Numerical Solution for Third-Order Two-Point Boundary Value Problems with the Barycentric Rational Interpolation Collocation Method | Zendy

Qian Ge | Zendy; Xiaoping Zhang | Zendy

Open Access

Numerical Solution for Third-Order Two-Point Boundary Value Problems with the Barycentric Rational Interpolation Collocation Method

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 - 10.1155/2021/6698615

Subject(s) - mathematics , barycentric coordinate system , boundary value problem , interpolation (computer graphics) , mathematical analysis , collocation (remote sensing) , third order , numerical analysis , singular boundary method , collocation method , geometry , finite element method , boundary element method , differential equation , ordinary differential equation , frame (networking) , telecommunications , philosophy , theology , computer science , physics , remote sensing , thermodynamics , geology

The numerical solution for a kind of third-order boundary value problems is discussed. With the barycentric rational interpolation collocation method, the matrix form of the third-order two-point boundary value problem is obtained, and the convergence and error analysis are obtained. In addition, some numerical examples are reported to confirm the theoretical analysis.

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