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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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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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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A direct discontinuous Galerkin method for a time-fractional diffusion equation with a Robin boundary condition

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.08.006 ◽

2019 ◽

Vol 135 ◽

pp. 15-29 ◽

Author(s):

Chaobao Huang ◽

Martin Stynes

Keyword(s):

Boundary Condition ◽

Diffusion Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Robin Boundary Condition ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Fractional Diffusion Equation ◽

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Direct discontinuous Galerkin method for solving nonlinear time fractional diffusion equation with weak singularity solution

Applied Mathematics Letters ◽

10.1016/j.aml.2019.106111 ◽

2020 ◽

Vol 102 ◽

pp. 106111 ◽

Author(s):

Jincheng Ren ◽

Chaobao Huang ◽

Na An

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Weak Singularity ◽

Time Fractional Diffusion Equation

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

Complex Variables and Elliptic Equations ◽

10.1080/17476933.2019.1655552 ◽

2019 ◽

Vol 65 (9) ◽

pp. 1445-1461 ◽

Author(s):

Chaobao Huang ◽

Na An ◽

Xijun Yu ◽

Huili Zhang

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Fractional Diffusion Equation

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Discontinuous Galerkin Method for Time Fractional Diffusion Equation

Journal of Information and Computational Science ◽

10.12733/jics20101921 ◽

2013 ◽

Vol 10 (11) ◽

pp. 3253-3264 ◽

Author(s):

Qinwu Xu

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Fractional Diffusion Equation

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A numerical method based on fully discrete direct discontinuous Galerkin method for the time fractional diffusion equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.04.093 ◽

2015 ◽

Vol 264 ◽

pp. 483-492 ◽

Author(s):

Chaobao Huang ◽

Xijun Yu ◽

Cheng Wang ◽

Zhenzhen Li ◽

Na An

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

Numerical Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Fully Discrete ◽

Time Fractional Diffusion Equation

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