Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4638043 | Journal of Computational and Applied Mathematics | 2016 | 16 Pages |
Abstract
The aim of this work is to investigate the application of partial moment approximations to kinetic chemotaxis equations in one and two spatial dimensions. Starting with a kinetic equation for the cell densities we apply a half-/quarter-moments method with different closure relations to derive macroscopic equations. Appropriate numerical schemes are presented as well as numerical results for several test cases. The resulting solutions are compared to kinetic reference solutions and solutions computed using a full moment method with a linear superposition strategy.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Juliane Ritter, Axel Klar, Florian Schneider,