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math.NA2025
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…
math.NA2025
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…
math.AP2025
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…