Legendre-Gauss collocation method for initial value problems of second order ordinary differential equations

DOI10.1016/j.apnum.2008.08.007zbMath1162.65374OpenAlexW1983422789MaRDI QIDQ1015925

Jian-ping Yan, Ben-yu Guo

Publication date: 30 April 2009

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2008.08.007

zbMATH Keywords

numerical resultserror boundsinitial value problemsmultistep methodsecond order ordinary differential equationsspectral accuracyLegendre-Gauss collocation method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70)

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