Landweber iterative regularization method for identifying the unknown source of the time-fractional diffusion equation

doi:10.1186/s13662-017-1423-8

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	Landweber iterative regularization method for identifying the unknown source of the time-fractional diffusion equation
	Yang, Fan; Liu, Xiao; Li, Xiao-Xiao; Ma, Cheng-Ye
	2017-12-19
发表期刊	ADVANCES IN DIFFERENCE EQUATIONS
ISSN	1687-1847
摘要	In this paper, we investigate an inverse problem to determine an unknown source term that has a separable-variable form in the time-fractional diffusion equation, whereby the data is obtained at a certain time. This problem is ill-posed, and we use the Landweber iterative regularization method to solve this inverse source problem. Two kinds of convergence rates are obtained by using an a priori and an a posteriori regularization parameters choice rules, respectively. Numerical examples are provided to show the effectiveness of the proposed method.
关键词	time-fractional diffusion equation ill-posed problem unknown source Landweber iterative method
DOI	10.1186/s13662-017-1423-8
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:000418568600003
出版者	SPRINGEROPEN
引用统计	被引频次：11[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/32963
专题	理学院马克思主义学院
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,Liu, Xiao,Li, Xiao-Xiao,et al. Landweber iterative regularization method for identifying the unknown source of the time-fractional diffusion equation[J]. ADVANCES IN DIFFERENCE EQUATIONS,2017.
APA	Yang, Fan,Liu, Xiao,Li, Xiao-Xiao,&Ma, Cheng-Ye.(2017).Landweber iterative regularization method for identifying the unknown source of the time-fractional diffusion equation.ADVANCES IN DIFFERENCE EQUATIONS.
MLA	Yang, Fan,et al."Landweber iterative regularization method for identifying the unknown source of the time-fractional diffusion equation".ADVANCES IN DIFFERENCE EQUATIONS (2017).

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