• DocumentCode
    2859764
  • Title

    Computation of the Schroedinger Equation via the Discrete Derivatives Representation Method: Improvement of Solutions Using Particle Swarm Optimization

  • Author

    Zerarka, A. ; Saidi, H. ; Khelil, N.

  • Author_Institution
    Labo de Math. Appl., UniversiteMed Khider, Biskra, Algeria
  • Volume
    6
  • fYear
    2009
  • fDate
    14-16 Aug. 2009
  • Firstpage
    510
  • Lastpage
    513
  • Abstract
    We develop the discrete derivatives representation method (DDR) to find the physical structures of the Schrodinger equation in which the interpolation polynomial of Bernstein has been used. In this paper the particle swarm optimization (PSO for short) has been suggested as a means to improve qualitatively the solutions. This approach is carefully handled and tested with a numerical example.
  • Keywords
    Schrodinger equation; interpolation; particle swarm optimisation; polynomials; Bernstein interpolation polynomial; PSO; Schroedinger equation; discrete derivative representation method; particle swarm optimization; Eigenvalues and eigenfunctions; Electronic mail; Hydrogen; Interpolation; Partial differential equations; Particle swarm optimization; Physics computing; Polynomials; Testing; Wave functions; Discrete derivatives; particle swarm; spectra; wave function;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Natural Computation, 2009. ICNC '09. Fifth International Conference on
  • Conference_Location
    Tianjin
  • Print_ISBN
    978-0-7695-3736-8
  • Type

    conf

  • DOI
    10.1109/ICNC.2009.17
  • Filename
    5365952