Numerical verification and comparison of error of asymptotic expansion solution of the Duffing equation

DOI10.3390/mca13010023zbMath1168.65361OpenAlexW2372524160MaRDI QIDQ1029500

Shuhui Chen, Jianping Cai, Cuihong Yang

Publication date: 13 July 2009

Published in: Mathematical \& Computational Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/mca13010023

zbMATH Keywords

perturbation methodasymptotic expansionsnonlinear oscillationDuffing equationLindstedt-Poincaré methodnumerical comparisonnumerical order verification

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Numerical methods for initial value problems involving ordinary differential equations (65L05)

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