Efficient Numerical Schemes for a Two-Species Keller-Segel Model and Investigation of Its Blowup Phenomena in 3D.
- Resource Type
- Article
- Authors
- Huang, Xueling; Shen, Jie
- Source
- Acta Applicandae Mathematicae. 4/10/2024, Vol. 190 Issue 1, p1-23. 23p.
- Subject
- *CONSERVATION of mass
*BLOWING up (Algebraic geometry)
*ENERGY dissipation
*MATHEMATICAL sequences
*POPULATION density
*THREE-dimensional modeling
- Language
- ISSN
- 0167-8019
We consider in this paper numerical approximation and simulation of a two-species Keller-Segel model. The model enjoys an energy dissipation law, mass conservation and bound or positivity preserving for the population density of two species. We construct a class of very efficient numerical schemes based on the generalized scalar auxiliary variable with relaxation which preserve unconditionally the essential properties of the model at the discrete level. We conduct a sequence of numerical tests to validate the properties of these schemes, and to study the blow-up phenomena of the model in a three-dimensional domain in parabolic-elliptic form and parabolic-parabolic form. [ABSTRACT FROM AUTHOR]