Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4637826 | Journal of Computational and Applied Mathematics | 2017 | 9 Pages |
Abstract
The spatial–temporal spreading of a new invasive species in a habitat has interest in ecology and is modeled by a moving boundary diffusion logistic partial differential problem, where the moving boundary represents the unknown expanding front of the species. In this paper a front-fixing approach is applied in order to transform the original moving boundary problem into a fixed boundary one. A finite difference method preserving qualitative properties of the theoretical solution is proposed. Results are illustrated with numerical experiments.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
M.-A. Piqueras, R. Company, L. Jódar,