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

سال انتشار: 1392
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 88

فایل این مقاله در 8 صفحه با فرمت PDF قابل دریافت می باشد

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این مقاله:

شناسه ملی سند علمی:

JR_IJIM-5-4_009

تاریخ نمایه سازی: 27 دی 1402

چکیده 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.

کلیدواژه ها:

Schrodinger equation ، Power law nonlinearity ، Homotopy analysis method (HAM) ، Convergence

نویسندگان

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.