
    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
    Preprints | 2019
    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
    Preprints | 2019
    McLean W; Mustapha K; Ali R; Knio OM, 2019, Regularity theory for time-fractional advection-diffusion-reaction equations, http://dx.doi.org/10.1016/j.camwa.2019.08.008
    Preprints | 2019
    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
    Preprints | 2018
    McLean W; Mustapha K; Ali R; Knio O, 2018, Well-posedness of time-fractional, advection-diffusion-reaction equations, http://dx.doi.org/10.1515/fca-2019-0050
    Preprints | 2017
    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
    Preprints | 2017
    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
    Preprints | 2016
    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
    Preprints | 2016
    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
    Preprints | 2016
    Mustapha K, 2016, FEM for time-fractional diffusion equations, novel optimal error analyses, http://dx.doi.org/10.48550/arxiv.1610.05621
    Preprints | 2015
    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
    Preprints | 2015
    Le KN; McLean W; Mustapha K, 2015, Numerical solution of the time-fractional Fokker-Planck equation with general forcing, http://dx.doi.org/10.1137/15M1031734
    Preprints | 2015
    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
    Preprints | 2014
    Cockburn B; Mustapha K, 2014, A hybridizable discontinuous Galerkin method for fractional diffusion problems, http://dx.doi.org/10.48550/arxiv.1409.7383
    Preprints | 2014
    McLean W; Mustapha K, 2014, Time-stepping error bounds for fractional diffusion problems with non-smooth initial data, http://dx.doi.org/10.1016/j.jcp.2014.08.050
    Preprints | 2014
    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
    Preprints | 2014
    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
    Preprints | 2014
    Mustapha K, 2014, Time-stepping discontinuous Galerkin methods for fractional diffusion problems, http://dx.doi.org/10.48550/arxiv.1409.6976
    Preprints | 2013
    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
    Preprints | 2012
    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

I successfully applied for several research grants. These are some of them:

1- 2016-2018, KFUPM-KAUST grant (with Khaled Furati). Title: Fractional Diffusion Modeling of Transport in the Environment, budget: 123,576 SAR.

2- 2014-2016, NSTIP grant (with Bernardo Cockburn, Jaafar AlMutawa and Jamal Al-Smail). Title: Efficient numerical methods for simulating fractional diffusion models, budget: 697,600 SAR

3- 2014-2016, ARC discovery grant (with Bruce Henry and William McLean). Title: Advanced mathematical modeling and computation of fractional sub-diffusion problems in complex domains,udget: 345,000 AUD.