Optimal order finite difference/local discontinuous Galerkin method for variable-order time-fractional diffusion equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.113129 ◽

2021 ◽

Vol 383 ◽

pp. 113129

Author(s):

Leilei Wei ◽

Yanfang Yang

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Optimal Order ◽

Variable Order ◽

Local Discontinuous Galerkin ◽

Time Fractional Diffusion Equation

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Space-dependent source determination in a time-fractional diffusion equation using a local discontinuous Galerkin method

BIT Numerical Mathematics ◽

10.1007/s10543-017-0648-y ◽

2017 ◽

Vol 57 (3) ◽

pp. 685-707 ◽

Author(s):

S. Yeganeh ◽

R. Mokhtari ◽

J. S. Hesthaven

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Local Discontinuous Galerkin ◽

Source Determination ◽

Time Fractional Diffusion Equation

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A local discontinuous Galerkin method for time-fractional diffusion equation with discontinuous coefficient

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.11.003 ◽

2020 ◽

Vol 151 ◽

pp. 367-379 ◽

Author(s):

Chaobao Huang ◽

Na An ◽

Xijun Yu

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Discontinuous Coefficient ◽

Local Discontinuous Galerkin ◽

Time Fractional Diffusion Equation

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Central local discontinuous Galerkin method for the space fractional diffusion equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2019.02.002 ◽

2019 ◽

Vol 78 (5) ◽

pp. 1274-1287 ◽

Author(s):

Jing Sun ◽

Daxin Nie ◽

Weihua Deng

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Local Discontinuous Galerkin ◽

Space Fractional Diffusion Equation

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Local discontinuous Galerkin method for the fractional diffusion equation with integral fractional Laplacian

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.11.007 ◽

2021 ◽

Vol 104 ◽

pp. 44-49

Author(s):

Daxin Nie ◽

Weihua Deng

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Fractional Laplacian ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Local Discontinuous Galerkin

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Analysis of a new finite difference/local discontinuous Galerkin method for the fractional diffusion-wave equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.01.054 ◽

2017 ◽

Vol 304 ◽

pp. 180-189 ◽

Author(s):

Leilei Wei

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Wave ◽

Local Discontinuous Galerkin

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Error Estimate of a Fully Discrete Local Discontinuous Galerkin Method for Variable-Order Time-Fractional Diffusion Equations

Communications on Applied Mathematics and Computation ◽

10.1007/s42967-020-00081-7 ◽

2020 ◽

Author(s):

Leilei Wei ◽

Shuying Zhai ◽

Xindong Zhang

Keyword(s):

Error Estimate ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Variable Order ◽

Fractional Diffusion Equations ◽

Fully Discrete ◽

Local Discontinuous Galerkin

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Stability and convergence of a local discontinuous Galerkin method for the fractional diffusion equation with distributed order

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-018-1182-z ◽

2018 ◽

Vol 59 (1-2) ◽

pp. 323-341 ◽

Author(s):

Leilei Wei ◽

Lijie Liu ◽

Huixia Sun

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Stability And Convergence ◽

Local Discontinuous Galerkin ◽

Distributed Order

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Solving a non-linear fractional convection-diffusion equation using local discontinuous Galerkin method

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.02.003 ◽

2021 ◽

Vol 165 ◽

pp. 22-34

Author(s):

Hamid Safdari ◽

Majid Rajabzadeh ◽

Moein Khalighi

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Local Discontinuous Galerkin ◽

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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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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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