Article ID Journal Published Year Pages File Type
4637826 Journal of Computational and Applied Mathematics 2017 9 Pages PDF
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
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