A Numerical Method Based on the Jacobi Polynomials to Reconstruct an Unknown Source Term in a Time Fractional Diffusion-wave Equation

Taiwanese Journal of Mathematics ◽

10.11650/tjm/181210 ◽

2019 ◽

Vol 23 (5) ◽

pp. 1271-1289

Author(s):

Somayeh Nemati ◽

Afshin Babaei

Keyword(s):

Wave Equation ◽

Numerical Method ◽

Source Term ◽

Jacobi Polynomials ◽

Fractional Diffusion ◽

Diffusion Wave ◽

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

Inverse Problems in Science and Engineering ◽

10.1080/17415977.2018.1539481 ◽

2018 ◽

Vol 27 (11) ◽

pp. 1577-1594 ◽

Author(s):

Xuhong Gong ◽

Ting Wei

Keyword(s):

Wave Equation ◽

Source Term ◽

Fractional Diffusion ◽

Time Dependent ◽

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Identifying a fractional order and a space source term in a time-fractional diffusion-wave equation simultaneously

Inverse Problems ◽

10.1088/1361-6420/ab383f ◽

2019 ◽

Vol 35 (11) ◽

pp. 115002 ◽

Author(s):

Kaifang Liao ◽

Ting Wei

Keyword(s):

Wave Equation ◽

Fractional Order ◽

Source Term ◽

Fractional Diffusion ◽

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Fourth-order numerical method for the space–time tempered fractional diffusion-wave equation

Applied Mathematics Letters ◽

10.1016/j.aml.2017.04.011 ◽

2017 ◽

Vol 73 ◽

pp. 120-127 ◽

Author(s):

Mehdi Dehghan ◽

Mostafa Abbaszadeh ◽

Weihua Deng

Keyword(s):

Wave Equation ◽

Numerical Method ◽

Fourth Order ◽

Fractional Diffusion ◽

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Unconditionally convergent numerical method for the two-dimensional nonlinear time fractional diffusion-wave equation

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.06.019 ◽

2019 ◽

Vol 146 ◽

pp. 1-12 ◽

Author(s):

Hui Zhang ◽

Xiaoyun Jiang

Keyword(s):

Wave Equation ◽

Numerical Method ◽

Fractional Diffusion ◽

Two Dimensional ◽

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Simultaneous Inversion of a Time-Dependent Potential Coefficient and a Time Source Term in a Time Fractional Diffusion-Wave Equation

SSRN Electronic Journal ◽

10.2139/ssrn.3936371 ◽

2021 ◽

Author(s):

Xiongbin Yan ◽

Zhengqiang Zhang ◽

Ting Wei

Keyword(s):

Wave Equation ◽

Source Term ◽

Fractional Diffusion ◽

Time Dependent ◽

Potential Coefficient ◽

Diffusion Wave ◽

Simultaneous Inversion ◽

Dependent Potential

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Numerical Method for Simulation of Fractional Diffusion-Wave Equation

Fractional Order Processes ◽

10.1201/9780429504433-6 ◽

2018 ◽

pp. 191-198

Author(s):

Seshu Kumar Damarla

Keyword(s):

Wave Equation ◽

Numerical Method ◽

Fractional Diffusion ◽

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RECOVERING A SPACE-DEPENDENT SOURCE TERM IN A TIME-FRACTIONAL DIFFUSION WAVE EQUATION

Journal of Applied Analysis & Computation ◽

10.11948/20180318 ◽

2019 ◽

Vol 9 (5) ◽

pp. 1801-1821

Author(s):

Ting Wei ◽

◽

Xiongbin Yan

Keyword(s):

Wave Equation ◽

Source Term ◽

Fractional Diffusion ◽

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A second-order accurate numerical method for the space–time tempered fractional diffusion-wave equation

Applied Mathematics Letters ◽

10.1016/j.aml.2016.12.010 ◽

2017 ◽

Vol 68 ◽

pp. 87-93 ◽

Author(s):

Minghua Chen ◽

Weihua Deng

Keyword(s):

Wave Equation ◽

Numerical Method ◽

Fractional Diffusion ◽

Second Order ◽

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Determination of a distribution in a source term of a time fractional diffusion-wave equation

Fractional Differential Calculus ◽

10.7153/fdc-2018-08-14 ◽

2018 ◽

pp. 223-232

Author(s):

Andrzej Lopushansky ◽

Halyna Lopushanska

Keyword(s):

Wave Equation ◽

Source Term ◽

Fractional Diffusion ◽

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Determine a Space-Dependent Source Term in a Time Fractional Diffusion-Wave Equation

Acta Applicandae Mathematicae ◽

10.1007/s10440-019-00248-2 ◽

2019 ◽

Vol 165 (1) ◽

pp. 163-181 ◽

Author(s):

X. B. Yan ◽

T. Wei

Keyword(s):

Wave Equation ◽

Source Term ◽

Fractional Diffusion ◽

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