Linear Barycentric Rational Method for Solving Schrodinger Equation

A linear barycentric rational collocation method (LBRCM) for solving Schrodinger equation (SDE) is proposed. According to the barycentric interpolation method (BIM) of rational polynomial and Chebyshev polynomial, the matrix form of the collocation method (CM) that is easy to program is obtained. Th...

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Autores principales:	Peichen Zhao, Yongling Cheng
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/7fd7797f0cde4c899c424d7e92023378
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spelling	oai:doaj.org-article:7fd7797f0cde4c899c424d7e920233782021-11-08T02:36:14ZLinear Barycentric Rational Method for Solving Schrodinger Equation2314-478510.1155/2021/5560700https://doaj.org/article/7fd7797f0cde4c899c424d7e920233782021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/5560700https://doaj.org/toc/2314-4785A linear barycentric rational collocation method (LBRCM) for solving Schrodinger equation (SDE) is proposed. According to the barycentric interpolation method (BIM) of rational polynomial and Chebyshev polynomial, the matrix form of the collocation method (CM) that is easy to program is obtained. The convergence rate of the LBRCM for solving the Schrodinger equation is proved from the convergence rate of linear barycentric rational interpolation. Finally, a numerical example verifies the correctness of the theoretical analysis.Peichen ZhaoYongling ChengHindawi LimitedarticleMathematicsQA1-939ENJournal of Mathematics, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 Peichen Zhao Yongling Cheng Linear Barycentric Rational Method for Solving Schrodinger Equation
description	A linear barycentric rational collocation method (LBRCM) for solving Schrodinger equation (SDE) is proposed. According to the barycentric interpolation method (BIM) of rational polynomial and Chebyshev polynomial, the matrix form of the collocation method (CM) that is easy to program is obtained. The convergence rate of the LBRCM for solving the Schrodinger equation is proved from the convergence rate of linear barycentric rational interpolation. Finally, a numerical example verifies the correctness of the theoretical analysis.
format	article
author	Peichen Zhao Yongling Cheng
author_facet	Peichen Zhao Yongling Cheng
author_sort	Peichen Zhao
title	Linear Barycentric Rational Method for Solving Schrodinger Equation
title_short	Linear Barycentric Rational Method for Solving Schrodinger Equation
title_full	Linear Barycentric Rational Method for Solving Schrodinger Equation
title_fullStr	Linear Barycentric Rational Method for Solving Schrodinger Equation
title_full_unstemmed	Linear Barycentric Rational Method for Solving Schrodinger Equation
title_sort	linear barycentric rational method for solving schrodinger equation
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/7fd7797f0cde4c899c424d7e92023378
work_keys_str_mv	AT peichenzhao linearbarycentricrationalmethodforsolvingschrodingerequation AT yonglingcheng linearbarycentricrationalmethodforsolvingschrodingerequation
_version_	1718443108780212224

Linear Barycentric Rational Method for Solving Schrodinger Equation

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