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On convergence of homotopy analysis method to solve the Schrodinger equation with a power law nonlinearity

عنوان مقاله: On convergence of homotopy analysis method to solve the Schrodinger equation with a power law nonlinearity
شناسه ملی مقاله: JR_IJIM-5-4_009
منتشر شده در در سال 1392
مشخصات نویسندگان مقاله:

M. A. Fariborzi Araghi - Department of Mathematics, Islamic Azad University, Central Tehran Branch, P. O. Box ۱۳۱۸۵.۷۶۸, Tehran, Iran.
S. Naghshband - Department of Mathematics, Islamic Azad University, Central Tehran Branch, P. O. Box ۱۳۱۸۵.۷۶۸, Tehran, Iran.

خلاصه مقاله:
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.

کلمات کلیدی:
Schrodinger equation, Power law nonlinearity, Homotopy analysis method (HAM), Convergence

صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1887436/