Trigonometric collocation methods based on Lagrange basis polynomials for multi-frequency oscillatory second-order differential equations

DOI10.1016/j.cam.2016.09.017zbMath1353.65074arXiv1608.06531OpenAlexW2515448417MaRDI QIDQ344262

Bin Wang, Xin-Yuan Wu, Fan Wei Meng

Publication date: 22 November 2016

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

Full work available at URL: https://arxiv.org/abs/1608.06531

zbMATH Keywords

convergencenumerical experimentLagrange polynomialsvariation-of-constants formulamulti-frequency oscillatory second-order systemstrigonometric collocation methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

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Uses Software

• LIMbook

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