A quasi-boundary regularization method for identifying the initial value of time-fractional diffusion equation on spherically symmetric domain

doi:10.1515/jiip-2018-0050

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	A quasi-boundary regularization method for identifying the initial value of time-fractional diffusion equation on spherically symmetric domain
	Yang, Fan; Wang, Ni; Li, Xiao-Xiao; Huang, Can-Yun
	2019-10
发表期刊	JOURNAL OF INVERSE AND ILL-POSED PROBLEMS
ISSN	0928-0219
卷号	27 期号:5 页码:609-621
摘要	In this paper, an inverse problem to identify the initial value for high dimension time fractional diffusion equation on spherically symmetric domain is considered. This problem is ill-posed in the sense of Hadamard, so the quasi-boundary regularization method is proposed to solve the problem. The convergence estimates between the regularization solution and the exact solution are presented under the a priori and a posteriori regularization parameter choice rules. Numerical examples are provided to show the effectiveness and stability of the proposed method.
关键词	Ill-posed problem quasi-boundary method convergence estimate regularization parameter choice rules
DOI	10.1515/jiip-2018-0050
收录类别	SCI ; SCIE
语种	英语
资助项目	National Natural Science Foundation of China[11561045][11501272]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000489317100001
出版者	WALTER DE GRUYTER GMBH
EI入藏号	20194307585049
EI主题词	Inverse problems
EI分类号	921 Mathematics
引用统计	被引频次：32[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/31521
专题	理学院党委学生工作部（学生处、易班、武装部）
通讯作者	Yang, Fan
作者单位	Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, 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,Wang, Ni,Li, Xiao-Xiao,et al. A quasi-boundary regularization method for identifying the initial value of time-fractional diffusion equation on spherically symmetric domain[J]. JOURNAL OF INVERSE AND ILL-POSED PROBLEMS,2019,27(5):609-621.
APA	Yang, Fan,Wang, Ni,Li, Xiao-Xiao,&Huang, Can-Yun.(2019).A quasi-boundary regularization method for identifying the initial value of time-fractional diffusion equation on spherically symmetric domain.JOURNAL OF INVERSE AND ILL-POSED PROBLEMS,27(5),609-621.
MLA	Yang, Fan,et al."A quasi-boundary regularization method for identifying the initial value of time-fractional diffusion equation on spherically symmetric domain".JOURNAL OF INVERSE AND ILL-POSED PROBLEMS 27.5(2019):609-621.