A Fourth Order Finite Difference Method for Time-Space Fractional Diffusion Equations
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Huang, Jianfei | |
| dc.contributor.author | Tang, Yifa | |
| dc.contributor.author | Zhao, Yue | |
| dc.contributor.author | Arshad, Sadia | |
| dc.date.accessioned | 2020-03-18T13:48:41Z | |
| dc.date.accessioned | 2025-09-18T12:49:04Z | |
| dc.date.available | 2020-03-18T13:48:41Z | |
| dc.date.available | 2025-09-18T12:49:04Z | |
| dc.date.issued | 2018 | |
| 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.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.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.issn | 2079-7362 | |
| dc.identifier.issn | 2079-7370 | |
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| dc.identifier.uri | https://doi.org/10.4208/eajam.280218.210518 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12244 | |
| dc.language.iso | en | en_US |
| dc.publisher | Global Science Press | en_US |
| dc.relation.ispartof | East Asian Journal on Applied Mathematics | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| 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 | en_US |
| dc.title | A Fourth Order Finite Difference Method for Time-Space Fractional Diffusion Equations | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Arshad, Sadia/0000-0001-9085-5915 | |
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| gdc.author.wosid | Huang, Jianfei/Aae-4368-2020 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Arshad, Sadia/Aan-3684-2020 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [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 |
| gdc.description.endpage | 781 | en_US |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 764 | en_US |
| gdc.description.volume | 8 | en_US |
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| gdc.oaire.keywords | fractional diffusion equation | |
| gdc.oaire.keywords | convergence | |
| gdc.oaire.keywords | Finite difference methods for initial value and initial-boundary value problems involving PDEs | |
| gdc.oaire.keywords | high-order approximation | |
| gdc.oaire.keywords | stability | |
| gdc.oaire.keywords | Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.keywords | Riesz derivative | |
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