An implicit MLS meshless method for 2-D time dependent fractional diffusion–wave equation

Applied Mathematical Modelling ◽

10.1016/j.apm.2014.08.005 ◽

2015 ◽

Vol 39 (3-4) ◽

pp. 1229-1240 ◽

Author(s):

J.Y. Yang ◽

Y.M. Zhao ◽

N. Liu ◽

W.P. Bu ◽

T.L. Xu ◽

...

Keyword(s):

Wave Equation ◽

Meshless Method ◽

Fractional Diffusion ◽

Time Dependent ◽

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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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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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Identifying a time-dependent zeroth-order coefficient in a time-fractional diffusion-wave equation by using the measured data at a boundary point

Applicable Analysis ◽

10.1080/00036811.2021.1932834 ◽

2021 ◽

pp. 1-26

Author(s):

Ting Wei ◽

Kaifang Liao

Keyword(s):

Wave Equation ◽

Boundary Point ◽

Fractional Diffusion ◽

Measured Data ◽

Time Dependent ◽

Zeroth Order ◽

Diffusion Wave ◽

Order Coefficient

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Determining a time-dependent coefficient in a time-fractional diffusion-wave equation with the Caputo derivative by an additional integral condition

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113910 ◽

2021 ◽

pp. 113910

Author(s):

Ting Wei ◽

Jun Xian

Keyword(s):

Wave Equation ◽

Caputo Derivative ◽

Integral Condition ◽

Fractional Diffusion ◽

Time Dependent ◽

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An efficient meshless method based on RBFs for the time fractional diffusion-wave equation

Afrika Matematika ◽

10.1007/s13370-018-0616-y ◽

2018 ◽

Vol 29 (7-8) ◽

pp. 1203-1214 ◽

Author(s):

Mohammad Aslefallah ◽

Elyas Shivanian

Keyword(s):

Wave Equation ◽

Meshless Method ◽

Fractional Diffusion ◽

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An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate

Numerical Algorithms ◽

10.1007/s11075-016-0201-0 ◽

2016 ◽

Vol 75 (1) ◽

pp. 173-211 ◽

Author(s):

Mostafa Abbaszadeh ◽

Mehdi Dehghan

Keyword(s):

Wave Equation ◽

Error Estimate ◽

Meshless Method ◽

Fractional Diffusion ◽

Two Dimensional ◽

Diffusion Wave ◽

Distributed Order

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Analysis of a meshless method for the time fractional diffusion-wave equation

Numerical Algorithms ◽

10.1007/s11075-016-0103-1 ◽

2016 ◽

Vol 73 (2) ◽

pp. 445-476 ◽

Author(s):

Mehdi Dehghan ◽

Mostafa Abbaszadeh ◽

Akbar Mohebbi

Keyword(s):

Wave Equation ◽

Meshless Method ◽

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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