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

IR > 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
	2020-03-19
发表期刊	ADVANCES IN DIFFERENCE EQUATIONS
ISSN	1687-1847
卷号	2020 期号:1
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.
关键词	Time-fractional diffusion equation Ill-posed problem Regularization method Error estimate
DOI	10.1186/s13662-020-2542-1
收录类别	SCI ; SCIE
语种	英语
资助项目	National Natural Science Foundation of China[11561045][11961044]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000522116400001
出版者	SPRINGEROPEN
来源库	WOS
引用统计	被引频次：16[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://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
第一作者单位	理学院
通讯作者单位	理学院
第一作者的第一单位	理学院
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).

条目包含的文件		下载所有文件
文件名称/大小	文献类型	版本类型	开放类型	使用许可
Yang-2020-Tikhonov r（1774KB）	期刊论文	出版稿	开放获取	CC BY-NC-SA	浏览下载