• Title of article

    On convergence of homotopy analysis method to solve the

  • Author/Authors

    Fariborzi Araghi، M. A. نويسنده Department of Mathematics, Islamic Azad University, Central Tehran Branch,P.O.Bax 13185.768 , , Naghshband، S. نويسنده Department of Mathematics, Islamic Azad University, Central Tehran Branch, P. O. Box 13185.768, Tehran, Iran ,

  • Issue Information
    فصلنامه با شماره پیاپی 0 سال 2013
  • Pages
    8
  • From page
    367
  • To page
    374
  • Abstract
    در اين مقاله، روش تحليل هموتوپي براي به دست آوردن جواب معادله شرودينگر با يك بخش غير خطي قوي در نظر گرفته مي شود. به اين منظور، يك قضيه براي نشان دادن همگرايي جواب سري حاصل از روش پيشنهادي اثبات مي شود. همچنين، يك مثال براي تاييد كارايي الگوريتم مذكور حل مي گردد و h–منحني براي مشخص كردن ناحيه همگرايي رسم مي شود.
  • Abstract
    In this paper, the homotopy analysis method (HAM) is considered to obtain the solution of the Schrodinger equation with a power law nonlinearity. For this purpose, a theorem is proved to show the convergence of the series solution obtained from the proposed method. Also, an example is solved to illustrate the eciency of the mentioned algorithm and the h-curve is plotted to determine the region of convergence.
  • Journal title
    International Journal of Industrial Mathematics(IJIM)
  • Serial Year
    2013
  • Journal title
    International Journal of Industrial Mathematics(IJIM)
  • Record number

    984053

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=984053