• DocumentCode
    3416393
  • Title

    A LDG method for the fourth-order NLS equation

  • Author

    Li, Wenting ; Jiang, Kun ; Lin, Zhidong

  • Author_Institution
    Sch. of Math. Sci., Heilongjiang Univ., Haerbin, China
  • fYear
    2012
  • fDate
    24-26 Aug. 2012
  • Firstpage
    656
  • Lastpage
    659
  • Abstract
    In this paper, a local discontinuous Galerkin (LDG) method is is designed for solving the BBM-Burgers equation with four-order spatial derivatives. Our schemes extend the previous work of Xu and Shu [8] solving the nonlinear Schrödinger equations on LDG method. The L2 stability of the LDG methods is proved for general solutions. Numerical results are shown to illustrate the accuracy and capability of the LDG method.
  • Keywords
    Galerkin method; Schrodinger equation; nonlinear equations; BBM-Burgers equation; L2 stability; LDG method; four-order spatial derivatives; fourth-order NLS equation; local discontinuous Galerkin method; nonlinear Schrödinger equations; 4-order BBM-Burgers equation; LDG method; stability;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer Science and Information Processing (CSIP), 2012 International Conference on
  • Conference_Location
    Xi´an, Shaanxi
  • Print_ISBN
    978-1-4673-1410-7
  • Type

    conf

  • DOI
    10.1109/CSIP.2012.6308939
  • Filename
    6308939
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3416393