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The Landweber Iterative Regularization Method for Solving the Cauchy Problem of the Modified Helmholtz Equation
期刊论文
SYMMETRY-BASEL, 2022, 卷号: 14, 期号: 6
作者:
Chen, Yong-Gang
;
Yang, Fan
;
Ding, Qian
收藏
  |  
浏览/下载:21/0
  |  
提交时间:2022/07/19
modified Helmholtz equation
ill-posed problem
error estimation
Landweber iterative method
Two Regularization Methods for Identifying the Source Term Problem on the Time-Fractional Diffusion Equation with a Hyper-Bessel Operator
期刊论文
ACTA MATHEMATICA SCIENTIA, 2022, 卷号: 42, 期号: 4, 页码: 1485-1518
作者:
Yang, Fan
;
Sun, Qiaoxi
;
Li, Xiaoxiao
收藏
  |  
浏览/下载:11/0
  |  
提交时间:2022/07/19
Time-fractional diffusion equation
source term problem
fractional Landweber regularization method
Hyper-Bessel operator
fractional Tikhonov regularization method
Landweber Iterative Regularization Method for Identifying the Initial Value Problem of the Rayleigh-Stokes Equation
期刊论文
FRACTAL AND FRACTIONAL, 2021, 卷号: 5, 期号: 4
作者:
Li, Dun-Gang
;
Fu, Jun-Liang
;
Yang, Fan
;
Li, Xiao-Xiao
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  |  
浏览/下载:10/0
  |  
提交时间:2022/03/01
Rayleigh-Stokes equation
ill-posed problem
identifying the initial value problem
Landweber iterative regularization method
Fractional Landweber Iterative Regularization Method for Identifying the Unknown Source of the Time-Fractional Diffusion Problem
期刊论文
ACTA APPLICANDAE MATHEMATICAE, 2021, 卷号: 175, 期号: 1
作者:
Yang, Fan
;
Fu, Jun-Liang
;
Fan, Ping
;
Li, Xiao-Xiao
收藏
  |  
浏览/下载:4/0
  |  
提交时间:2021/12/17
Time-fractional diffusion equation
Ill-posed problem
Unknown source
Fractional Landweber iterative method
Landweber Iterative Regularization Method for Identifying Unknown Source for the Biharmonic Equation
期刊论文
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2021, 卷号: 45, 期号: 6, 页码: 2029-2040
作者:
Yang, Fan
;
Wang, Qian-Chao
;
Li, Xiao-Xiao
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  |  
浏览/下载:4/0
  |  
提交时间:2021/10/14
Biharmonic equation
Inverse problem
Identifying unkown source
Landweber iterative regularization method
The fractional Landweber method for identifying the space source term problem for time-space fractional diffusion equation
期刊论文
NUMERICAL ALGORITHMS, 2021, 卷号: 87, 期号: 3, 页码: 1229-1255
作者:
Yang, Fan
;
Pu, Qu
;
Li, Xiao-Xiao
收藏
  |  
浏览/下载:9/0
  |  
提交时间:2021/10/14
Time-fractional diffusion equation
Fractional Laplacian
Identifying the unknown source
Fractional Landweber regularization
Ill-posed problem
识别Rayleigh-Stokes方程源项的分数阶Landweber迭代正则化方法
期刊论文
数学物理学报, 2021, 卷号: 41, 期号: 02, 页码: 427-450
作者:
杨帆
;
王乾朝
;
李晓晓
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  |  
浏览/下载:4/0
  |  
提交时间:2021/06/03
Rayleigh-Stokes方程
反问题
识别源项
分数阶Landweber迭代正则化方法
A fractional Landweber iterative regularization method for stable analytic continuation
期刊论文
AIMS MATHEMATICS, 2021, 卷号: 6, 期号: 1, 页码: 404-419
作者:
Yang, Fan
;
Wang, Qianchao
;
Li, Xiaoxiao
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  |  
浏览/下载:10/0
  |  
提交时间:2021/03/12
stable analytic continuation
fractional Landweber regularization method
III-posed problem
inverse problem
Three Landweber iterative methods for solving the initial value problem of time-fractional diffusion-wave equation on spherically symmetric domain
期刊论文
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2021, 卷号: 29, 期号: 12, 页码: 2306-2356
作者:
Yang, Fan
;
Sun, Qiao-Xi
;
Li, Xiao-Xiao
收藏
  |  
浏览/下载:7/0
  |  
提交时间:2021/06/03
Time-fractional diffusion wave equation
spherically symmetric
Ill-posed problem
fractional Landweber method
inverse problem
Landweber iterative regularization method for reconstructing the unknown source of the modified Helmholtz equation
期刊论文
AIMS MATHEMATICS, 2021, 卷号: 6, 期号: 9, 页码: 10327-10342
作者:
Li, Dun-Gang
;
Yang, Fan
;
Fan, Ping
;
Li, Xiao-Xiao
;
Huang, Can-Yun
收藏
  |  
浏览/下载:7/0
  |  
提交时间:2021/10/14
modified Helmholtz equation
ill-posed problem
posteriori regularization parameter choice rule
Landweber iterative method
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