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兰州理工大学 [7]
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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
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  |  
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
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  |  
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
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  |  
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
Efficiently solving total least squares with Tikhonov identical regularization
期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2018, 卷号: 70, 页码: 571-592
作者:
Yang, Meijia
;
Xia, Yong
;
Wang, Jiulin
;
Peng, Jiming
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  |  
浏览/下载:4/0
  |  
提交时间:2019/12/30
Fractional programming
Quadratic programming
Total least square
Tikhonov regularization
Bisection method
Newton's method
Trust-region subproblem
S-lemma
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
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  |  
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
Optimal error bound and simplified Tikhonov regularization method for a backward problem for the time-fractional diffusion equation
期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2015, 卷号: 279, 页码: 277-292
作者:
Wang, JG
;
Wei, T
;
Zhou, YB
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  |  
浏览/下载:3/0
  |  
提交时间:2015/12/16
Inverse problem
Fractional diffusion equation
Optimal error bound
Simplified Tikhonov regularization method
Convergence analysis
A posteriori parameter choice
Tikhonov Regularisation Method for Simultaneous Inversion of the Source Term and Initial Data in a Time-Fractional Diffusion Equation
期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2015, 卷号: 5, 期号: 3
作者:
Ruan, Zhousheng
;
Yang, Jerry Zhijian
;
Lu, Xiliang
收藏
  |  
浏览/下载:12/0
  |  
提交时间:2019/12/05
Time-fractional diffusion equation
conditional stability
Tikhonov regularisation
Morozov discrepancy principle
convergence rate
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
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