Piqueras-García, MÁ.; Company Rossi, R.; Jódar Sánchez, LA. (2017). A front-fixing numerical method for a free boundary nonlinear diffusion logistic population model. Journal of Computational and Applied Mathematics. 309:473-481. https://doi.org/10.1016/j.cam.2016.02.029
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/105531
[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 ...[+]
[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.[-]
Mathematical Modelling in Engineering & Human Behaviour 2015. 17th Edition of the Mathematical Modelling Conference Series at the Institute for Multidisciplinary Mathematics
This work has been partially supported by the European Union in the FP7-PEOPLE-2012-ITN program under Grant Agreement Number 304617 (FP7 Marie Curie Action, Project Multi-ITN STRIKE-Novel Methods in Computational Finance) ...[+]
This work has been partially supported by the European Union in the FP7-PEOPLE-2012-ITN program under Grant Agreement Number 304617 (FP7 Marie Curie Action, Project Multi-ITN STRIKE-Novel Methods in Computational Finance) and the Ministerio de Economía y Competitividad Spanish grant MTM 2013-41765-P.[-]