4 papers
Error Estimates of Generic Discretisation of Reaction-Diffusion System with Constraints
Yahya Alnashri
In this paper, we study a parabolic reaction diffusion system with constraints that model biofilm growth. Within a unified framework encompassing multiple numerical schemes, we der…
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…
General Error Estimates of Non Conforming Approximation of System of Reaction-Diffusion Equations
Yahya Alnashri
This paper aims to establish a first general error estimate for numerical approximations of the system of reaction-diffusion equations (SRDEs), using reasonable regularity assumpti…
A generic Scheme For the time-dependent Navier-Stokes Equation Coupled With The Heat Equation
Yahya Alnashri
In this work, we study the gradient discretisation method (GDM) of the time-dependent Navier-Stokes equations coupled with the heat equation, where the viscosity depends on the tem…