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The Fractional Tikhonov Regularization Method to Identify the Initial Value of the Nonhomogeneous Time-Fractional Diffusion Equation on a Columnar Symmetrical Domain
期刊论文
SYMMETRY-BASEL, 2022, 卷号: 14, 期号: 8
作者:
Chen, Yong-Gang
;
Yang, Fan
;
Li, Xiao-Xiao
;
Li, Dun-Gang
收藏
  |  
浏览/下载:31/0
  |  
提交时间:2022/09/22
time-fractional nonhomogeneous diffusion equation
columnar symmetric domain
ill-posed problem
fractional Tikhonov method
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
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
收藏
  |  
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
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
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  |  
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
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:6/0
  |  
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:6/0
  |  
提交时间:2021/10/14
modified Helmholtz equation
ill-posed problem
posteriori regularization parameter choice rule
Landweber iterative method
A potential-free field inverse Schrödinger problem: optimal error bound analysis and regularization method
期刊论文
Inverse Problems in Science and Engineering, 2020, 卷号: 28, 期号: 9, 页码: 1209-1252
作者:
Yang, Fan
;
Fu, Jun-Liang
;
Li, Xiao-Xiao
收藏
  |  
浏览/下载:6/0
  |  
提交时间:2020/11/14
Dynamic loads
Errors
Iterative methods
Numerical methods
Parameterization
Free fields
Ill posed problem
Iterative regularization
Modified kernels
Optimal error bound
The Quasi-Boundary Value Method for Identifying the Initial Value of the Space-Time Fractional Diffusion Equation
期刊论文
ACTA MATHEMATICA SCIENTIA, 2020, 卷号: 40, 期号: 3, 页码: 641-658
作者:
Yang, Fan
;
Zhang, Yan
;
Liu, Xiao
;
Li, Xiaoxiao
收藏
  |  
浏览/下载:6/0
  |  
提交时间:2022/03/01
Space-time fractional diffusion equation
Ill-posed problem
quasi-boundary value method
identifying the initial value
Tikhonov regularization method for identifying the space-dependent source for time-fractional diffusion equation on a columnar symmetric domain
期刊论文
ADVANCES IN DIFFERENCE EQUATIONS, 2020, 卷号: 2020, 期号: 1
作者:
Yang, Fan
;
Zhang, Pan
;
Li, Xiao-Xiao
;
Ma, Xin-Yi
收藏
  |  
浏览/下载:7/0
  |  
提交时间:2020/06/02
Time-fractional diffusion equation
Ill-posed problem
Regularization method
Error estimate
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