Simultaneous inversion of two initial values for a time‐fractional diffusion‐wave equation

Yun Zhang; Ting Wei; Yuan‐Xiang Zhang

doi:10.1002/num.22517

Simultaneous inversion of two initial values for a time‐fractional diffusion‐wave equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22517 ◽

2020 ◽

Vol 37 (1) ◽

pp. 24-43

Author(s):

Yun Zhang ◽

Ting Wei ◽

Yuan‐Xiang Zhang

Keyword(s):

Wave Equation ◽

Fractional Diffusion ◽

Diffusion Wave ◽

Simultaneous Inversion ◽

Initial Values

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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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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 ◽

Element Free

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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 ◽

Cited By ~ 4

Author(s):

Xuhong Gong ◽

Ting Wei

Keyword(s):

Wave Equation ◽

Source Term ◽

Fractional Diffusion ◽

Time Dependent ◽

Diffusion Wave

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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 ◽

Cited By ~ 13

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 ◽

Cited By ~ 2

Author(s):

Haiyu Liu ◽

Shujuan Lü

Keyword(s):

Wave Equation ◽

Fractional Diffusion ◽

Diffusion Wave

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A high-order scheme to approximate the Caputo fractional derivative and its application to solve the fractional diffusion wave equation

Journal of Computational Physics ◽

10.1016/j.jcp.2018.10.011 ◽

2019 ◽

Vol 376 ◽

pp. 1312-1330 ◽

Cited By ~ 7

Author(s):

Ruilian Du ◽

Yubin Yan ◽

Zongqi Liang

Keyword(s):

Wave Equation ◽

Fractional Derivative ◽

Caputo Fractional Derivative ◽

Fractional Diffusion ◽

High Order ◽

Diffusion Wave ◽

High Order Scheme ◽

Order Scheme

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Multi-dimensionalα-fractional diffusion–wave equation and some properties of its fundamental solution

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.03.020 ◽

2017 ◽

Vol 73 (12) ◽

pp. 2561-2572 ◽

Cited By ~ 8

Author(s):

Lyubomir Boyadjiev ◽

Yuri Luchko

Keyword(s):

Wave Equation ◽

Fundamental Solution ◽

Fractional Diffusion ◽

Diffusion Wave

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Boundary stabilization for time-space fractional diffusion-wave equation

10.1109/icsc50472.2021.9666532 ◽

2021 ◽

Author(s):

Jianping Huang ◽

Hua-Cheng Zhou

Keyword(s):

Wave Equation ◽

Fractional Diffusion ◽

Boundary Stabilization ◽

Diffusion Wave ◽

Time Space

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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 ◽

Cited By ~ 3

Author(s):

Kaifang Liao ◽

Ting Wei

Keyword(s):

Wave Equation ◽

Fractional Order ◽

Source Term ◽

Fractional Diffusion ◽

Diffusion Wave

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