Stable Numerical Solutions Preserving Qualitative Properties of Nonlocal Biological Dynamic Problems

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dc.contributor.affiliationFacultad de Administración y Dirección de Empresas
dc.contributor.affiliationDepartamento de Matemática Aplicada
dc.contributor.affiliationInstituto Universitario de Matemática Multidisciplinar
dc.contributor.affiliationEscuela Técnica Superior de Ingeniería de Caminos, Canales y Puertos
dc.contributor.authorPiqueras-García, Miguel Ángeles_ES
dc.contributor.authorCompany Rossi, Rafael
dc.contributor.authorJódar Sánchez, Lucas Antonio
dc.contributor.funderAgencia Estatal de Investigaciónes_ES
dc.date.accessioned2020-03-24T06:14:13Z
dc.date.available2020-03-24T06:14:13Z
dc.date.issued2019-07-01es_ES
dc.description.abstract[EN] This paper deals with solving numerically partial integrodifferential equations appearing in biological dynamics models when nonlocal interaction phenomenon is considered. An explicit finite difference scheme is proposed to get a numerical solution preserving qualitative properties of the solution. Gauss quadrature rules are used for the computation of the integral part of the equation taking advantage of its accuracy and low computational cost. Numerical analysis including consistency, stability, and positivity is included as well as numerical examples illustrating the efficiency of the proposed method.en_EN
dc.description.accrualMethodSes_ES
dc.description.bibliographicCitationPiqueras-García, MÁ.; Company Rossi, R.; Jódar Sánchez, LA. (2019). Stable Numerical Solutions Preserving Qualitative Properties of Nonlocal Biological Dynamic Problems. Abstract and Applied Analysis. 2019:1-7. https://doi.org/10.1155/2019/5787329es_ES
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dc.description.sponsorshipThis work has been partially supported by the Ministerio de Economía y Competitividad Spanish grant MTM2017-89664-P.es_ES
dc.description.upvformatpfin7es_ES
dc.description.upvformatpinicio1es_ES
dc.description.volume2019es_ES
dc.identifier.doi10.1155/2019/5787329es_ES
dc.identifier.issn1085-3375es_ES
dc.identifier.urihttps://riunet.upv.es/handle/10251/139239
dc.languageIngléses_ES
dc.publisherHindawi Limitedes_ES
dc.relation.ispartofAbstract and Applied Analysises_ES
dc.relation.pasarelaS\390418es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-89664-P/ES/PROBLEMAS DINAMICOS CON INCERTIDUMBRE SIMULABLE: MODELIZACION MATEMATICA, ANALISIS, COMPUTACION Y APLICACIONES/es_ES
dc.relation.publisherversionhttps://doi.org/10.1155/2019/5787329es_ES
dc.relation.references10.1137/1004004es_ES
dc.relation.references10.1016/0001-8708(78)90130-5es_ES
dc.relation.references10.1088/0951-7715/22/12/002es_ES
dc.relation.references10.1073/pnas.231499798es_ES
dc.relation.references10.1002/mma.2698es_ES
dc.relation.references10.1111/j.1469-1809.1937.tb02153.xes_ES
dc.relation.references10.1007/BF00276081es_ES
dc.relation.references10.1051/mmnp:2006004es_ES
dc.relation.references10.1016/j.mcm.2008.07.018es_ES
dc.relation.references10.1088/0951-7715/27/11/2735es_ES
dc.relation.references10.1016/j.enganabound.2013.10.002es_ES
dc.relation.references10.1016/j.amc.2017.03.017es_ES
dc.relation.references10.3934/dcdsb.2010.13.537es_ES
dc.relation.references10.1007/s00285-002-0169-3es_ES
dc.relation.references10.1007/s00285-007-0078-6es_ES
dc.rightsReconocimiento (by)es_ES
dc.rights.accessRightsAbiertoes_ES
dc.subject.classificationMATEMATICA APLICADAes_ES
dc.titleStable Numerical Solutions Preserving Qualitative Properties of Nonlocal Biological Dynamic Problemses_ES
dc.typeArtículoes_ES
dc.type.versioninfo:eu-repo/semantics/publishedVersiones_ES
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