• DocumentCode
    3407558
  • Title

    A method to select the initial guess solution, auxiliary linear operator and set of basic functions of homotopy analysis method

  • Author

    Yinshan ; Chaolu, T.

  • Author_Institution
    Coll. of Sci., Inner Mongolia Univ. of Technol., Hohhot, China
  • fYear
    2010
  • fDate
    22-24 Oct. 2010
  • Firstpage
    410
  • Lastpage
    412
  • Abstract
    In this paper, we clearly give a method to determine the initial guess solution, auxiliary linear operator and set of basic functions of the homotopy analysis method one by one. As application, we considered the Thomas-Fermi equation and non-linear heat transfer equation to illustrate the effectiveness and convenience of the suggested method.
  • Keywords
    Thomas-Fermi model; heat transfer; nonlinear equations; Thomas-Fermi equation; auxiliary linear operator; homotopy analysis method; initial guess solution; nonlinear heat transfer equation; Gold; component; homotopy analysis method; the auxiliary linear operator; the initial guess solution; the set of basic functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Intelligent Computing and Integrated Systems (ICISS), 2010 International Conference on
  • Conference_Location
    Guilin
  • Print_ISBN
    978-1-4244-6834-8
  • Type

    conf

  • DOI
    10.1109/ICISS.2010.5656089
  • Filename
    5656089