Two-point Taylor expansions and one-dimensional boundary value problems

DOI10.1090/S0025-5718-10-02370-7zbMath1213.34026OpenAlexW2085971571MaRDI QIDQ3160732

Ester Pérez Sinusía, José Luis López

Publication date: 8 October 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-10-02370-7

zbMATH Keywords

boundary value problemexistence and uniquenesssecond order linear differential equationstwo-point Taylor expansions

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (4)

Sequences of well-distributed vertices on graphs and spectral bounds on optimal transport ⋮ A new spectral method for a class of linear boundary value problems ⋮ The use of two-point Taylor expansions in singular one-dimensional boundary value problems I ⋮ A three-point Taylor algorithm for three-point boundary value problems

Cites Work

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• Multi-point Taylor approximations in one-dimensional linear boundary value problems
• Taylor polynomial solutions of linear differential equations.
• Two‐Point Taylor Expansions of Analytic Functions
• On the Asymptotic and Numerical Solution of Linear Ordinary Differential Equations
• A method for the approximate solution of the second‐order linear differential equations in terms of Taylor polynomials

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