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科研机构
兰州理工大学 [17]
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期刊论文 [17]
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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:26/0
  |  
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: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
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:8/0
  |  
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
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:5/0
  |  
提交时间:2020/06/02
Time-fractional diffusion equation
Ill-posed problem
Regularization method
Error estimate
The method of simplified Tikhonov regularization for a time-fractional inverse diffusion problem
期刊论文
MATHEMATICS AND COMPUTERS IN SIMULATION, 2018, 卷号: 144, 页码: 219-234
作者:
Yang, Fan
;
Fu, Chu-Li
;
Li, Xiao-Xiao
收藏
  |  
浏览/下载:7/0
  |  
提交时间:2019/11/15
Time-fractional inverse diffusion problem
Simplified Tikhonov method
A posteriori parameter choice
Error estimate
The Simplified Tikhonov Regularization Method for Solving a Riesz-Feller Space-Fractional Backward Diffusion Problem
期刊论文
MATHEMATICS IN COMPUTER SCIENCE, 2017, 卷号: 11, 期号: 1, 页码: 91-110
作者:
Yang, Fan
;
Li, Xiao-Xiao
;
Li, Dun-Gang
;
Wang, Lan
收藏
  |  
浏览/下载:1/0
  |  
提交时间:2022/03/01
Space-fractional backward diffusion problem
Simplified Tikhonov regularization
A posteriori parameter choice
Error estimate
Ill-posed problem
A MODIFIED TIKHONOV REGULARIZATION METHOD FOR THE CAUCHY PROBLEM OF LAPLACE EQUATION
期刊论文
ACTA MATHEMATICA SCIENTIA, 2015, 卷号: 35, 期号: 6, 页码: 1339-1348
作者:
Yang, Fan
;
Fu, Chuli
;
Li, Xiaoxiao
收藏
  |  
浏览/下载:4/0
  |  
提交时间:2019/11/15
Cauchy problem for Laplace equation
ill-posed problem
a posteriori parameter choice
error estimate
The Generalized Tikhonov Regularization Method for High Order Numerical Derivatives
期刊论文
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2014, 卷号: 100, 期号: 1, 页码: 19-29
作者:
Yang, F.
;
Fu, C. L.
;
Li, X. X.
收藏
  |  
浏览/下载:8/0
  |  
提交时间:2019/11/15
Numerical differentiation
ill-posed problem
generalized Tikhonov regularization
A posteriori parameter choice
Error estimate
IDENTIFYING AN UNKNOWN SOURCE IN SPACE-FRACTIONAL DIFFUSION EQUATION
期刊论文
ACTA MATHEMATICA SCIENTIA, 2014, 卷号: 34, 期号: 4, 页码: 1012-1024
作者:
Yang, Fan
;
Fu, Chuli
;
Li, Xiaoxiao
收藏
  |  
浏览/下载:6/0
  |  
提交时间:2019/11/15
spatial-dependent heat source
space-fractional diffusion equation
generalized Tikhonov regularization
A posteriori parameter choice
error estimate
The generalized Tikhonov regularization method for high order numerical derivatives
期刊论文
CMES - Computer Modeling in Engineering and Sciences, 2014, 卷号: 100, 期号: 1, 页码: 19-29
作者:
Yang, F.
;
Fu, C. L.
;
Li, X. X.
收藏
  |  
浏览/下载:0/0
  |  
提交时间:2020/11/14
Differentiation (calculus)
Parameterization
Error estimates
Ill posed problem
Numerical differentiation
Parameter choice
Tikhonov regularization
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