• DocumentCode
    1869068
  • Title

    An Improved Iterative Algorithm for Elliptic Equation

  • Author

    Liu, Yang ; Zhang, Liang

  • Author_Institution
    Sch. of Sci., Wuhan Univ. of Technol., Wuhan, China
  • fYear
    2010
  • fDate
    10-12 Dec. 2010
  • Firstpage
    1
  • Lastpage
    3
  • Abstract
    An improved iterative algorithm is presented in this paper for solving finite difference approximation to elliptic equations. This algorithm is based on fourth order finite difference scheme and has obvious property of parallelism. The convergence theory is discussed in detail. Numerical experiments show that the new algorithm has faster convergence rate and higher accuracy than Jacobi method, the iteration number and time for achieving convergence criteria is only a half of the Jacobi method.
  • Keywords
    approximation theory; elliptic equations; finite difference methods; iterative methods; convergence theory; elliptic equation; finite difference approximation; iterative algorithm; Approximation algorithms; Approximation methods; Convergence; Equations; Finite wordlength effects; Iterative methods; Jacobian matrices;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computational Intelligence and Software Engineering (CiSE), 2010 International Conference on
  • Conference_Location
    Wuhan
  • Print_ISBN
    978-1-4244-5391-7
  • Electronic_ISBN
    978-1-4244-5392-4
  • Type

    conf

  • DOI
    10.1109/CISE.2010.5676725
  • Filename
    5676725