A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations

doi:10.1016/j.jcp.2020.109473

CSpace

	A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations
	Liao, Hong-lin 1; Tang, Tao 2,3,4; Zhou, Tao 5,6
	2020-08-01
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
ISSN	0021-9991
卷号	414 页码:16
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.
关键词	Time-fractional Allen-Cahn equation Alikhanov formula Adaptive time-stepping strategy Discrete maximum principle Sharp error estimate
DOI	10.1016/j.jcp.2020.109473
收录类别	SCI
语种	英语
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
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000536532800011
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51473
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.