A fractional Landweber iterative regularization method for stable analytic continuation | |
Yang, Fan; Wang, Qianchao; Li, Xiaoxiao | |
刊名 | AIMS MATHEMATICS
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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. |
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