IDENTIFYING AN UNKNOWN SOURCE IN SPACE-FRACTIONAL DIFFUSION EQUATION

doi:10.1016/S0252-9602(14)60065-5

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	IDENTIFYING AN UNKNOWN SOURCE IN SPACE-FRACTIONAL DIFFUSION EQUATION
	Yang, Fan 1,2; Fu, Chuli 2; Li, Xiaoxiao 1
刊名	ACTA MATHEMATICA SCIENTIA
	2014-07
卷号	34 期号:4 页码:1012-1024
关键词	spatial-dependent heat source space-fractional diffusion equation generalized Tikhonov regularization A posteriori parameter choice error estimate
ISSN号	0252-9602
DOI	10.1016/S0252-9602(14)60065-5
英文摘要	In this paper, we identify a space-dependent source for a fractional diffusion equation. This problem is ill-posed, i.e., the solution (if it exists) does not depend continuously on the data. The generalized Tikhonov regularization method is proposed to solve this problem. An a priori error estimate between the exact solution and its regularized approximation is obtained. Moreover, an a posteriori parameter choice rule is proposed and a stable error estimate is also obtained. Numerical examples are presented to illustrate the validity and effectiveness of this method.
资助项目	Lan Zhou University of Technology[Q201015]
WOS研究方向	Mathematics
语种	英语
出版者	ELSEVIER SCIENCE INC
WOS记录号	WOS:000339413000003
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/34338]
专题	理学院
通讯作者	Yang, Fan
作者单位	1.Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Peoples R China 2.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
推荐引用方式 GB/T 7714	Yang, Fan,Fu, Chuli,Li, Xiaoxiao. IDENTIFYING AN UNKNOWN SOURCE IN SPACE-FRACTIONAL DIFFUSION EQUATION[J]. ACTA MATHEMATICA SCIENTIA,2014,34(4):1012-1024.
APA	Yang, Fan,Fu, Chuli,&Li, Xiaoxiao.(2014).IDENTIFYING AN UNKNOWN SOURCE IN SPACE-FRACTIONAL DIFFUSION EQUATION.ACTA MATHEMATICA SCIENTIA,34(4),1012-1024.
MLA	Yang, Fan,et al."IDENTIFYING AN UNKNOWN SOURCE IN SPACE-FRACTIONAL DIFFUSION EQUATION".ACTA MATHEMATICA SCIENTIA 34.4(2014):1012-1024.