Numerical algorithm based on an implicit fully discrete local discontinuous Galerkin method for the fractional diffusion-wave equation

Huiya Dai; Leilei Wei; Xindong Zhang

doi:10.1007/s11075-014-9827-y

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 ◽

Cited By ~ 13

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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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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Local discontinuous Galerkin method for distributed-order time-fractional diffusion-wave equation: Application of Laplace transform

Authorea ◽

10.22541/au.158291307.73446559 ◽

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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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 ◽

Cited By ~ 4

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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Stability and convergence of a fully discrete local discontinuous Galerkin method for multi-term time fractional diffusion equations

Numerical Algorithms ◽

10.1007/s11075-017-0277-1 ◽

2017 ◽

Vol 76 (3) ◽

pp. 695-707 ◽

Cited By ~ 12

Author(s):

Leilei Wei

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Stability And Convergence ◽

Fractional Diffusion Equations ◽

Fully Discrete ◽

Local Discontinuous Galerkin

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Numerical algorithm based on an implicit fully discrete local discontinuous Galerkin method for the time-fractional KdV-Burgers-Kuramoto equation

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.201200003 ◽

2012 ◽

Vol 93 (1) ◽

pp. 14-28 ◽

Cited By ~ 12

Author(s):

L. Wei ◽

Y. He ◽

A. Yildirim ◽

S. Kumar

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Numerical Algorithm ◽

Local Discontinuous Galerkin Method ◽

Fully Discrete ◽

Local Discontinuous Galerkin

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A fully discrete direct discontinuous Galerkin Method for the fractional diffusion-wave equation

Applicable Analysis ◽

10.1080/00036811.2017.1281407 ◽

2017 ◽

Vol 97 (4) ◽

pp. 659-675 ◽

Cited By ~ 4

Author(s):

Chaobao Huang ◽

Na An ◽

Xijun Yu

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Wave ◽

Fully Discrete

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New local discontinuous Galerkin method for a fractional time diffusion wave equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2018.1535110 ◽

2018 ◽

Vol 96 (9) ◽

pp. 1818-1838 ◽

Cited By ~ 1

Author(s):

S. Qasemi ◽

D. Rostamy

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Diffusion Wave ◽

Local Discontinuous Galerkin

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A fully discrete local discontinuous Galerkin method for one-dimensional time-fractional Fisher's equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2013.866233 ◽

2014 ◽

Vol 91 (9) ◽

pp. 2021-2038 ◽

Cited By ~ 10

Author(s):

Xindong Zhang ◽

Yinnian He ◽

Leilei Wei ◽

Bo Tang ◽

Shaoli Wang

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

One Dimensional ◽

Fisher’S Equation ◽

Fully Discrete ◽

Local Discontinuous Galerkin ◽

Fisher's Equation

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Analysis of the fractional Kawahara equation using an implicit fully discrete local discontinuous Galerkin method

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21756 ◽

2012 ◽

Vol 29 (5) ◽

pp. 1441-1458 ◽

Cited By ~ 10

Author(s):

Leilei Wei ◽

Yinnian He ◽

Bo Tang

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Kawahara Equation ◽

Fully Discrete ◽

Local Discontinuous Galerkin

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An Energy Conserving Local Discontinuous Galerkin Method for a Nonlinear Variational Wave Equation

Communications in Computational Physics ◽

10.4208/cicp.oa-2016-0189 ◽

2018 ◽

Vol 23 (3) ◽

Cited By ~ 1

Author(s):

Nianyu Yi ◽

Hailiang Liu

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin ◽

Energy Conserving ◽

Variational Wave

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