• DocumentCode
    547370
  • Title

    Local discontinuous Galerkin methods for the Rosenau-Burgers equation

  • Author

    Li, Wenting ; Jiang, Kun ; Yao, Mingchen

  • Author_Institution
    Sch. of Math. Sci., Heilongjiang Univ., Harbin, China
  • Volume
    3
  • fYear
    2011
  • fDate
    10-12 June 2011
  • Firstpage
    574
  • Lastpage
    577
  • Abstract
    In this paper, a local discontinuous Galerkin(LDG) method is designed for solving the Rosenau-Burgers equation with four-order spatial derivatives. Our schemes extend the previous work of Xu and Shu on solving the Camassa-Holm equations on LDG method. The L2 stability of the LDG methods is proved for general solutions. Numerical results are shown to illustrate the capability of the LDG method.
  • Keywords
    Galerkin method; stability; L2 stability; LDG methods; Rosenau-Burgers equation; four-order spatial derivatives; local discontinuous galerkin methods; Boundary conditions; Entropy; Equations; Moment methods; Numerical stability; Propagation; Stability criteria;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer Science and Automation Engineering (CSAE), 2011 IEEE International Conference on
  • Conference_Location
    Shanghai
  • Print_ISBN
    978-1-4244-8727-1
  • Type

    conf

  • DOI
    10.1109/CSAE.2011.5952744
  • Filename
    5952744
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=547370