• DocumentCode
    2230854
  • Title

    Rapid convergence for nonlinear fourth-order quasilinear elliptic equations

  • Author

    Xue, Zhzo

  • Author_Institution
    Coll. of Math., Beihua Univ., Jilin, China
  • Volume
    4
  • fYear
    2010
  • fDate
    20-22 Aug. 2010
  • Abstract
    Combining with variational method and lower and upper solutions, we get a quasilinearization method which construct an iterative scheme converging to a solution of a nonlinear fourth-order problem involving the p -Laplacian. At the same time, the result of K -th order convergence for the nonlinear fourth-order problem is obtained via the idea of Taylors approximation.
  • Keywords
    Laplace equations; elliptic equations; iterative methods; Taylors approximation; iterative scheme; nonlinear fourth-order quasilinear elliptic equations; p-Laplacian; Gold; K -th order convergence; Lower and upper solutions; Quasilinearization; Variational method; p -Laplacian;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Advanced Computer Theory and Engineering (ICACTE), 2010 3rd International Conference on
  • Conference_Location
    Chengdu
  • ISSN
    2154-7491
  • Print_ISBN
    978-1-4244-6539-2
  • Type

    conf

  • DOI
    10.1109/ICACTE.2010.5579651
  • Filename
    5579651
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2230854