Simultaneous inversion of time-dependent source term and fractional order for a time-fractional diffusion equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.112566 ◽

2020 ◽

Vol 368 ◽

pp. 112566 ◽

Author(s):

Zhousheng Ruan ◽

Sen Zhang

Keyword(s):

Diffusion Equation ◽

Fractional Order ◽

Source Term ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Dependent ◽

Simultaneous Inversion ◽

Time Fractional Diffusion Equation

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Simultaneous inversion of the fractional order and the space-dependent source term for the time-fractional diffusion equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.01.025 ◽

2018 ◽

Vol 328 ◽

pp. 365-379 ◽

Author(s):

Zhousheng Ruan ◽

Wen Zhang ◽

Zewen Wang

Keyword(s):

Diffusion Equation ◽

Fractional Order ◽

Source Term ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Simultaneous Inversion ◽

Time Fractional Diffusion Equation

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Numerical solution of time-dependent component with sparse structure of source term for a time fractional diffusion equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2018.11.012 ◽

2019 ◽

Vol 77 (5) ◽

pp. 1408-1422 ◽

Author(s):

Zhousheng Ruan ◽

Sen Zhang ◽

Wen Zhang

Keyword(s):

Diffusion Equation ◽

Numerical Solution ◽

Source Term ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Dependent ◽

Dependent Component ◽

Time Fractional Diffusion Equation

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Landweber iteration method for simultaneous inversion of the source term and initial data in a time-fractional diffusion equation

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-021-01656-0 ◽

2021 ◽

Author(s):

Jin Wen ◽

Zhuan-Xia Liu ◽

Chong-Wang Yue ◽

Shi-Juan Wang

Keyword(s):

Initial Data ◽

Diffusion Equation ◽

Iteration Method ◽

Source Term ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Simultaneous Inversion ◽

Time Fractional Diffusion Equation

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Simultaneous inversion for the space-dependent diffusion coefficient and the fractional order in the time-fractional diffusion equation

Inverse Problems ◽

10.1088/0266-5611/29/6/065014 ◽

2013 ◽

Vol 29 (6) ◽

pp. 065014 ◽

Author(s):

Gongsheng Li ◽

Dali Zhang ◽

Xianzheng Jia ◽

Masahiro Yamamoto

Keyword(s):

Diffusion Coefficient ◽

Diffusion Equation ◽

Fractional Order ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Simultaneous Inversion ◽

Time Fractional Diffusion Equation

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Reconstruction of a time-dependent source term in a time-fractional diffusion equation

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2012.08.003 ◽

2013 ◽

Vol 37 (1) ◽

pp. 23-31 ◽

Author(s):

T. Wei ◽

Z.Q. Zhang

Keyword(s):

Diffusion Equation ◽

Source Term ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Dependent ◽

Time Fractional Diffusion Equation

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Identification of the time-dependent source term in a multi-term time-fractional diffusion equation

Numerical Algorithms ◽

10.1007/s11075-019-00654-5 ◽

2019 ◽

Vol 82 (4) ◽

pp. 1279-1301 ◽

Author(s):

Y. S. Li ◽

L. L. Sun ◽

Z. Q. Zhang ◽

T. Wei

Keyword(s):

Diffusion Equation ◽

Source Term ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Dependent ◽

Time Fractional Diffusion Equation

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Reconstruction of the temporal component in the source term of a (time-fractional) diffusion equation

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8121/aa763a ◽

2017 ◽

Vol 50 (30) ◽

pp. 305203 ◽

Author(s):

Yikan Liu ◽

Zhidong Zhang

Keyword(s):

Diffusion Equation ◽

Source Term ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Fractional Diffusion Equation

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Simultaneous inversion for the exponents of the fractional time and space derivatives in the space-time fractional diffusion equation

Applicable Analysis ◽

10.1080/00036811.2014.984291 ◽

2014 ◽

Vol 95 (1) ◽

pp. 1-23 ◽

Author(s):

Salİh Tatar ◽

Ramazan Tınaztepe ◽

Süleyman Ulusoy

Keyword(s):

Diffusion Equation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time And Space ◽

Simultaneous Inversion ◽

Time Fractional Diffusion Equation

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Time-fractional diffusion equation with time dependent diffusion coefficient

Physical Review E ◽

10.1103/physreve.72.011107 ◽

2005 ◽

Vol 72 (1) ◽

Author(s):

Kwok Sau Fa ◽

E. K. Lenzi

Keyword(s):

Diffusion Coefficient ◽

Diffusion Equation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Dependent ◽

Time Fractional Diffusion Equation

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Unique determination of fractional order and source term in a fractional diffusion equation from sparse boundary data

Inverse Problems ◽

10.1088/1361-6420/abbc5d ◽

2020 ◽

Vol 36 (11) ◽

pp. 115013

Author(s):

Zhiyuan Li ◽

Zhidong Zhang

Keyword(s):

Diffusion Equation ◽

Fractional Order ◽

Boundary Data ◽

Source Term ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Unique Determination

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