ON CONVERGENCE OF HOMOTOPY ANALYSIS METHOD TO SOLVE THE SCHRODINGER EQUATION WITH A POWER LAW NONLINEARITY

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FARIBORZI ARAGHI M.A.; NAGHSHBAND S.

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Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2013 | Volume:5 | Issue:4 Page(s): 367-374

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Title

ON CONVERGENCE OF HOMOTOPY ANALYSIS METHOD TO SOLVE THE SCHRODINGER EQUATION WITH A POWER LAW NONLINEARITY

Author(s)

FARIBORZI ARAGHI M.A. | NAGHSHBAND S. | Issue Writer Certificate

Keywords

SCHRODINGER EQUATION

POWER LAW NONLINEARITY

HOMOTOPY ANALYSIS MEHOD (HAM)

CONVERGENCE

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 efficiency of the mentioned algorithm and the h-curve is plotted to determine the region of CONVERGENCE.

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APA: Copy

FARIBORZI ARAGHI, M.A., & NAGHSHBAND, S.. (2013). ON CONVERGENCE OF HOMOTOPY ANALYSIS METHOD TO SOLVE THE SCHRODINGER EQUATION WITH A POWER LAW NONLINEARITY. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 5(4), 367-374. SID. https://sid.ir/paper/619204/en

Vancouver: Copy

FARIBORZI ARAGHI M.A., NAGHSHBAND S.. ON CONVERGENCE OF HOMOTOPY ANALYSIS METHOD TO SOLVE THE SCHRODINGER EQUATION WITH A POWER LAW NONLINEARITY. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2013;5(4):367-374. Available from: https://sid.ir/paper/619204/en

IEEE: Copy

M.A. FARIBORZI ARAGHI, and S. NAGHSHBAND, “ON CONVERGENCE OF HOMOTOPY ANALYSIS METHOD TO SOLVE THE SCHRODINGER EQUATION WITH A POWER LAW NONLINEARITY,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 5, no. 4, pp. 367–374, 2013, [Online]. Available: https://sid.ir/paper/619204/en

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