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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
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:10/0
  |  
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
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
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
Identifying initial value problem for time-fractional diffusion equation with Caputo-like counterpart hyper-Bessel operator: Optimal error bound analysis and regularization method
期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 卷号: 44, 期号: 8, 页码: -
作者:
Yang, Fan
;
Sun, Qiao-Xi
;
Li, Xiao-Xiao
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  |  
浏览/下载:11/0
  |  
提交时间:2021/03/12
Errors
Initial value problems
Iterative methods
Numerical methods
Parameterization
Partial differential equations
Bessel operators
Error estimates
Exact solution
Iterative regularization
Optimal error bound
Regularization methods
Regularization parameters
Time fractional diffusion equation
Error estimates for a robust finite element method of two-term time-fractional diffusion-wave equation with nonsmooth data
期刊论文
MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2021, 卷号: 16
作者:
Nong, Lijuan
;
Chen, An
;
Cao, Jianxiong
收藏
  |  
浏览/下载:11/0
  |  
提交时间:2021/04/12
Two-term time-fractional diffusion-wave equation
finite element method
convolution quadrature
error estimate
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
Unknown source identification problem for space-time fractional diffusion equation: optimal error bound analysis and regularization method
期刊论文
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2021, 卷号: 29, 期号: 12, 页码: 2040-2084
作者:
Yang, Fan
;
Wang, Qian-Chao
;
Li, Xiao-Xiao
收藏
  |  
浏览/下载:14/0
  |  
提交时间:2021/06/03
Inverse problem
Caputo-Fabrizio fractional derivative
space-time fractional diffusion equation
optimal error bound
unknown source identification
The fractional Tikhonov regularization methods for identifying the initial value problem for a time-fractional diffusion equation
期刊论文
Journal of Computational and Applied Mathematics, 2020, 卷号: 380
作者:
Yang, Fan
;
Pu, Qu
;
Li, Xiao-Xiao
收藏
  |  
浏览/下载:13/0
  |  
提交时间:2022/02/17
Initial value problems
Parameterization
Partial differential equations
Columnar axis
Error estimates
Exact solution
Regularization parameters
Symmetric domains
Tikhonov method
Tikhonov regularization method
Time fractional diffusion equation
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
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