A front-fixing numerical method for a free boundary nonlinear diffusion logistic population model

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:309

Article; Proceedings Paper

Piqueras, M. -A.¹  Company, R.¹  Jodar, L.¹ 

[1] Univ Politecn Valencia, Inst Matemat Multidisciplinar, Camino Vera S-N, E-46022 Valencia, Spain

关键词: Diffusive logistic population model;    Moving boundary;    Stefan condition;    Finite difference;    Numerical analysis;    Computing simulation;   

DOI  :  10.1016/j.cam.2016.02.029

来源: Elsevier

【 摘 要 】

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. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

Free