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

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

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dc.contributor.author Cortés, J.-C. es_ES
dc.contributor.author Jornet, Marc es_ES
dc.date.accessioned 2021-02-06T04:33:39Z
dc.date.available 2021-02-06T04:33:39Z
dc.date.issued 2021-01-30 es_ES
dc.identifier.issn 0170-4214 es_ES
dc.identifier.uri http://hdl.handle.net/10251/160829
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. es_ES
dc.description.sponsorship Secretaria 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-P es_ES
dc.language Inglés es_ES
dc.publisher John Wiley & Sons es_ES
dc.relation.ispartof Mathematical Methods in the Applied Sciences es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Expectation and variance approximation es_ES
dc.subject Random generalized diffusion equation with delay es_ES
dc.subject Random Lebesgue calculus es_ES
dc.subject Series solution es_ES
dc.subject Uncertainty quantification es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Analytic solution to the generalized delay diffusion equation with uncertain inputs in the random Lebesgue sense es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1002/mma.6921 es_ES
dc.relation.projectID info: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.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Cortés, 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.6921 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1002/mma.6921 es_ES
dc.description.upvformatpinicio 2265 es_ES
dc.description.upvformatpfin 2272 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 44 es_ES
dc.description.issue 2 es_ES
dc.relation.pasarela S\418101 es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
dc.contributor.funder European Regional Development Fund es_ES
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