Approximate solution of multipoint boundary value problems for linear differential equations by polynomial functions

DOI10.1080/10236190801953864zbMath1160.34010OpenAlexW1991808089MaRDI QIDQ3544278

Ghiocel Groza, Nicolae Pop

Publication date: 5 December 2008

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190801953864

zbMATH Keywords

collocationmultipoint boundary value problemNewton interpolating seriesvanishes identically

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Linear ordinary differential equations and systems (34A30) Approximation by polynomials (41A10) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (5)

A Birkhoff interpolation problem and application ⋮ A Taylor series method for the solution of the linear initial-boundary-value problems for partial differential equations ⋮ A final boundary problem for modeling a thermoelastic Cosserat body ⋮ Reproducing kernel representation of the solution of second order linear three‐point boundary value problem ⋮ Newton interpolating series at \(m\) distinct points with coefficients in a real Banach algebra

Cites Work

• Multipoint boundary value problems by differential quadrature method
• Transcendental numbers. With a foreword by W. Dale Brownawell. Transl. from the Russian by Neal Koblitz
• Collocation at Gaussian Points
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