On convergence of homotopy analysis method to solve the Schrodinger equation with a power law nonlinearity
Publish Year: 1392
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJIM-5-4_009
تاریخ نمایه سازی: 27 دی 1402
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.
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Authors
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.