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dc.contributor.authorYan, Yubin
dc.contributor.authorHoult, James
dc.contributor.authorWang, Junmei
dc.date.accessioned2021-10-01T09:19:28Z
dc.date.available2021-10-01T09:19:28Z
dc.date.issued2021-08-12
dc.identifierhttps://chesterrep.openrepository.com/bitstream/handle/10034/626003/wanhouyan.pdf?sequence=1
dc.identifier.citationWang, J., Hoult, J., Yan, Y. (2021). Spatial discretization for stochastic semi-linear subdiffusion equations driven by fractionally integrated multiplicative space-time white noise. Mathematics, 9(16), 1917. https://doi.org/10.3390/math9161917en_US
dc.identifier.issnNo print ISSN
dc.identifier.doi10.3390/math9161917
dc.identifier.urihttp://hdl.handle.net/10034/626003
dc.description.abstractSpatial discretization of the stochastic semilinear subdiffusion driven by integrated multiplicative space-time white noise is considered. The spatial discretization scheme discussed in Gy\"ongy \cite{gyo_space} and Anton et al. \cite{antcohque} for stochastic quasi-linear parabolic partial differential equations driven by multiplicative space-time noise is extended to the stochastic subdiffusion. The nonlinear terms $f$ and $\sigma$ satisfy the global Lipschitz conditions and the linear growth conditions. The space derivative and the integrated multiplicative space-time white noise are discretized by using finite difference methods. Based on the approximations of the Green functions which are expressed with the Mittag-Leffler functions, the optimal spatial convergence rates of the proposed numerical method are proved uniformly in space under the suitable smoothness assumptions of the initial values.en_US
dc.publisherMDPIen_US
dc.relation.urlhttps://www.mdpi.com/2227-7390/9/16/1917en_US
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en_US
dc.subjectsemi-linearen_US
dc.subjectspace-time white noiseen_US
dc.subjectCaputo fractional derivativeen_US
dc.subjectfractionally integrated additive noiseen_US
dc.subjecterror estimatesen_US
dc.titleSpatial Discretization for Stochastic Semi-Linear Subdiffusion Equations Driven by Fractionally Integrated Multiplicative Space-Time White Noiseen_US
dc.typeArticleen_US
dc.identifier.eissn2227-7390en_US
dc.contributor.departmentUniversity of Chester; LuLiang Universityen_US
dc.identifier.journalMathematicsen_US
or.grant.openaccessYesen_US
rioxxterms.funderunfundeden_US
rioxxterms.identifier.projectunfundeden_US
rioxxterms.versionAMen_US
rioxxterms.versionofrecord10.3390/math9161917en_US
dcterms.dateAccepted2021-08-03
rioxxterms.publicationdate2021-08-12
dc.date.deposited2021-10-01en_US
dc.indentifier.issnNo print ISSNen_US


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