Landweber iterative regularization method for identifying the unknown source of the modified Helmholtz equation

doi:10.1186/s13661-017-0823-8

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	Landweber iterative regularization method for identifying the unknown source of the modified Helmholtz equation
	Yang, Fan; Liu, Xiao; Li, Xiao-Xiao
刊名	BOUNDARY VALUE PROBLEMS
	2017-06-19
关键词	modified Helmholtz equation ill-posed problem unknown source Landweber iterative method
ISSN号	1687-2770
DOI	10.1186/s13661-017-0823-8
英文摘要	In this paper, we consider the inverse problem of identifying the unknown source for the modified Helmholtz equation. We propose the Landweber iterative regularization method to solve this problem and obtain the regularization solution. Under the a priori and a posteriori regularization parameters choice rules, we all obtain the Holder type error estimates between the exact solution and the regularization solutions. Several numerical examples are also provided to show that the Landweber iterative method works well for solving this problem.
资助项目	National Natural Science Foundation of China[11561045][11501272]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER INTERNATIONAL PUBLISHING AG
WOS记录号	WOS:000403723800001
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/33228]
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
推荐引用方式 GB/T 7714	Yang, Fan,Liu, Xiao,Li, Xiao-Xiao. Landweber iterative regularization method for identifying the unknown source of the modified Helmholtz equation[J]. BOUNDARY VALUE PROBLEMS,2017.
APA	Yang, Fan,Liu, Xiao,&Li, Xiao-Xiao.(2017).Landweber iterative regularization method for identifying the unknown source of the modified Helmholtz equation.BOUNDARY VALUE PROBLEMS.
MLA	Yang, Fan,et al."Landweber iterative regularization method for identifying the unknown source of the modified Helmholtz equation".BOUNDARY VALUE PROBLEMS (2017).