A numerical study based on an implicit fully discrete local discontinuous Galerkin method for the time-fractional coupled Schrödinger system

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2012.07.004 ◽

2012 ◽

Vol 64 (8) ◽

pp. 2603-2615 ◽

Author(s):

Leilei Wei ◽

Xindong Zhang ◽

Sunil Kumar ◽

Ahmet Yildirim

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Numerical Study ◽

Local Discontinuous Galerkin Method ◽

Fully Discrete ◽

Local Discontinuous Galerkin ◽

Coupled Schrödinger System ◽

Schrödinger System

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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 ◽

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 ◽

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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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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A Fully-Discrete Local Discontinuous Galerkin Method for Convection-Dominated Sobolev Equation

Journal of Scientific Computing ◽

10.1007/s10915-011-9498-y ◽

2011 ◽

Vol 51 (1) ◽

pp. 107-134 ◽

Author(s):

Qiang Zhang ◽

Fuzheng Gao

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Sobolev Equation ◽

Fully Discrete ◽

Local Discontinuous Galerkin ◽

Convection Dominated

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Fully discrete local discontinuous Galerkin method for solving the fractional telegraph equation

CALCOLO ◽

10.1007/s10092-013-0084-6 ◽

2013 ◽

Vol 51 (1) ◽

pp. 175-192 ◽

Author(s):

Leilei Wei ◽

Huiya Dai ◽

Dingling Zhang ◽

Zhiyong Si

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Telegraph Equation ◽

Fully Discrete ◽

Local Discontinuous Galerkin ◽

Fractional Telegraph Equation

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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 ◽

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 ◽

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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Conservative Local Discontinuous Galerkin method for the fractional Klein-Gordon-Schrödinger system with generalized Yukawa interaction

Numerical Algorithms ◽

10.1007/s11075-019-00761-3 ◽

2019 ◽

Vol 84 (1) ◽

pp. 407-425 ◽

Author(s):

P. Castillo ◽

S. Gómez

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Yukawa Interaction ◽

Local Discontinuous Galerkin ◽

Klein Gordon ◽

Schrödinger System

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An efficient fully-discrete local discontinuous Galerkin method for the Cahn–Hilliard–Hele–Shaw system

Journal of Computational Physics ◽

10.1016/j.jcp.2014.01.037 ◽

2014 ◽

Vol 264 ◽

pp. 23-40 ◽

Author(s):

Ruihan Guo ◽

Yinhua Xia ◽

Yan Xu

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Fully Discrete ◽

Local Discontinuous Galerkin

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Analysis of an implicit fully discrete local discontinuous Galerkin method for the time-fractional Schrödinger equation

Finite Elements in Analysis and Design ◽

10.1016/j.finel.2012.03.008 ◽

2012 ◽

Vol 59 ◽

pp. 28-34 ◽

Author(s):

Leilei Wei ◽

Yinnian He ◽

Xindong Zhang ◽

Shaoli Wang

Keyword(s):

Schrödinger Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Schrodinger Equation ◽

Local Discontinuous Galerkin Method ◽

Fractional Schrödinger Equation ◽

Fully Discrete ◽

Local Discontinuous Galerkin ◽

Fractional Schrodinger Equation

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