High-accuracy finite element method for 2D time fractional diffusion-wave equation on anisotropic meshes
文献类型：期刊论文
| 作者 | Zhang, Y. D.1; Zhao, Y. M.1; Wang, F. L.1; Tang, Y. F.2,3 |
| 刊名 | INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
 |
| 出版日期 | 2018 |
| 卷号 | 95期号:1页码:218-230 |
| 关键词 | Time fractional diffusion-wave equation finite element method Crank-Nicolson scheme stability convergence and superconvergence |
| ISSN号 | 0020-7160 |
| DOI | 10.1080/00207160.2017.1401708 |
| 英文摘要 | Employing finite element method in spatial direction and Crank-Nicolson scheme in temporal direction, a fully discrete scheme with high accuracy is established for a class of two-dimensional time fractional diffusion-wave equation with Caputo fractional derivative. Unconditional stability analysis of the approximate scheme is proposed. The spatial global superconvergence and temporal convergence of order O(h(2) + tau(3-alpha)) for the original variable in H-1-norm is presented by means of properties of bilinear element and interpolation postprocessing technique without Ritz projection, where h and tau are the step sizes in space and time, respectively. Finally, several numerical results are implemented to evaluate the efficiency of the theoretical results on both regular and anisotropic meshes. |
| 资助项目 | National Natural Science Foundation of China[11101381] ; National Natural Science Foundation of China[11771438] ; Outstanding Young Talents Training Plan by Xuchang University |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000428749300014 |
| 出版者 | TAYLOR & FRANCIS LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/30057]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhao, Y. M. |
| 作者单位 | 1.Xuchang Univ, Sch Math & Stat, Xuchang, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Y. D.,Zhao, Y. M.,Wang, F. L.,et al. High-accuracy finite element method for 2D time fractional diffusion-wave equation on anisotropic meshes[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,2018,95(1):218-230. |
| APA | Zhang, Y. D.,Zhao, Y. M.,Wang, F. L.,&Tang, Y. F..(2018).High-accuracy finite element method for 2D time fractional diffusion-wave equation on anisotropic meshes.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,95(1),218-230. |
| MLA | Zhang, Y. D.,et al."High-accuracy finite element method for 2D time fractional diffusion-wave equation on anisotropic meshes".INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 95.1(2018):218-230. |
入库方式： OAI收割
来源：数学与系统科学研究院
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