• DocumentCode
    518703
  • Title

    Notice of Retraction
    An effective computational method for periodical model with small parameter

  • Author

    Xin Cai

  • Author_Institution
    Sch. of Sci., Zhejiang Univ. of Sci. & Technol., Hangzhou, China
  • Volume
    3
  • fYear
    2010
  • fDate
    27-29 March 2010
  • Firstpage
    414
  • Lastpage
    417
  • Abstract
    Notice of Retraction

    After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.

    We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.

    The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.

    In this paper the equation with periodical condition and small parameter is considered. The equation will lose boundary condition and lead to large oscillation in boundary layer. The properties of the equation is studied firstly. The analytical solution is decomposed into the smooth component and the singular component. The asymptotic solution is proposed secondly. The asymptotic solution is used to solve the equation outside the boundary layer. Based on Shishkin-type mesh, fitted mesh method is presented for boundary layer thirdly. Error estimation of our method is studied finally.
  • Keywords
    boundary layers; boundary-value problems; error analysis; Shishkin type mesh; asymptotic solution; boundary layer; error estimation; fitted mesh method; periodical model; small parameter; Boundary conditions; Differential equations; Error analysis; asymptotic solution; error estimation; fitted mesh method; periodical condition;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Advanced Computer Control (ICACC), 2010 2nd International Conference on
  • Conference_Location
    Shenyang
  • Print_ISBN
    978-1-4244-5845-5
  • Type

    conf

  • DOI
    10.1109/ICACC.2010.5486826
  • Filename
    5486826