KMS Of Academy of mathematics and systems sciences, CAS
| A linearized ADI scheme for two-dimensional time-space fractional nonlinear vibration equations | |
| Zhang, Jingna1; Huang, Jianfei1; Aleroev, Temirkhan S.2; Tang, Yifa3,4 | |
| 2021-03-13 | |
| Source Publication | INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
 |
| ISSN | 0020-7160 |
| Pages | 15 |
| Abstract | A nonlinear initial boundary value problem with a time Caputo derivative of fractional-order beta is an element of (1, 2) and a space Riesz derivative of fractional-order alpha is an element of (1, 2) is considered. A linearized alternating direction implicit (ADI) scheme for this problem is constructed and analysed. First, we use the classical central difference formula and a new 3 - beta-order formula to approximate the second-order derivative and the Caputo derivative in temporal direction, respectively. Meanwhile, the central difference quotient and fractional central difference formula are applied to deal with the spatial discretizations. Then, the proposed ADI scheme is proved unconditionally stable and convergent with the 3 - beta-order accuracy in time and the second-order accuracy in space. Furthermore, the effectiveness of the ADI scheme and theoretical findings are illustrated by numerical experiments. |
| Keyword | Time-space fractional nonlinear vibration equations two dimensions linearized ADI scheme stability convergence |
| DOI | 10.1080/00207160.2021.1897113 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[11701502] ; National Natural Science Foundation of China[11871065] ; Natural Science Foundation of Jiangsu Province of China[BK20201427] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000628036300001 |
| Publisher | TAYLOR & FRANCIS LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/58231 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Huang, Jianfei |
| Affiliation | 1.Yangzhou Univ, Coll Math Sci, Yangzhou 225002, Jiangsu, Peoples R China 2.Moscow State Univ Civil Engn, Moscow, Russia 3.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China |
| Recommended Citation GB/T 7714 | Zhang, Jingna,Huang, Jianfei,Aleroev, Temirkhan S.,et al. A linearized ADI scheme for two-dimensional time-space fractional nonlinear vibration equations[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,2021:15. |
| APA | Zhang, Jingna,Huang, Jianfei,Aleroev, Temirkhan S.,&Tang, Yifa.(2021).A linearized ADI scheme for two-dimensional time-space fractional nonlinear vibration equations.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,15. |
| MLA | Zhang, Jingna,et al."A linearized ADI scheme for two-dimensional time-space fractional nonlinear vibration equations".INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS (2021):15. |
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