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Iranian Journal of Mathematical Sciences and Informatics، جلد ۱۳، شماره ۱، صفحات ۱۱۱-۱۲۹
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عنوان انگلیسی A New High Order Closed Newton-Cotes Trigonometrically-fitted Formulae for the Numerical Solution of the Schrodinger Equation
چکیده انگلیسی مقاله In this paper, we investigate the connection between closed Newton-Cotes formulae, trigonometrically-fitted methods, symplectic integrators and efficient integration of the Schr¨odinger equation. The study of multistep symplectic integrators is very poor although in the last decades several one step symplectic integrators have been produced based on symplectic geometry (see the relevant literature and the references here). In this paper we study the closed Newton-Cotes formulae and we write them as symplectic multilayer structures. Based on the closed Newton-Cotes formulae, we also develop trigonometrically-fitted symplectic methods. An error analysis for the onedimensional Schrodinger equation of the new developed methods and a comparison with previous developed methods is also given. We apply the new symplectic schemes to the well-known radial Schr¨odinger equation in order to investigate the efficiency of the proposed method to these type of problems.
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نویسندگان مقاله | A. Shokri
Faculty of Mathematical Science, University of Maragheh, Maragheh, Iran


| H. Saadat
Faculty of Mathematical Science, University of Maragheh, Maragheh, Iran


| A. R. Khodadadi
Faculty of Mathematical Science, University of Maragheh, Maragheh, Iran
نشانی اینترنتی http://ijmsi.ir/browse.php?a_code=A-10-1649-1&slc_lang=en&sid=1
فایل مقاله اشکال در دسترسی به فایل - ./files/site1/rds_journals/456/article-456-581648.pdf
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زبان مقاله منتشر شده en
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نوع مقاله منتشر شده پژوهشی
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