5 papers
Error Estimates for Non Conforming Discretisation of Time-dependent Convection-Diffusion-Reaction Model
Hasan Alzubaidi, Yahya Alnashri
We use a generic framework, namely the gradient discretisation method (GDM), to propose a unified numerical analysis for general time-dependent convection-diffusion-reaction models…
Generic Numerical Analysis of Stochastic Reaction Diffusion Model with applications in excitable media
Yahya Alnashri, Hasan Alzubaidi
The stochastic reaction-diffusion model driven by a multiplicative noise is examined. We construct the gradient discretisation method (GDM), an abstract framework combining several…
The gradient discretisation method for the chemical reactions of biochemical systems
Yahya Alnashri, Hasan Alzubaidi
We consider a biochemical model that consists of a system of partial differential equations based on reaction terms and subject to non--homogeneous Dirichlet boundary conditions. T…
A gradient Discretisation Method For Anisotropic Reaction Diffusion Models with applications to the dynamics of brain tumours
Yahya Alnashri, Hasan Alzubaidi
A gradient discretisation method (GDM), Gradient schemes, Convergence analysis, Existence of weak solutions, Anisotropic reaction diffusion models, Dirichlet and Neumann boundary c…
A unified Analysis For Reaction Diffusion Models With Application To The Spiral Waves Dynamic Of The Barkley Model
Yahya Alnashri, Hasan Alzubaidi
Applying the gradient discretisation method (GDM), the paper develops a comprehensive numerical analysis for the reaction diffusion model. Using only three properties, this analysi…