Recovering space-dependent source for a time-space fractional diffusion wave equation by fractional Landweber method

Inverse Problems in Science and Engineering ◽

10.1080/17415977.2020.1815724 ◽

2020 ◽

pp. 1-22

Author(s):

Su-Zhen Jiang ◽

Yu-Jiang Wu

Keyword(s):

Wave Equation ◽

Fractional Diffusion ◽

Diffusion Wave ◽

Landweber Method

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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 ◽

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A high-order numerical algorithm for two-dimensional time–space tempered fractional diffusion-wave equation

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.08.005 ◽

2019 ◽

Vol 135 ◽

pp. 30-46 ◽

Author(s):

Hengfei Ding

Keyword(s):

Wave Equation ◽

Numerical Algorithm ◽

Fractional Diffusion ◽

Two Dimensional ◽

Diffusion Wave ◽

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Landweber iterative method for identifying the initial value problem of the time-space fractional diffusion-wave equation

Numerical Algorithms ◽

10.1007/s11075-019-00734-6 ◽

2019 ◽

Vol 83 (4) ◽

pp. 1509-1530 ◽

Author(s):

Fan Yang ◽

Yan Zhang ◽

Xiao-Xiao Li

Keyword(s):

Wave Equation ◽

Iterative Method ◽

Initial Value Problem ◽

Fractional Diffusion ◽

Initial Value ◽

Diffusion Wave ◽

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A highly efficient reduced-order extrapolated finite difference algorithm for time–space tempered fractional diffusion-wave equation

Applied Mathematics Letters ◽

10.1016/j.aml.2019.106090 ◽

2020 ◽

Vol 102 ◽

pp. 106090 ◽

Author(s):

Zhendong Luo ◽

Hui Wang

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Fractional Diffusion ◽

Diffusion Wave ◽

Reduced Order ◽

Highly Efficient ◽

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The Unstructured Mesh Finite Element Method for the Two-Dimensional Multi-term Time–Space Fractional Diffusion-Wave Equation on an Irregular Convex Domain

Journal of Scientific Computing ◽

10.1007/s10915-018-0694-x ◽

2018 ◽

Vol 77 (1) ◽

pp. 27-52 ◽

Author(s):

Wenping Fan ◽

Xiaoyun Jiang ◽

Fawang Liu ◽

Vo Anh

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Wave Equation ◽

Convex Domain ◽

Unstructured Mesh ◽

Fractional Diffusion ◽

Two Dimensional ◽

Diffusion Wave ◽

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Exact solution with existence and uniqueness conditions for multi-dimensional time-space tempered fractional diffusion-wave equation

Engineering With Computers ◽

10.1007/s00366-020-01029-4 ◽

2020 ◽

Author(s):

Pratibha Verma ◽

Manoj Kumar

Keyword(s):

Exact Solution ◽

Wave Equation ◽

Existence And Uniqueness ◽

Fractional Diffusion ◽

Diffusion Wave ◽

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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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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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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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