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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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 ◽

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

Download Full-text

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) ◽

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

Download Full-text

A Local Discontinuous Galerkin Method for Two-Dimensional Time Fractional Diffusion Equations

Communications on Applied Mathematics and Computation ◽

10.1007/s42967-020-00065-7 ◽

2020 ◽

Vol 2 (4) ◽

pp. 689-709

Author(s):

Somayeh Yeganeh ◽

Reza Mokhtari ◽

Jan S. Hesthaven

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Two Dimensional ◽

Fractional Diffusion Equations ◽

Local Discontinuous Galerkin

Download Full-text

On the Convergence of the Local Discontinuous Galerkin Method Applied to a Stationary One Dimensional Fractional Diffusion Problem

Journal of Scientific Computing ◽

10.1007/s10915-020-01335-5 ◽

2020 ◽

Vol 85 (2) ◽

Author(s):

P. Castillo ◽

S. Gómez

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Problem ◽

One Dimensional ◽

Local Discontinuous Galerkin

Download Full-text

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

Download Full-text

Local discontinuous Galerkin method for the nonlocal one-way water wave equation

Journal of King Saud University - Science ◽

10.1016/j.jksus.2018.11.003 ◽

2019 ◽

Vol 31 (4) ◽

pp. 1014-1019

Author(s):

Shuming Liu ◽

Can Li

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin

Download Full-text

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

Download Full-text