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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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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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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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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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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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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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 ◽

Author(s):

Ruilian Du ◽

Yubin Yan ◽

Zongqi Liang

Keyword(s):

Wave Equation ◽

Fractional Derivative ◽

Caputo Fractional Derivative ◽

Fractional Diffusion ◽

Diffusion Wave ◽

High Order Scheme ◽

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