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

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

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dc.contributor.author Piqueras-García, Miguel Ángel es_ES
dc.contributor.author Company Rossi, Rafael es_ES
dc.contributor.author Jódar Sánchez, Lucas Antonio es_ES
dc.date.accessioned 2018-07-09T06:40:27Z
dc.date.available 2018-07-09T06:40:27Z
dc.date.issued 2017 es_ES
dc.identifier.issn 0377-0427 es_ES
dc.identifier.uri http://hdl.handle.net/10251/105531
dc.description.abstract [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. es_ES
dc.description.sponsorship 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.
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation.ispartof Journal of Computational and Applied Mathematics es_ES
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Diffusive logistic population model es_ES
dc.subject Moving boundary es_ES
dc.subject Stefan condition es_ES
dc.subject Finite difference es_ES
dc.subject Numerical analysis es_ES
dc.subject Computing simulation es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title A front-fixing numerical method for a free boundary nonlinear diffusion logistic population model es_ES
dc.type Artículo es_ES
dc.type Comunicación en congreso es_ES
dc.identifier.doi 10.1016/j.cam.2016.02.029 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2013-41765-P/ES/METODOS COMPUTACIONALES PARA ECUACIONES DIFERENCIALES ALEATORIAS: TEORIA Y APLICACIONES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/EC/FP7/304617/EU/Novel Methods in Computational Finance/ es_ES
dc.rights.accessRights Abierto es_ES
dc.date.embargoEndDate 2019-01-01 es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation 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 es_ES
dc.description.accrualMethod S es_ES
dc.relation.conferencename Mathematical Modelling in Engineering & Human Behaviour 2015. 17th Edition of the Mathematical Modelling Conference Series at the Institute for Multidisciplinary Mathematics es_ES
dc.relation.conferencedate September 09-11,2015 es_ES
dc.relation.conferenceplace Valencia, Spain es_ES
dc.relation.publisherversion http://doi.org/10.1016/j.cam.2016.02.029 es_ES
dc.description.upvformatpinicio 473 es_ES
dc.description.upvformatpfin 481 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 309 es_ES
dc.relation.pasarela S\316412 es_ES
dc.contributor.funder European Commission es_ES
dc.contributor.funder Ministerio de Economía, Industria y Competitividad es_ES


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