KMS Of Academy of mathematics and systems sciences, CAS
| A Fourth Order Finite Difference Method for Time-Space Fractional Diffusion Equations | |
Arshad, Sadia1,4; Baleanu, Dumitru2,6,7; Huang, Jianfei3; Tang, Yifa4,5 ; Zhao, Yue4,5
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| 2018-11-01 | |
| Source Publication | EAST ASIAN JOURNAL ON APPLIED MATHEMATICS
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| ISSN | 2079-7362 |
| Volume | 8Issue:4Pages:764-781 |
| 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. |
| Keyword | Fractional diffusion equation Riesz derivative high-order approximation stability convergence |
| DOI | 10.4208/eajam.280218.210518 |
| Language | 英语 |
| Funding Project | Scientific and Technological Research Council of Turkey (TUBTAK)[TBAG-117F473] ; National Natural Science Foundation of China[11701502] ; National Natural Science Foundation of China[11771438] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000456113500009 |
| Publisher | GLOBAL SCIENCE PRESS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/32318 |
| Collection | 计算数学与科学工程计算研究所 |
| Corresponding Author | Arshad, Sadia; Tang, Yifa |
| Affiliation | 1.COMSATS Univ Islamabad, Lahore, Pakistan 2.Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey 3.Yangzhou Univ, Coll Math Sci, Yangzhou 225002, Jiangsu, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 5.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 6.Inst Space Sci, Magurele 077125, Romania 7.Tshwane Univ Technol, Fac Sci, Dept Math & Stat, Arcadia Campus,Bldg 2-117,Nelson Mandela Dr, ZA-0001 Pretoria, South Africa |
| Recommended Citation GB/T 7714 | Arshad, Sadia,Baleanu, Dumitru,Huang, Jianfei,et al. A Fourth Order Finite Difference Method for Time-Space Fractional Diffusion Equations[J]. EAST ASIAN JOURNAL ON APPLIED MATHEMATICS,2018,8(4):764-781. |
| APA | Arshad, Sadia,Baleanu, Dumitru,Huang, Jianfei,Tang, Yifa,&Zhao, Yue.(2018).A Fourth Order Finite Difference Method for Time-Space Fractional Diffusion Equations.EAST ASIAN JOURNAL ON APPLIED MATHEMATICS,8(4),764-781. |
| MLA | Arshad, Sadia,et al."A Fourth Order Finite Difference Method for Time-Space Fractional Diffusion Equations".EAST ASIAN JOURNAL ON APPLIED MATHEMATICS 8.4(2018):764-781. |
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