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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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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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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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 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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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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Local discontinuous Galerkin method for distributed‐order time‐fractional diffusion‐wave equation: Application of Laplace transform

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7077 ◽

2020 ◽

Author(s):

Hadi Mohammadi‐Firouzjaei ◽

Hojatollah Adibi ◽

Mehdi Dehghan

Keyword(s):

Wave Equation ◽

Laplace Transform ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Wave ◽

Local Discontinuous Galerkin ◽

Distributed Order

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A fast element-free Galerkin method for the fractional diffusion-wave equation

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107529 ◽

2021 ◽

pp. 107529

Author(s):

Xiaolin Li ◽

Shuling Li

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Fractional Diffusion ◽

Element Free Galerkin Method ◽

Diffusion Wave ◽

Element Free Galerkin ◽

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Numerical algorithm based on an implicit fully discrete local discontinuous Galerkin method for the fractional diffusion-wave equation

Numerical Algorithms ◽

10.1007/s11075-014-9827-y ◽

2014 ◽

Vol 67 (4) ◽

pp. 845-862 ◽

Author(s):

Huiya Dai ◽

Leilei Wei ◽

Xindong Zhang

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Numerical Algorithm ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Wave ◽

Fully Discrete ◽

Local Discontinuous Galerkin

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Gauss-Lobatto-Legendre-Birkhoff pseudospectral approximations for the multi-term time fractional diffusion-wave equation with Neumann boundaryconditions

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22284 ◽

2018 ◽

Vol 34 (6) ◽

pp. 2217-2236 ◽

Author(s):

Haiyu Liu ◽

Shujuan Lü

Keyword(s):

Wave Equation ◽

Fractional Diffusion ◽

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