Linear Barycentric Rational Method for Solving Schrodinger Equation | Zendy

Zhao Pei-chen | Zendy; Yongling Cheng | Zendy

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Linear Barycentric Rational Method for Solving Schrodinger Equation

Author(s) -

Zhao Pei-chen,

Yongling Cheng

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/5560700

Subject(s) - barycentric coordinate system , mathematics , rate of convergence , chebyshev nodes , polynomial interpolation , correctness , polynomial , interpolation (computer graphics) , linear interpolation , mathematical analysis , collocation method , vandermonde matrix , convergence (economics) , rational function , chebyshev polynomials , algorithm , geometry , image (mathematics) , differential equation , channel (broadcasting) , artificial intelligence , economic growth , computer science , ordinary differential equation , economics , engineering , quantum mechanics , eigenvalues and eigenvectors , physics , electrical engineering

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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