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A Reduced-Order Finite Difference Scheme Based on POD for Fractional Stochastic Advection-Diffusion Equation

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dc.contributor.author Soori, Z.
dc.contributor.author Aminataei, A.
dc.contributor.author Baleanu, D.
dc.date.accessioned 2023-11-23T08:06:37Z
dc.date.available 2023-11-23T08:06:37Z
dc.date.issued 2023-08
dc.identifier.citation Soori, Z.; Aminataei, A.; Baleanu, D. (2023). "A Reduced-Order Finite Difference Scheme Based on POD for Fractional Stochastic Advection-Diffusion Equation", Iranian Journal Of Science, Vol.47, No.4, pp.1299-1311. tr_TR
dc.identifier.issn 2731-8095
dc.identifier.uri http://hdl.handle.net/20.500.12416/6590
dc.description.abstract This article introduces a new scheme for the fractional stochastic advection–diffusion equation (FSA-DE) in time where the fractional term is expressed in Caputo sence of order a ð0\a\1Þ. First, an L1 approximation is employed to estimate the Caputo derivative. Then, the spatial derivative is approximated by a second-order finite difference scheme. Moreover, we combine the implicit finite difference (IFD) scheme with the proper orthogonal decomposition (POD) method to reduce the used CPU time. In other words, the POD based reduced-order IFD scheme is obtained. The proposed scheme can be regarded as the modification of the exiting work (Mirzaee et al. in J Sci Technol Trans Sci 45:607–617, 2001). The numerical results are provided to confirm the feasibility and efficiency of the proposed method. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1007/s40995-023-01490-y tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Fractional Stochastic Advection–Diffusion Equation tr_TR
dc.subject Implicit Finite Difference Scheme tr_TR
dc.subject Proper Orthogonal Decomposition Method tr_TR
dc.subject Reduced İmplicit Finite Difference Scheme tr_TR
dc.title A Reduced-Order Finite Difference Scheme Based on POD for Fractional Stochastic Advection-Diffusion Equation tr_TR
dc.type article tr_TR
dc.relation.journal Iranian Journal Of Science tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 47 tr_TR
dc.identifier.issue 4 tr_TR
dc.identifier.startpage 1299 tr_TR
dc.identifier.endpage 1311 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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