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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:8/0
  |  
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
Three regularization methods for identifying the initial value of time fractional advection-dispersion equation
期刊论文
COMPUTATIONAL & APPLIED MATHEMATICS, 2022, 卷号: 41, 期号: 1
作者:
Yang, Fan
;
Wu, Hang-Hang
;
Li, Xiao-Xiao
收藏
  |  
浏览/下载:7/0
  |  
提交时间:2022/03/01
Time fractional advection-dispersion equation
Identifying the initial value
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
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  |  
浏览/下载:3/0
  |  
提交时间:2021/12/17
Time-fractional diffusion equation
Ill-posed problem
Unknown source
Fractional Landweber iterative method
Three regularization methods for identifying the initial value of homogeneous anomalous secondary diffusion equation
期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 卷号: 44, 期号: 17, 页码: 13723-13755
作者:
Yang, Fan
;
Wu, Hang-Hang
;
Li, Xiao-Xiao
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  |  
浏览/下载:3/0
  |  
提交时间:2021/10/14
homogeneous anomalous subdiffusion equation
identifying the initial value
inverse problem
optimal error bound
regularization method
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
A potential-free field inverse time-fractional Schrödinger problem: Optimal error bound analysis and regularization method
期刊论文
Mathematical Methods in the Applied Sciences, 2021, 卷号: 44, 期号: 2, 页码: 1219-1251
作者:
Yang, Fan
;
Fu, Jun-Liang
;
Li, Xiao-Xiao
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  |  
浏览/下载:5/0
  |  
提交时间:2020/12/18
Errors
Numerical methods
ParameterizationConvergence errors
Free fields
Inverse-time
Modified kernels
Optimal error bound
Priori bounds
Regularization methods
Regularization parameters
A potential-free field inverse time-fractional Schrodinger problem: Optimal error bound analysis and regularization method
期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 卷号: 44, 期号: 2, 页码: 1219-1251
作者:
Yang, Fan
;
Fu, Jun-Liang
;
Li, Xiao-Xiao
收藏
  |  
浏览/下载:7/0
  |  
提交时间:2021/03/12
FOURIER REGULARIZATION
DECOMPOSITION METHOD
GLOBAL UNIQUENESS
QUANTUM-MECHANICS
UNKNOWN SOURCE
WAVE-EQUATION
COEFFICIENTS
DIRICHLET
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
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  |  
浏览/下载:12/0
  |  
提交时间:2021/06/03
Inverse problem
Caputo-Fabrizio fractional derivative
space-time fractional diffusion equation
optimal error bound
unknown source identification
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:5/0
  |  
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
A potential-free field inverse Schrodinger problem: optimal error bound analysis and regularization method
期刊论文
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2019, 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:11/0
  |  
提交时间:2020/06/02
Potential-free field inverse Schrodinger problem
optimal error bound
Landweber iterative regularization method
a modified kernel method
ill-posed problem
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