A mollification regularization method for unknown source in time-fractional diffusion equation

doi:10.1080/00207160.2013.851787

CORC > 兰州理工大学 > 兰州理工大学 > 理学院

	A mollification regularization method for unknown source in time-fractional diffusion equation
	Yang, Fan 1,2; Fu, Chu-Li 2; Li, Xiao-Xiao 1
刊名	INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
	2014
卷号	91 期号:7 页码:1516-1534
关键词	time-dependent heat source time-fractional diffusion equation modified regularization a posteriori parameter choice error estimate
ISSN号	0020-7160
DOI	10.1080/00207160.2013.851787
英文摘要	In the present paper, we consider an inverse source problem for a fractional diffusion equation. This problem is ill-posed, i.e. the solution (if it exists) does not depend continuously on the data. We give the mollification regularization method to solve this problem. An a priori error estimate between the exact solution and its regularized approximation is obtained. Moreover, a new a posteriori parameter choice rule is also proposed and a good error estimate is also obtained. Numerical examples are presented to illustrate the validity and effectiveness of this method.
资助项目	National Natural Science Foundation of China[11171136][11261032] ; Distinguished Young Scholars Fund of Lan Zhou University of Technology[Q201015]
WOS研究方向	Mathematics
语种	英语
出版者	TAYLOR & FRANCIS LTD
WOS记录号	WOS:000340826600011
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/34482]
专题	理学院
通讯作者	Yang, Fan
作者单位	1.Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China 2.Lanzhou Univ Technol, Sch Math & Stat, Lanzhou 730050, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Yang, Fan,Fu, Chu-Li,Li, Xiao-Xiao. A mollification regularization method for unknown source in time-fractional diffusion equation[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,2014,91(7):1516-1534.
APA	Yang, Fan,Fu, Chu-Li,&Li, Xiao-Xiao.(2014).A mollification regularization method for unknown source in time-fractional diffusion equation.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,91(7),1516-1534.
MLA	Yang, Fan,et al."A mollification regularization method for unknown source in time-fractional diffusion equation".INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 91.7(2014):1516-1534.