A Reduced-Order Finite Difference Scheme Based on POD for Fractional Stochastic Advection-Diffusion Equation
| dc.authorscopusid | 57201910014 | |
| dc.authorscopusid | 16041483900 | |
| dc.authorscopusid | 7005872966 | |
| dc.authorwosid | Soori, Zoleikha/Aae-5961-2022 | |
| dc.authorwosid | Baleanu, Dumitru/B-9936-2012 | |
| dc.contributor.author | Soori, Z. | |
| dc.contributor.author | Aminataei, A. | |
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.date.accessioned | 2023-11-23T08:06:37Z | |
| dc.date.available | 2023-11-23T08:06:37Z | |
| dc.date.issued | 2023 | |
| dc.department | Çankaya University | en_US |
| dc.department-temp | [Soori, Z.; Aminataei, A.] KN Toosi Univ Technol, Dept Math, Tehran, Iran; [Baleanu, D.] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkiye; [Baleanu, D.] Lebanese Amer Univ, Beirut, Lebanon | en_US |
| dc.description.abstract | his 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 (0 <a<1). 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. | en_US |
| dc.description.publishedMonth | 8 | |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| 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. | en_US |
| dc.identifier.doi | 10.1007/s40995-023-01490-y | |
| dc.identifier.endpage | 1311 | en_US |
| dc.identifier.issn | 2731-8095 | |
| dc.identifier.issn | 2731-8109 | |
| dc.identifier.issue | 4 | en_US |
| dc.identifier.scopus | 2-s2.0-85164131200 | |
| dc.identifier.scopusquality | Q4 | |
| dc.identifier.startpage | 1299 | en_US |
| dc.identifier.uri | https://doi.org/10.1007/s40995-023-01490-y | |
| dc.identifier.volume | 47 | en_US |
| dc.identifier.wos | WOS:001024860400001 | |
| dc.identifier.wosquality | N/A | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer int Publ Ag | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.scopus.citedbyCount | 4 | |
| dc.subject | Fractional Stochastic Advection-Diffusion Equation | en_US |
| dc.subject | Implicit Finite Difference Scheme | en_US |
| dc.subject | Proper Orthogonal Decomposition Method | en_US |
| dc.subject | Reduced Implicit Finite Difference Scheme | en_US |
| dc.title | A Reduced-Order Finite Difference Scheme Based on POD for Fractional Stochastic Advection-Diffusion Equation | tr_TR |
| dc.title | A Reduced-Order Finite Difference Scheme Based on Pod for Fractional Stochastic Advection-Diffusion Equation | en_US |
| dc.type | Article | en_US |
| dc.wos.citedbyCount | 4 | |
| dspace.entity.type | Publication |