Linear Barycentric Rational Method for Solving Schrodinger Equation-Reference-Cited by-同舟云学术

Linear Barycentric Rational Method for Solving Schrodinger Equation

Published:2021-10-27 Issue: Volume:2021 Page:1-7
ISSN:2314-4785
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Zhao Peichen¹^ORCID,Cheng Yongling²^ORCID

Affiliation:

1. School of Mathematics and Statistics, Heze University, Heze 274015, China

2. College of Science, North China University of Science and Technology, Tangshan 063210, China

Abstract

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.

Funder

Natural Science Foundation of Hebei Province

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2021/5560700.pdf

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