Finite element approximation of a Keller–Segel model with additional self-and cross-diffusion terms and a logistic source
SM Hassan, AJ Harfash - … in Nonlinear Science and Numerical Simulation, 2022 - Elsevier
A fully finite element approximation of the Keller–Segel model, including self-and cross-
diffusion terms and a logistic source, has been considered. The existence of a fully finite …
diffusion terms and a logistic source, has been considered. The existence of a fully finite …
A gradient discretisation method for anisotropic reaction–diffusion models with applications to the dynamics of brain tumors
A gradient discretisation method (GDM) is an abstract setting that designs the unified
convergence analysis of several numerical methods for partial differential equations and …
convergence analysis of several numerical methods for partial differential equations and …
[HTML][HTML] Convergence of numerical schemes for convection–diffusion–reaction equations on generic meshes
Using the gradient discretisation method (GDM), we provide a generic convergence of
numerical approximations for convection diffusion model with non linear reaction term. The …
numerical approximations for convection diffusion model with non linear reaction term. The …
[PDF][PDF] Results in Applied Mathematics
Y Alnashri, H Alzubaidi - 2023 - researchgate.net
abstract Using the gradient discretisation method (GDM), we provide a generic convergence
of numerical approximations for convection diffusion model with non linear reaction term …
of numerical approximations for convection diffusion model with non linear reaction term …
Mathematical Modeling of Potassium Modulated Viral Infection
ZE Mather - 2022 - search.proquest.com
In recent years, there is a growing interest in the investigation of using potassium to treat
virus infections. In the region of infection, there is a biological observation of extracellular …
virus infections. In the region of infection, there is a biological observation of extracellular …
Positivity-Preserving Segregate-Flux Method for Infiltration Dynamics in Tumor Growth Models
GD Acheampong - 2020 - search.proquest.com
We study the positivity preserving property and an incompressibility condition in a recently
proposed tumor growth model as well as its numerical simulations. In this model, the …
proposed tumor growth model as well as its numerical simulations. In this model, the …