Linear Barycentric Rational Method for Two-Point Boundary Value Equations | Zendy

Qian Ge | Zendy; Xiaoping Zhang | Zendy

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Linear Barycentric Rational Method for Two-Point Boundary Value Equations

Author(s) -

Qian Ge,

Xiaoping Zhang

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 - 10.1155/2021/8874432

Subject(s) - barycentric coordinate system , mathematics , rate of convergence , boundary value problem , mathematical analysis , interpolation (computer graphics) , collocation method , collocation (remote sensing) , linear interpolation , convergence (economics) , geometry , polynomial , differential equation , ordinary differential equation , computer science , animation , channel (broadcasting) , computer graphics (images) , computer network , machine learning , economic growth , economics

Linear barycentric rational method for solving two-point boundary value equations is presented. The matrix form of the collocation method is also obtained. With the help of the convergence rate of the interpolation, the convergence rate of linear barycentric rational collocation method for solving two-point boundary value problems is proved. Several numerical examples are provided to validate the theoretical analysis.

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