A gradient Discretisation Method For Anisotropic Reaction Diffusion Models with applications to the dynamics of brain tumours
Yahya Alnashri,
Hasan Alzubaidi
Abstract:A gradient discretisation method (GDM) is an abstract setting that designs the unified convergence analysis of several numerical methods for partial differential equations and their corresponding models. In this paper, we study the GDM for anisotropic reaction diffusion problems, based on a general reaction term, with Neumann and Dirichlet boundary conditions. With natural regularity assumptions on the exact solution, the framework enables us to provide proof of the existence of weak solutions for the problem,… Show more
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