南方科技大学知识苑(SUSTech KC): A MESHLESS COLLOCATION METHOD with A GLOBAL REFINEMENT STRATEGY for REACTION-DIFFUSION SYSTEMS on EVOLVING DOMAINS

题名	A MESHLESS COLLOCATION METHOD with A GLOBAL REFINEMENT STRATEGY for REACTION-DIFFUSION SYSTEMS on EVOLVING DOMAINS
作者	Li，Siqing1,2 ; Qiao，Zhonghua 3
通讯作者	Qiao，Zhonghua
发表日期	2022
DOI	10.3934/dcdsb.2021057
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 影响因子和分区
ISSN	1531-3492
卷号	27 期号:1页码:601-617
摘要	Turing-type reaction-diffusion systems on evolving domains arising in biology, chemistry and physics are considered in this paper. The evolving domain is transformed into a reference domain, on which we use a second order semi-implicit backward difference formula (SBDF2) for time integration and a meshless collocation method for space discretization. A global refinement strategy is proposed to reduce the computational cost. Numerical experiments are carried out for different evolving domains. The convergence behavior of the proposed algorithm and the effectiveness of the refinement strategy are verified numerically.
关键词	Evolving domain Global refinement Meshless method Pattern formation Reaction-diffusion systems
相关链接	[Scopus记录]
收录类别	SCI
语种	英语
学校署名	其他
资助项目	Research Grants Council, University Grants Committee[15300417];Research Grants Council, University Grants Committee[15302919];Shanxi Province Science Foundation for Youths[201901D211107];China Postdoctoral Science Foundation[2019M661059];
WOS记录号	WOS:000702886700001
ESI学科分类	MATHEMATICS
Scopus记录号	2-s2.0-85121925011
来源库	Scopus
引用统计	被引频次[WOS]：1
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/259925
专题	深圳国际数学中心（杰曼诺夫数学中心）（筹）
作者单位	1.Taiyuan University of Technology,Taiyuan,Shanxi Province,China 2.SUSTech International Center for Mathematics,Southern University of Science and Technology,Shenzhen,Guangdong Province,China 3.Department of Applied Mathematics,Hong Kong Polytechnic University,Kowloon,Hung Hom,Hong Kong
第一作者单位	深圳国际数学中心（杰曼诺夫数学中心）（筹）
推荐引用方式 GB/T 7714	Li，Siqing,Qiao，Zhonghua. A MESHLESS COLLOCATION METHOD with A GLOBAL REFINEMENT STRATEGY for REACTION-DIFFUSION SYSTEMS on EVOLVING DOMAINS[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,2022,27(1):601-617.
APA	Li，Siqing,&Qiao，Zhonghua.(2022).A MESHLESS COLLOCATION METHOD with A GLOBAL REFINEMENT STRATEGY for REACTION-DIFFUSION SYSTEMS on EVOLVING DOMAINS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,27(1),601-617.
MLA	Li，Siqing,et al."A MESHLESS COLLOCATION METHOD with A GLOBAL REFINEMENT STRATEGY for REACTION-DIFFUSION SYSTEMS on EVOLVING DOMAINS".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 27.1(2022):601-617.