Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations
文献类型：期刊论文
| 作者 | Zhao, Yanmin1,2; Zhang, Yadong1; Liu, F.2; Turner, I.2; Tang, Yifa3 ; Anh, V.2
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| 刊名 | COMPUTERS & MATHEMATICS WITH APPLICATIONS
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| 出版日期 | 2017-03-15 |
| 卷号 | 73期号:6页码:1087-1099 |
| 关键词 | Multi-term time-fractional diffusion equation Finite element method L1 approximation Stability Convergence and superconvergence |
| ISSN号 | 0898-1221 |
| DOI | 10.1016/j.camwa.2016.05.005 |
| 英文摘要 | Using finite element method in spatial direction and classical L1 approximation in temporal direction, a fully-discrete scheme is established for a class of two-dimensional multi-term time fractional diffusion equations with Caputo fractional derivatives. The stability analysis of the approximate scheme is proposed. The spatial global superconvergence and temporal convergence of order O(h(2) + tau(2-alpha)) for the original variable in H-1-norm is presented by means of properties of bilinear element and interpolation postprocessing technique, where h and tau are the step sizes in space and time, respectively. Finally, several numerical examples are implemented to evaluate the efficiency of the theoretical results. (C) 2016 Elsevier Ltd. All rights reserved. |
| 资助项目 | China Scholarship Council[201308410260] ; National Natural Science Foundation of China[11101381] ; National Natural Science Foundation of China[11371357] ; National Natural Science Foundation of China[11301040] ; Outstanding Young Talents Training Plan by Xuchang University |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000398875300019 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/25127]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Liu, F. |
| 作者单位 | 1.Xuchang Univ, Sch Math & Stat, Xuchang 461000, Peoples R China 2.Queensland Univ Technol, Sch Math Sci, GPO Box 2434, Brisbane, Qld 4001, Australia 3.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhao, Yanmin,Zhang, Yadong,Liu, F.,et al. Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2017,73(6):1087-1099. |
| APA | Zhao, Yanmin,Zhang, Yadong,Liu, F.,Turner, I.,Tang, Yifa,&Anh, V..(2017).Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations.COMPUTERS & MATHEMATICS WITH APPLICATIONS,73(6),1087-1099. |
| MLA | Zhao, Yanmin,et al."Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations".COMPUTERS & MATHEMATICS WITH APPLICATIONS 73.6(2017):1087-1099. |
入库方式： OAI收割
来源：数学与系统科学研究院
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