A corrected decoupled scheme for chemotaxis models
Numerical Analysis
2020-02-27 v1 Numerical Analysis
Abstract
The main purpose of this paper is to present a new corrected decoupled scheme combined with a spatial finite volume method for chemotaxis models. First, we derive the scheme for a parabolic-elliptic chemotaxis model arising in embryology. We then establish the existence and uniqueness of the numerical solution, and we prove that it converges to a corresponding weak solution for the studied model. In the last section, several numerical tests are presented by applying our approach to a number of chemotaxis systems. The obtained numerical results demonstrate the efficiency of the proposed scheme and its effectiveness to capture different forms of spatial patterns.
Keywords
Cite
@article{arxiv.2002.11673,
title = {A corrected decoupled scheme for chemotaxis models},
author = {M. Akhmouch and M. Benzakour Amine},
journal= {arXiv preprint arXiv:2002.11673},
year = {2020}
}