A novel high-order approximate scheme for two-dimensional time-fractional diffusion equations with variable coefficient

doi:10.1016/j.camwa.2018.11.029

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	A novel high-order approximate scheme for two-dimensional time-fractional diffusion equations with variable coefficient
	Wang, Fenling 3; Zhao, Yanmin 3; Chen, Chen 1; Wei, Yabing 4; Tang, Yifa1,2
刊名	COMPUTERS & MATHEMATICS WITH APPLICATIONS
	2019-09-01
卷号	78 期号:5 页码:1288-1301
关键词	Time-fractional diffusion equations Variable coefficient Quasi-Wilson nonconforming anisotropic finite element L2-1(sigma) formula Stability Superclose and superconvergence
ISSN号	0898-1221
DOI	10.1016/j.camwa.2018.11.029
英文摘要	Based on the spatial quasi-Wilson nonconforming finite element method and temporal L2 - 1(sigma) , formula, a fully-discrete approximate scheme is proposed for a two-dimensional time-fractional diffusion equations with variable coefficient on anisotropic meshes. In order to demonstrate the stable analysis and error estimates, several lemmas are provided, which focus on high accuracy about projection and superclose estimate between the interpolation and projection. Unconditionally stable analysis are derived in L-2-norm and broken H-1-norm. Moreover, convergence result of accuracy O(h(2) + tau(2)) and superclose property of accuracy O(h(2) + tau(2)) are deduced by combining interpolation with projection, where h and tau are the step sizes in space and time, respectively. And then, the global superconvergence is presented by employing interpolation post processing operator. Finally, numerical results are provided to demonstrate the validity of the theoretical analysis. (C) 2018 Elsevier Ltd. All rights reserved.
资助项目	National Natural Science Foundation of China[11771438] ; National Natural Science Foundation of China[11471296] ; Key Scientific Research Projects in Universities of Henan Province, China[198110013] ; Program for Scientific and Technological Innovation Talents in Universities of Henan Province, China[19HASTIT025]
WOS研究方向	Mathematics
语种	英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000482248100005
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/35477]
专题	计算数学与科学工程计算研究所
通讯作者	Zhao, Yanmin; Tang, Yifa
作者单位	1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China 3.Xuchang Univ, Sch Math & Stat, Xuchang 461000, Peoples R China 4.Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R China
推荐引用方式 GB/T 7714	Wang, Fenling,Zhao, Yanmin,Chen, Chen,et al. A novel high-order approximate scheme for two-dimensional time-fractional diffusion equations with variable coefficient[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2019,78(5):1288-1301.
APA	Wang, Fenling,Zhao, Yanmin,Chen, Chen,Wei, Yabing,&Tang, Yifa.(2019).A novel high-order approximate scheme for two-dimensional time-fractional diffusion equations with variable coefficient.COMPUTERS & MATHEMATICS WITH APPLICATIONS,78(5),1288-1301.
MLA	Wang, Fenling,et al."A novel high-order approximate scheme for two-dimensional time-fractional diffusion equations with variable coefficient".COMPUTERS & MATHEMATICS WITH APPLICATIONS 78.5(2019):1288-1301.