A new spectral method for a class of linear boundary value problems

DOI10.1016/j.cam.2015.07.015zbMath1327.65139OpenAlexW1154449971MaRDI QIDQ495121

Francesco Aldo Costabile, Anna Napoli

Publication date: 9 September 2015

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2015.07.015

zbMATH Keywords

boundary value problemspectral methodsBernoulli polynomials

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (7)

A new collocation algorithm for solving even-order boundary value problems via a novel matrix method ⋮ Solutions of linear second order initial value problems by using Bernoulli polynomials ⋮ New numerical solutions for solving Kidder equation by using the rational Jacobi functions ⋮ A block hybrid method for non-linear second order boundary value problems ⋮ Bernstein polynomial basis for numerical solution of boundary value problems ⋮ Odd and even Lidstone-type polynomial sequences. II: Applications ⋮ New formulas for the repeated integrals of some Jacobi polynomials: spectral solutions of even-order boundary value problems

Uses Software

• Chebfun

Cites Work

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