A front-fixing numerical method for a free boundary nonlinear diffusion logistic population model
[EN] 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 approa...
| Authors: | , , |
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| Format: | article |
| Publication Date: | 2017 |
| Country: | España |
| Institution: | Universitat Politècnica de València (UPV) |
| Repository: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Language: | English |
| OAI Identifier: | oai:riunet.upv.es:10251/105531 |
| Online Access: | https://riunet.upv.es/handle/10251/105531 |
| Access Level: | Open access |
| Keyword: | Diffusive logistic population model Moving boundary Stefan condition Finite difference Numerical analysis Computing simulation MATEMATICA APLICADA |
| Summary: | [EN] 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. |
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