A tailored finite point method for subdiffusion equation with anisotropic and discontinuous diffusivity

doi:10.1016/j.amc.2020.125907

IR > 理学院

	A tailored finite point method for subdiffusion equation with anisotropic and discontinuous diffusivity
	Wang, Yihong 1; Cao, Jianxiong2
	2021-07-15
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	401
摘要	In this paper, we first propose a tailored finite point method (TFPM) for solving time fractional subdiffusion problems with anisotropic and discontinuous diffusivity. This numerical scheme can perfectly capture the rapid transition of the solutions which contain sharp interface layers even with coarse meshes. Second, the accuracy and stability of the proposed scheme are strictly analyzed. Finally, some numerical examples are provided to show the accuracy and reliability of this new scheme. (C) 2020 Published by Elsevier Inc.
关键词	Subdiffusion Anisotropic Discontinuous Tailored finite point method
DOI	10.1016/j.amc.2020.125907
收录类别	SCIE
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000627400800001
出版者	ELSEVIER SCIENCE INC
EI入藏号	20210909988373
EI主题词	Anisotropy
EI分类号	931.2 Physical Properties of Gases, Liquids and Solids
来源库	WOS
引用统计	被引频次：1[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/147396
专题	理学院
通讯作者	Cao, Jianxiong
作者单位	1.Shanghai Lixin Univ Accounting & Finance, Sch Stat & Math, Shanghai 201209, Peoples R China; 2.Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Peoples R China
通讯作者单位	理学院
推荐引用方式 GB/T 7714	Wang, Yihong,Cao, Jianxiong. A tailored finite point method for subdiffusion equation with anisotropic and discontinuous diffusivity[J]. APPLIED MATHEMATICS AND COMPUTATION,2021,401.
APA	Wang, Yihong,&Cao, Jianxiong.(2021).A tailored finite point method for subdiffusion equation with anisotropic and discontinuous diffusivity.APPLIED MATHEMATICS AND COMPUTATION,401.
MLA	Wang, Yihong,et al."A tailored finite point method for subdiffusion equation with anisotropic and discontinuous diffusivity".APPLIED MATHEMATICS AND COMPUTATION 401(2021).