A fractional Landweber iterative regularization method for stable analytic continuation

doi:10.3934/math.2021025

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	A fractional Landweber iterative regularization method for stable analytic continuation
	Yang, Fan; Wang, Qianchao; Li, Xiaoxiao
刊名	AIMS MATHEMATICS
	2021
卷号	6 期号:1 页码:404-419
关键词	stable analytic continuation fractional Landweber regularization method III-posed problem inverse problem
DOI	10.3934/math.2021025
英文摘要	In this paper, we consider the problem of analytic continuation of the analytic function g(z) = g(x + iy) on a strip domain Omega = {z = x + iy is an element of C vertical bar x is an element of R, 0 < y < y(0)}, where the data is given only on the line y = 0. This problem is a severely ill-posed problem. We propose the fraction Landweber iterative regularization method to deal with this problem. Under the a priori and a posteriori regularization parameter choice rule, we all obtain the error estimates between the regularization solution and the exact solution. Some numerical examples are given to verify the efficiency and accuracy of the proposed methods.
WOS研究方向	Mathematics
语种	英语
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
WOS记录号	WOS:000590361100025
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/147373]
专题	理学院
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,Wang, Qianchao,Li, Xiaoxiao. A fractional Landweber iterative regularization method for stable analytic continuation[J]. AIMS MATHEMATICS,2021,6(1):404-419.
APA	Yang, Fan,Wang, Qianchao,&Li, Xiaoxiao.(2021).A fractional Landweber iterative regularization method for stable analytic continuation.AIMS MATHEMATICS,6(1),404-419.
MLA	Yang, Fan,et al."A fractional Landweber iterative regularization method for stable analytic continuation".AIMS MATHEMATICS 6.1(2021):404-419.