A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations
文献类型：期刊论文
| 作者 | Liao, Hong-lin1; Tang, Tao2,3,4; Zhou, Tao5,6 |
| 刊名 | JOURNAL OF COMPUTATIONAL PHYSICS
 |
| 出版日期 | 2020-08-01 |
| 卷号 | 414页码:16 |
| 关键词 | Time-fractional Allen-Cahn equation Alikhanov formula Adaptive time-stepping strategy Discrete maximum principle Sharp error estimate |
| ISSN号 | 0021-9991 |
| DOI | 10.1016/j.jcp.2020.109473 |
| 英文摘要 | In this work, we present a second-order nonuniform time-stepping scheme for the time-fractional Allen-Cahn equation. We show that the proposed scheme preserves the discrete maximum principle, and by using the convolution structure of consistency error, we present sharp maximum-norm error estimates which reflect the temporal regularity. As our analysis is built on nonuniform time steps, we may resolve the intrinsic initial singularity by using the graded meshes. Moreover, we propose an adaptive time-stepping strategy for large time simulations. Numerical experiments are presented to show the effectiveness of the proposed scheme. This seems to be the first second-order maximum principle preserving scheme for the time-fractional Allen-Cahn equation. (c) 2020 Elsevier Inc. All rights reserved. |
| 资助项目 | NUAA Scientific Research Starting Fund of Introduced Talent[1008-56SYAH18037] ; NSF of China[11822111] ; NSF of China[11688101] ; NSF of China[91630203] ; NSF of China[11571351] ; NSF of China[11731006] ; Science Challenge Project[TZ2018001] ; NCMIS ; Youth Innovation Promotion Association, CAS |
| WOS研究方向 | Computer Science ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000536532800011 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51472]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhou, Tao |
| 作者单位 | 1.Nanjing Univ Aeronut & Astronaut, Dept Math, Nanjing 211106, Peoples R China 2.Southern Univ Sci & Technol, Dept Math, Shenzhen, Guangdong, Peoples R China 3.Southern Univ Sci & Technol, Int Ctr Math, Shenzhen, Guangdong, Peoples R China 4.BNU HKBU United Int Coll, Div Sci & Technol, Zhuhai, Guangdong, Peoples R China 5.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, NCMIS, Beijing 100190, Peoples R China 6.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liao, Hong-lin,Tang, Tao,Zhou, Tao. A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2020,414:16. |
| APA | Liao, Hong-lin,Tang, Tao,&Zhou, Tao.(2020).A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations.JOURNAL OF COMPUTATIONAL PHYSICS,414,16. |
| MLA | Liao, Hong-lin,et al."A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations".JOURNAL OF COMPUTATIONAL PHYSICS 414(2020):16. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。