Spatial Discretization for Stochastic Semi-Linear Subdiffusion Equations Driven by Fractionally Integrated Multiplicative Space-Time White Noise
dc.contributor.author | Yan, Yubin | |
dc.contributor.author | Hoult, James | |
dc.contributor.author | Wang, Junmei | |
dc.date.accessioned | 2021-10-01T09:19:28Z | |
dc.date.available | 2021-10-01T09:19:28Z | |
dc.date.issued | 2021-08-12 | |
dc.identifier | https://chesterrep.openrepository.com/bitstream/handle/10034/626003/wanhouyan.pdf?sequence=1 | |
dc.identifier.citation | Wang, 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/math9161917 | en_US |
dc.identifier.issn | No print ISSN | |
dc.identifier.doi | 10.3390/math9161917 | |
dc.identifier.uri | http://hdl.handle.net/10034/626003 | |
dc.description.abstract | Spatial 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.publisher | MDPI | en_US |
dc.relation.url | https://www.mdpi.com/2227-7390/9/16/1917 | en_US |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | en_US |
dc.subject | semi-linear | en_US |
dc.subject | space-time white noise | en_US |
dc.subject | Caputo fractional derivative | en_US |
dc.subject | fractionally integrated additive noise | en_US |
dc.subject | error estimates | en_US |
dc.title | Spatial Discretization for Stochastic Semi-Linear Subdiffusion Equations Driven by Fractionally Integrated Multiplicative Space-Time White Noise | en_US |
dc.type | Article | en_US |
dc.identifier.eissn | 2227-7390 | en_US |
dc.contributor.department | University of Chester; LuLiang University | en_US |
dc.identifier.journal | Mathematics | en_US |
or.grant.openaccess | Yes | en_US |
rioxxterms.funder | unfunded | en_US |
rioxxterms.identifier.project | unfunded | en_US |
rioxxterms.version | AM | en_US |
rioxxterms.versionofrecord | 10.3390/math9161917 | en_US |
dcterms.dateAccepted | 2021-08-03 | |
rioxxterms.publicationdate | 2021-08-12 | |
dc.date.deposited | 2021-10-01 | en_US |
dc.indentifier.issn | No print ISSN | en_US |