Tailored finite point method for time fractional convection dominated diffusion problems with boundary layers

doi:10.1002/mma.6772

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	Tailored finite point method for time fractional convection dominated diffusion problems with boundary layers
	Wang, Yihong 2; Cao, Jianxiong 1; Fu, Junliang 1
刊名	MATHEMATICAL METHODS IN THE APPLIED SCIENCES
	2020
关键词	Caputo derivative boundary layer tailored finite point method time fractional convection-diffusion
ISSN号	0170-4214
DOI	10.1002/mma.6772
英文摘要	We propose a tailored finite point method (TFPM) for solving time fractional convection dominated diffusion equations in this paper. The main idea of TFPM is to firstly approximate the diffusion, convection coefficient near each grid by a constant, and then determine the weights of the finite difference scheme by using the exact solution of the convection diffusion equation with constant coefficients. This adaptation perfectly captures the rapid transition of the solutions which contain sharp boundary layers even with coarse meshes. The accuracy and stability of the scheme are rigorously analyzed. Numerical examples are shown to verify the accuracy and reliability of the proposed scheme.
WOS研究方向	Mathematics
语种	英语
出版者	WILEY
WOS记录号	WOS:000552897200001
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/155142]
专题	理学院
作者单位	1.Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Peoples R China 2.Shanghai Lixin Univ Accounting & Finance, Sch Math & Stat, Shanghai 201209, Peoples R China;
推荐引用方式 GB/T 7714	Wang, Yihong,Cao, Jianxiong,Fu, Junliang. Tailored finite point method for time fractional convection dominated diffusion problems with boundary layers[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2020.
APA	Wang, Yihong,Cao, Jianxiong,&Fu, Junliang.(2020).Tailored finite point method for time fractional convection dominated diffusion problems with boundary layers.MATHEMATICAL METHODS IN THE APPLIED SCIENCES.
MLA	Wang, Yihong,et al."Tailored finite point method for time fractional convection dominated diffusion problems with boundary layers".MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2020).