Error estimates for a robust finite element method of two-term time-fractional diffusion-wave equation with nonsmooth data

doi:10.1051/mmnp/2021007

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	Error estimates for a robust finite element method of two-term time-fractional diffusion-wave equation with nonsmooth data
	Nong, Lijuan 1; Chen, An 1; Cao, Jianxiong 2
刊名	MATHEMATICAL MODELLING OF NATURAL PHENOMENA
	2021
卷号	16
关键词	Two-term time-fractional diffusion-wave equation finite element method convolution quadrature error estimate
ISSN号	0973-5348
DOI	10.1051/mmnp/2021007
英文摘要	In this paper, we consider a two-term time-fractional diffusion-wave equation which involves the fractional orders alpha is an element of (1, 2) and beta is an element of (0, 1), respectively. By using piecewise linear Galerkin finite element method in space and convolution quadrature based on second-order backward difference method in time, we obtain a robust fully discrete scheme. Error estimates for semidiscrete and fully discrete schemes are established with respect to nonsmooth data. Numerical experiments for two-dimensional problems are provided to illustrate the efficiency of the method and conform the theoretical results.
WOS研究方向	Mathematical & Computational Biology ; Mathematics
语种	英语
出版者	EDP SCIENCES S A
WOS记录号	WOS:000631963400001
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/147418]
专题	理学院
作者单位	1.Guilin Univ Technol, Coll Sci, Guilin 541004, Guangxi, Peoples R China; 2.Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Nong, Lijuan,Chen, An,Cao, Jianxiong. Error estimates for a robust finite element method of two-term time-fractional diffusion-wave equation with nonsmooth data[J]. MATHEMATICAL MODELLING OF NATURAL PHENOMENA,2021,16.
APA	Nong, Lijuan,Chen, An,&Cao, Jianxiong.(2021).Error estimates for a robust finite element method of two-term time-fractional diffusion-wave equation with nonsmooth data.MATHEMATICAL MODELLING OF NATURAL PHENOMENA,16.
MLA	Nong, Lijuan,et al."Error estimates for a robust finite element method of two-term time-fractional diffusion-wave equation with nonsmooth data".MATHEMATICAL MODELLING OF NATURAL PHENOMENA 16(2021).