A Fourth Order Finite Difference Method for Time-Space Fractional Diffusion Equations
| dc.authorid | Arshad, Sadia/0000-0001-9085-5915 | |
| dc.authorscopusid | 37002646400 | |
| dc.authorscopusid | 7005872966 | |
| dc.authorscopusid | 55763025200 | |
| dc.authorscopusid | 12243763700 | |
| dc.authorscopusid | 58366176900 | |
| dc.authorwosid | Huang, Jianfei/Aae-4368-2020 | |
| dc.authorwosid | Baleanu, Dumitru/B-9936-2012 | |
| dc.authorwosid | Arshad, Sadia/Aan-3684-2020 | |
| dc.contributor.author | Arshad, Sadia | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Huang, Jianfei | |
| dc.contributor.author | Tang, Yifa | |
| dc.contributor.author | Zhao, Yue | |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.contributor.other | Matematik | |
| dc.date.accessioned | 2020-03-18T13:48:41Z | |
| dc.date.available | 2020-03-18T13:48:41Z | |
| dc.date.issued | 2018 | |
| dc.department | Çankaya University | en_US |
| dc.department-temp | [Arshad, Sadia] COMSATS Univ Islamabad, Lahore, Pakistan; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Huang, Jianfei] Yangzhou Univ, Coll Math Sci, Yangzhou 225002, Jiangsu, Peoples R China; [Arshad, Sadia; Tang, Yifa; Zhao, Yue] Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China; [Tang, Yifa; Zhao, Yue] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China; [Baleanu, Dumitru] Inst Space Sci, Magurele 077125, Romania; [Baleanu, Dumitru] Tshwane Univ Technol, Fac Sci, Dept Math & Stat, Arcadia Campus,Bldg 2-117,Nelson Mandela Dr, ZA-0001 Pretoria, South Africa | en_US |
| dc.description | Arshad, Sadia/0000-0001-9085-5915 | en_US |
| dc.description.abstract | A finite difference method for a class of time-space fractional diffusion equations is considered. The trapezoidal formula and a fourth-order fractional compact difference scheme are, respectively, used in temporal and spatial discretisations and the method stability is studied. Theoretical estimates of the convergence in the L-2 -norm are shown to be O(tau(2) + h(4)), where tau and h are time and space mesh sizes. Numerical examples confirm theoretical results. | en_US |
| dc.description.publishedMonth | 11 | |
| dc.description.sponsorship | Scientific and Technological Research Council of Turkey (TUBTAK) [TBAG-117F473]; National Natural Science Foundation of China [11701502, 11771438] | en_US |
| dc.description.sponsorship | Two of us (S.A. and D.B.) are supported by the Scientific and Technological Research Council of Turkey (TUBTAK) under the Grant No. TBAG-117F473. J.H. and Y.T. are supported by the National Natural Science Foundation of China under Grants Nos. 11701502 and 11771438, respectively. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.citation | Arshad, Sadia...et al. (2018). "A Fourth Order Finite Difference Method for Time-Space Fractional Diffusion Equations", East Asian Journal on Applied Mathematics, Vol. 8, No. 4, pp. 764-781. | en_US |
| dc.identifier.doi | 10.4208/eajam.280218.210518 | |
| dc.identifier.endpage | 781 | en_US |
| dc.identifier.issn | 2079-7362 | |
| dc.identifier.issn | 2079-7370 | |
| dc.identifier.issue | 4 | en_US |
| dc.identifier.scopus | 2-s2.0-85074306405 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.startpage | 764 | en_US |
| dc.identifier.uri | https://doi.org/10.4208/eajam.280218.210518 | |
| dc.identifier.volume | 8 | en_US |
| dc.identifier.wos | WOS:000456113500009 | |
| dc.identifier.wosquality | Q3 | |
| dc.language.iso | en | en_US |
| dc.publisher | Global Science Press | 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 Diffusion Equation | en_US |
| dc.subject | Riesz Derivative | en_US |
| dc.subject | High-Order Approximation | en_US |
| dc.subject | Stability | en_US |
| dc.subject | Convergence | en_US |
| dc.title | A Fourth Order Finite Difference Method for Time-Space Fractional Diffusion Equations | tr_TR |
| dc.title | A Fourth Order Finite Difference Method for Time-Space Fractional Diffusion Equations | en_US |
| dc.type | Article | en_US |
| dc.wos.citedbyCount | 4 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isAuthorOfPublication.latestForDiscovery | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isOrgUnitOfPublication | 26a93bcf-09b3-4631-937a-fe838199f6a5 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 26a93bcf-09b3-4631-937a-fe838199f6a5 |
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