• DocumentCode
    251617
  • Title

    Construction of adaptive artificial boundary conditions using the invariant ratios for Schr??dinger equation

  • Author

    Trofimov, Vyacheslav A. ; Trykin, Evgeny M.

  • Author_Institution
    Fac. of Comput. Math. & Cybern., Lomonosov Moscow State Univ., Moscow, Russia
  • fYear
    2014
  • fDate
    26-29 Sept. 2014
  • Firstpage
    1
  • Lastpage
    4
  • Abstract
    We propose a new way for computation of local wave number or instantaneous frequency, which is used in adaptive artificial boundary conditions using for nonlinear 1D Schrödinger equation. Computer simulation results, obtained by using of this method, are compared with corresponding results obtained by solving this equation with zero-value boundary condition for enough bigger size of domain and demonstrated the efficiency of proposed method.
  • Keywords
    Schrodinger equation; finite difference methods; nonlinear differential equations; adaptive artificial boundary conditions; computer simulation; instantaneous frequency; invariant ratios; local wave number; nonlinear 1D Schrodinger equation; zero value boundary condition; Artificial intelligence; Boundary conditions; Computer simulation; Equations; Finite difference methods; Laser beams; Mathematical model;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Design & Test Symposium (EWDTS), 2014 East-West
  • Conference_Location
    Kiev
  • Type

    conf

  • DOI
    10.1109/EWDTS.2014.7027098
  • Filename
    7027098
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=251617