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	Landweber iterative regularization method for reconstructing the unknown source of the modified Helmholtz equation
	Li, Dun-Gang; Yang, Fan; Fan, Ping; Li, Xiao-Xiao; Huang, Can-Yun
刊名	AIMS MATHEMATICS
	2021
卷号	6期号:9页码:10327-10342
关键词	modified Helmholtz equation ill-posed problem posteriori regularization parameter choice rule Landweber iterative method
DOI	10.3934/math.2021598
英文摘要	This paper considers the inverse problem of determining an unknown source which depends only one spatial variable on modified Helmholtz equation. This problem is well known to be severely ill-posed, the solution (if it exists) does not depend continuously on the data. Landweber iterative regularization method is used to solve this inverse source problem. The Holder type error estimates are obtained between the exact solution and regularization solutions under an a priori and an a posteriori regularization parameters choice rules, respectively. Numerical examples are provided to show the effectiveness of the proposed method.
WOS研究方向	Mathematics
语种	英语
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
WOS记录号	WOS:000683418700046
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/148642]
专题	理学院
作者单位	Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Li, Dun-Gang,Yang, Fan,Fan, Ping,et al. Landweber iterative regularization method for reconstructing the unknown source of the modified Helmholtz equation[J]. AIMS MATHEMATICS,2021,6(9):10327-10342.
APA	Li, Dun-Gang,Yang, Fan,Fan, Ping,Li, Xiao-Xiao,&Huang, Can-Yun.(2021).Landweber iterative regularization method for reconstructing the unknown source of the modified Helmholtz equation.AIMS MATHEMATICS,6(9),10327-10342.
MLA	Li, Dun-Gang,et al."Landweber iterative regularization method for reconstructing the unknown source of the modified Helmholtz equation".AIMS MATHEMATICS 6.9(2021):10327-10342.

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