An a posteriori Fourier regularization method for identifying the unknown source of the space-fractional diffusion equation

Journal of Inequalities and Applications ◽

10.1186/1029-242x-2014-434 ◽

2014 ◽

Vol 2014 (1) ◽

pp. 434 ◽

Author(s):

Xiao-Xiao Li ◽

Jin Lei ◽

Fan Yang

Keyword(s):

Diffusion Equation ◽

Regularization Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

A Posteriori ◽

Unknown Source ◽

Space Fractional Diffusion Equation

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Landweber iterative regularization method for identifying the unknown source of the time-fractional diffusion equation

Advances in Difference Equations ◽

10.1186/s13662-017-1423-8 ◽

2017 ◽

Vol 2017 (1) ◽

Author(s):

Fan Yang ◽

Xiao Liu ◽

Xiao-Xiao Li ◽

Cheng-Ye Ma

Keyword(s):

Diffusion Equation ◽

Regularization Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Iterative Regularization ◽

Unknown Source ◽

Time Fractional Diffusion Equation

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Solving the backward problem for space-fractional diffusion equation by a fractional Tikhonov regularization method

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2017.12.005 ◽

2018 ◽

Vol 148 ◽

pp. 37-47 ◽

Author(s):

Guang-Hui Zheng ◽

Quan-Guo Zhang

Keyword(s):

Diffusion Equation ◽

Tikhonov Regularization ◽

Regularization Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Tikhonov Regularization Method ◽

Backward Problem ◽

Space Fractional Diffusion Equation

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Determination of the unknown source term in a space-fractional diffusion equation

Inverse Problems in Science and Engineering ◽

10.1080/17415977.2016.1275611 ◽

2017 ◽

Vol 25 (11) ◽

pp. 1601-1617

Author(s):

Huan Liu ◽

Fangfang Dou

Keyword(s):

Diffusion Equation ◽

Source Term ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Unknown Source ◽

Space Fractional Diffusion Equation

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Optimal regularization for an unknown source of space-fractional diffusion equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.12.030 ◽

2019 ◽

Vol 349 ◽

pp. 184-206 ◽

Author(s):

Dang Duc Trong ◽

Dinh Nguyen Duy Hai ◽

Nguyen Dang Minh

Keyword(s):

Diffusion Equation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Unknown Source ◽

Space Fractional Diffusion Equation

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Recovering the initial distribution for space-fractional diffusion equation by a logarithmic regularization method

Applied Mathematics Letters ◽

10.1016/j.aml.2016.06.002 ◽

2016 ◽

Vol 61 ◽

pp. 143-148 ◽

Author(s):

Guang-Hui Zheng ◽

Quan-Guo Zhang

Keyword(s):

Diffusion Equation ◽

Regularization Method ◽

Initial Distribution ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Space Fractional Diffusion Equation

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A mollification regularization method for unknown source in time-fractional diffusion equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2013.851787 ◽

2014 ◽

Vol 91 (7) ◽

pp. 1516-1534 ◽

Author(s):

Fan Yang ◽

Chu-Li Fu ◽

Xiao-Xiao Li

Keyword(s):

Diffusion Equation ◽

Regularization Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Unknown Source ◽

Time Fractional Diffusion Equation

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The quasi-reversibility regularization method for identifying the unknown source for time fractional diffusion equation

Applied Mathematical Modelling ◽

10.1016/j.apm.2014.08.010 ◽

2015 ◽

Vol 39 (5-6) ◽

pp. 1500-1512 ◽

Author(s):

Fan Yang ◽

Chu-Li Fu

Keyword(s):

Diffusion Equation ◽

Regularization Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Unknown Source ◽

Time Fractional Diffusion Equation

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Regularization methods for unknown source in space fractional diffusion equation

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2012.08.011 ◽

2012 ◽

Vol 85 ◽

pp. 45-56 ◽

Author(s):

WenYi Tian ◽

Can Li ◽

Weihua Deng ◽

Yujiang Wu

Keyword(s):

Diffusion Equation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Regularization Methods ◽

Unknown Source ◽

Space Fractional Diffusion Equation

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Identifying an unknown source in space-fractional diffusion equation

Acta Mathematica Scientia ◽

10.1016/s0252-9602(14)60065-5 ◽

2014 ◽

Vol 34 (4) ◽

pp. 1012-1024 ◽

Author(s):

Fan YANG ◽

Chuli FU ◽

Xiaoxiao LI

Keyword(s):

Diffusion Equation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Unknown Source ◽

Space Fractional Diffusion Equation

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TIKHONOV REGULARIZATION METHOD OF AN INVERSE SPACE-DEPENDENT SOURCE PROBLEM FOR A TIME-SPACE FRACTIONAL DIFFUSION EQUATION

Journal of Applied Analysis & Computation ◽

10.11948/20200397 ◽

2020 ◽

Vol 0 (0) ◽

pp. 0-0

Author(s):

Jing Li ◽

◽

Gongsheng Tong ◽

Rouzi Duan ◽

Shanlin Qin ◽

...

Keyword(s):

Diffusion Equation ◽

Tikhonov Regularization ◽

Regularization Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Tikhonov Regularization Method ◽

Space Fractional Diffusion Equation

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