Volume 7, Issue 4
Analysis of an Implicit Fully Discrete Local Discontinuous Galerkin Method for the Time-Fractional Kdv Equation

Leilei Wei, Yinnian He & Xindong Zhang

Adv. Appl. Math. Mech., 7 (2015), pp. 510-527.

Published online: 2018-05

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  • Abstract

In this paper, we consider a fully discrete local discontinuous Galerkin (LDG) finite element method for a time-fractional Korteweg-de Vries (KdV) equation. The method is based on a finite difference scheme in time and local discontinuous Galerkin methods in space. We show that our scheme is unconditionally stable and convergent through analysis. Numerical examples are shown to illustrate the efficiency and accuracy of our scheme.

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@Article{AAMM-7-510, author = {Leilei Wei, Yinnian He and Xindong Zhang}, title = {Analysis of an Implicit Fully Discrete Local Discontinuous Galerkin Method for the Time-Fractional Kdv Equation}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {7}, number = {4}, pages = {510--527}, abstract = {

In this paper, we consider a fully discrete local discontinuous Galerkin (LDG) finite element method for a time-fractional Korteweg-de Vries (KdV) equation. The method is based on a finite difference scheme in time and local discontinuous Galerkin methods in space. We show that our scheme is unconditionally stable and convergent through analysis. Numerical examples are shown to illustrate the efficiency and accuracy of our scheme.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2013.m220}, url = {http://global-sci.org/intro/article_detail/aamm/12061.html} }
TY - JOUR T1 - Analysis of an Implicit Fully Discrete Local Discontinuous Galerkin Method for the Time-Fractional Kdv Equation AU - Leilei Wei, Yinnian He & Xindong Zhang JO - Advances in Applied Mathematics and Mechanics VL - 4 SP - 510 EP - 527 PY - 2018 DA - 2018/05 SN - 7 DO - http://dor.org/10.4208/aamm.2013.m220 UR - https://global-sci.org/intro/aamm/12061.html KW - AB -

In this paper, we consider a fully discrete local discontinuous Galerkin (LDG) finite element method for a time-fractional Korteweg-de Vries (KdV) equation. The method is based on a finite difference scheme in time and local discontinuous Galerkin methods in space. We show that our scheme is unconditionally stable and convergent through analysis. Numerical examples are shown to illustrate the efficiency and accuracy of our scheme.

Leilei Wei, Yinnian He & Xindong Zhang. (1970). Analysis of an Implicit Fully Discrete Local Discontinuous Galerkin Method for the Time-Fractional Kdv Equation. Advances in Applied Mathematics and Mechanics. 7 (4). 510-527. doi:10.4208/aamm.2013.m220
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