Linear Barycentric Rational Method for Solving Schrodinger Equation

Peichen Zhao, Yongling Cheng and Ram Jiwari

Journal of Mathematics, 2021, vol. 2021, 1-7

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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5560700

DOI: 10.1155/2021/5560700

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