A well-balanced positivity preserving cell-vertex finite volume method satisfying the discrete maximum-minimum principle for coupled models of surface water flow and scalar transport. - Hasan Karjoun; Abdelaziz Beljadid; Philippe G. LeFloch (CoRR, 2020)

Implicit and semi-implicit second-order time stepping methods for the Richards equation. - Sana Keita; Abdelaziz Beljadid; Yves Bourgault (CoRR, 2021)

Modeling of unsaturated flow through porous media using meshless methods. - Mohamed Boujoudar; Abdelaziz Beljadid; Ahmed Taik (CoRR, 2021)

Modelling of coupled surface and subsurface water flows. - K. Hasan; Abdelaziz Beljadid (CoRR, 2021)

Numerical modelling of variable density shallow water flows with friction term. - Amine Hanini; Abdelaziz Beljadid; Driss Ouazar (CoRR, 2021)

Efficient second-order semi-implicit finite element method for fourth-order nonlinear diffusion equations. - Sana Keita; Abdelaziz Beljadid; Yves Bourgault (Comput. Phys. Commun., 2021)

Mass-conservative and positivity preserving second-order semi-implicit methods for high-order parabolic equations. - Sana Keita; Abdelaziz Beljadid; Yves Bourgault (J. Comput. Phys., 2021)

A structure-preserving algorithm for surface water flows with transport processes. - Hasan Karjoun; Abdelaziz Beljadid; Philippe G. LeFloch (Adv. Comput. Math., 2022)

A new numerical treatment of soil heterogeneity for modeling unsaturated flow. - Mohamed Boujoudar; Abdelaziz Beljadid; Ahmed Taik (CoRR, 2022)

A numerical model preserving nontrivial steady-state solutions for predicting waves run-up on coastal areas. - Hasan Karjoun; Abdelaziz Beljadid (CoRR, 2022)

Transition to Chaos in Five-Dimensional Porous-Medium Thermal-Hydrodynamic Model with Low Prandtl Number. - Abdelaziz Beljadid; Youssef Joundy; Hamza Rouah; Ahmed Taik (Int. J. Bifurc. Chaos, 2022)

Node-Diamond approximation of heterogeneous and anisotropic diffusion systems on arbitrary two-dimensional grids. - El Houssaine Quenjel; Abdelaziz Beljadid (Math. Comput. Simul., 2023)

Analysis of second-order temporal schemes for modeling flow-solute transport in unsaturated porous media. - Nour-eddine Toutlini; Abdelaziz Beljadid; Azzeddine Soulaïmani (CoRR, 2024)

Implicit EXP-RBF techniques for modeling unsaturated flow through soils with water uptake by plant roots. - Mohamed Boujoudar; Abdelaziz Beljadid; Ahmed Taik (CoRR, 2024)

A well-balanced and positivity-preserving numerical model for overland flow under vegetation effects. - Hasan Karjoun; Abdelaziz Beljadid (Math. Comput. Simul., 2024)

LRBF meshless methods for predicting soil moisture distribution in root zone. - Mohamed Boujoudar; Abdelaziz Beljadid; Ahmed Taik (Comput. Math. Appl., 2025)

A semi-implicit second-order temporal scheme for solving the pressure head-based form of Richards' and advection-dispersion equations. - Nour-eddine Toutlini; Abdelaziz Beljadid; Azzeddine Soulaïmani (Comput. Math. Appl., 2025)

Physics-informed neural operators for efficient modeling of infiltration in porous media. - Hamza Kamil; Azzeddine Soulaïmani; Abdelaziz Beljadid (J. Comput. Phys., 2025)

A semi-implicit method for modeling salinity and temperature in variable-density flow. - Amine Hanini; Abdelaziz Beljadid (Math. Comput. Simul., 2025)