- Title
- A numerical scheme for non-local aggregation with non-linear diffusion and approximations of social potential
- Creator
- Georgiou, Fillipe Harry; Lamichhane, Bishnu; Thamwattana, Natalie; Buhl, Jerome; Green, Edward
- Relation
- ANZIAM Journal Vol. 62, Issue 2022, p. C242-C255
- Publisher Link
- http://dx.doi.org/10.21914/anziamj.v62.16056
- Publisher
- Cambridge University Press
- Resource Type
- journal article
- Date
- 2022
- Description
- Aggregations abound in nature, from cell formations to locust swarms. One method of modelling these aggregations is the non-local aggregation equation with the addition of degenerate diffusion. In this article we develop a finite volume based numerical scheme for this style of equation and perform an error, computation time, and convergence analysis. In addition we investigate two methods for approximating the non-local component.
- Subject
- non-local partial differential equations; social potential; finite volume method; non-linear diffusion
- Identifier
- http://hdl.handle.net/1959.13/1478461
- Identifier
- uon:50182
- Identifier
- ISSN:1446-1811
- Language
- eng
- Reviewed
- Hits: 1205
- Visitors: 1205
- Downloads: 0
| Thumbnail | File | Description | Size | Format |
|---|