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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…
math.AP2021
Convergence Analysis For Non Linear System Of Parabolic Variational Inequalities
Yahya Alnashri
This work aims to provide a comprehensive and unified numerical analysis for non linear system of parabolic variational inequalities (PVIs) subject to Dirichlet boundary condition.…
math.AP2020
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…