full
search.png

Search

close.png

Cancel

arrow
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

DOI: 10.4208/aamm.2013.m220

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

Published online: 2018-05

Preview Purchase PDF 2371 34924

Cited by

google scholar semantic scholar
Export citation
  • 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.

  • Keywords

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{AAMM-7-510, author = {Wei , LeileiHe , Yinnian and Zhang , Xindong}, 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 - Wei , Leilei AU - He , Yinnian AU - Zhang , Xindong JO - Advances in Applied Mathematics and Mechanics VL - 4 SP - 510 EP - 527 PY - 2018 DA - 2018/05 SN - 7 DO - http://doi.org/10.4208/aamm.2013.m220 UR - https://global-sci.org/intro/article_detail/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.

Wei , LeileiHe , Yinnian and Zhang , Xindong. (2018). 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
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard