Analytic solution to the generalized delay diffusion equation with uncertain inputs in the random Lebesgue sense

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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.authorCortés, J.-C.
dc.contributor.authorJornet, Marces_ES
dc.contributor.funderAgencia Estatal de Investigaciónes_ES
dc.contributor.funderEuropean Regional Development Fundes_ES
dc.date.accessioned2021-02-06T04:33:39Z
dc.date.available2021-02-06T04:33:39Z
dc.date.issued2021-01-30es_ES
dc.description.abstract[EN] In this paper, we deal with the randomized generalized diffusion equation with delay:u(t)(t, x) = a(2)u(xx)(t, x) + b(2)u(xx)(t - tau, x),t > tau,0 <= x <= l;u(t,0)=u(t,l)=0,t >= 0;u(t,x)=phi(t,x),0 <= t <= tau,0 <= x <= l. Here,tau > 0andl > 0are constant. The coefficientsa(2)andb(2)are nonnegative random variables, and the initial condition phi(t, x)and the solutionu(t, x)are random fields. The separation of variables method develops a formal series solution. We prove that the series satisfies the delay diffusion problem in the random Lebesgue sense rigorously. By truncating the series, the expectation and the variance of the random-field solution can be approximated.en_EN
dc.description.accrualMethodSes_ES
dc.description.bibliographicCitationCortés, J.; Jornet, M. (2021). Analytic solution to the generalized delay diffusion equation with uncertain inputs in the random Lebesgue sense. Mathematical Methods in the Applied Sciences. 44(2):2265-2272. https://doi.org/10.1002/mma.6921es_ES
dc.description.issue2es_ES
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dc.description.sponsorshipSecretaria de Estado de Investigacion, Desarrollo e Innovacion, Grant/Award Number: MTM2017-89664-P; Spanish Ministerio de Economia, Industria y Competitividad (MINECO); Agencia Estatal de Investigacion (AEI); Fondo Europeo de Desarrollo Regional (FEDER UE), Grant/Award Number: MTM2017-89664-Pes_ES
dc.description.upvformatpfin2272es_ES
dc.description.upvformatpinicio2265es_ES
dc.description.volume44es_ES
dc.identifier.doi10.1002/mma.6921es_ES
dc.identifier.issn0170-4214es_ES
dc.identifier.urihttps://riunet.upv.es/handle/10251/160829
dc.languageIngléses_ES
dc.publisherJohn Wiley & Sonses_ES
dc.relation.ispartofMathematical Methods in the Applied Scienceses_ES
dc.relation.pasarelaS\418101es_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/10.1002/mma.6921es_ES
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dc.rightsReserva de todos los derechoses_ES
dc.rights.accessRightsAbiertoes_ES
dc.subjectExpectation and variance approximationes_ES
dc.subjectRandom generalized diffusion equation with delayes_ES
dc.subjectRandom Lebesgue calculuses_ES
dc.subjectSeries solutiones_ES
dc.subjectUncertainty quantificationes_ES
dc.subject.classificationMATEMATICA APLICADAes_ES
dc.titleAnalytic solution to the generalized delay diffusion equation with uncertain inputs in the random Lebesgue sensees_ES
dc.typeArtículoes_ES
dc.type.versioninfo:eu-repo/semantics/publishedVersiones_ES
dspace.entity.typePublication
person.identifier11216
person.identifier.orcid0000-0002-6528-2155
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