Stabilized Crank-Nicolson/Adams-Bashforth schemes for phase field models

doi:10.4208/eajam.200113.220213a

Details of Research Outputs

Status	已发表Published
Title	Stabilized Crank-Nicolson/Adams-Bashforth schemes for phase field models
Creator	Feng, Xinlong 1,2; Tang, Tao1 ; Yang, Jiang 1
Date Issued	2013
Source Publication	East Asian Journal on Applied Mathematics
ISSN	2079-7362
Volume	3 Issue:1 Pages:59-80
Abstract	In this paper, stabilized Crank-Nicolson/Adams-Bashforth schemes are presented for the Allen-Cahn and Cahn-Hilliard equations. It is shown that the proposed time discretization schemes are either unconditionally energy stable, or conditionally energy stable under some reasonable stability conditions. Optimal error estimates for the semi-discrete schemes and fully-discrete schemes will be derived. Numerical experiments are carried out to demonstrate the theoretical results. © 2013 Global-Science Press.
Keyword	Adams-Bashforth scheme Allen-Cahn equation Cahn-Hilliard equation Crank-Nicolson scheme Error estimates Implicit-explicit method
DOI	10.4208/eajam.200113.220213a
URL	View source
Indexed By	SCIE
Language	英语English
WOS Research Area	Mathematics
WOS Subject	Mathematics, Applied
WOS ID	WOS:000325517200005
Citation statistics	Cited Times:113[WOS] [WOS Record] [Related Records in WOS]
Document Type	Journal article
Identifier	http://repository.uic.edu.cn/handle/39GCC9TT/1799
Collection	Research outside affiliated institution
Corresponding Author	Tang, Tao
Affiliation	1.Department of Mathematics, Institute for Computational and Theoretical Studies, Hong Kong Baptist University, Kowloon Tong, Hong Kong 2.College of Mathematics and SystemSciences, Xinjiang University, Urumqi 830046, China
Recommended Citation GB/T 7714	Feng, Xinlong,Tang, Tao,Yang, Jiang. Stabilized Crank-Nicolson/Adams-Bashforth schemes for phase field models[J]. East Asian Journal on Applied Mathematics, 2013, 3(1): 59-80.
APA	Feng, Xinlong, Tang, Tao, & Yang, Jiang. (2013). Stabilized Crank-Nicolson/Adams-Bashforth schemes for phase field models. East Asian Journal on Applied Mathematics, 3(1), 59-80.
MLA	Feng, Xinlong,et al."Stabilized Crank-Nicolson/Adams-Bashforth schemes for phase field models". East Asian Journal on Applied Mathematics 3.1(2013): 59-80.

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