Linear Barycentric Rational Method for Solving Schrodinger Equation

被引：0
|
作者：
Zhao, Peichen [1 ]
Cheng, Yongling [2 ]
机构：
[1] Heze Univ, Sch Math & Stat, Heze 274015, Peoples R China
[2] North China Univ Sci & Technol, Coll Sci, Tangshan 063210, Peoples R China
来源：
JOURNAL OF MATHEMATICS | 2021年 / 2021卷
关键词：
DERIVATIVES; RATES;
D O I：
10.1155/2021/5560700
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页数：7
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