Tikhonov regularization method for identifying the space-dependent source for time-fractional diffusion equation on a columnar symmetric domain

doi:10.1186/s13662-020-2542-1

CORC > 兰州理工大学 > 兰州理工大学 > 理学院

	Tikhonov regularization method for identifying the space-dependent source for time-fractional diffusion equation on a columnar symmetric domain
	Yang, Fan; Zhang, Pan; Li, Xiao-Xiao; Ma, Xin-Yi
刊名	ADVANCES IN DIFFERENCE EQUATIONS
	2020-03-19
卷号	2020 期号:1
关键词	Time-fractional diffusion equation Ill-posed problem Regularization method Error estimate
ISSN号	1687-1847
DOI	10.1186/s13662-020-2542-1
英文摘要	In this paper, we deal with the inverse problem of identifying the unknown source of time-fractional diffusion equation on a columnar symmetric domain. This problem is ill-posed. Firstly, we establish the conditional stability for this inverse problem. Then the regularization solution is obtained by using the Tikhonov regularization method and the error estimates are derived under the a priori and a posteriori choice rules of the regularization parameter. Three numerical examples are presented to illustrate the validity and effectiveness of our method.
资助项目	National Natural Science Foundation of China[11561045][11961044]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGEROPEN
WOS记录号	WOS:000522116400001
状态	已发表
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/64242]
专题	理学院
通讯作者	Yang, Fan
作者单位	Lanzhou Univ Technol, Sch Sci, Lanzhou, Peoples R China
推荐引用方式 GB/T 7714	Yang, Fan,Zhang, Pan,Li, Xiao-Xiao,et al. Tikhonov regularization method for identifying the space-dependent source for time-fractional diffusion equation on a columnar symmetric domain[J]. ADVANCES IN DIFFERENCE EQUATIONS,2020,2020(1).
APA	Yang, Fan,Zhang, Pan,Li, Xiao-Xiao,&Ma, Xin-Yi.(2020).Tikhonov regularization method for identifying the space-dependent source for time-fractional diffusion equation on a columnar symmetric domain.ADVANCES IN DIFFERENCE EQUATIONS,2020(1).
MLA	Yang, Fan,et al."Tikhonov regularization method for identifying the space-dependent source for time-fractional diffusion equation on a columnar symmetric domain".ADVANCES IN DIFFERENCE EQUATIONS 2020.1(2020).