Approximate periodic solutions for the Helmholtz–Duffing equation

Approximate periodic solutions for the Helmholtz–Duffing oscillator are obtained in this paper. He’s Energy Balance Method (HEBM) and He’s Frequency Amplitude Formulation (HFAF) are adopted as the solution methods. Oscillation natural frequencies are analytically analyzed. Error analysis is carried...

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Veröffentlicht in:Computers & mathematics with applications (1987) 2011-11, Vol.62 (10), p.3894-3901
Hauptverfasser: Askari, H., Saadatnia, Z., Younesian, D., Yildirim, A., Kalami-Yazdi, M.
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Sprache:eng
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Zusammenfassung:Approximate periodic solutions for the Helmholtz–Duffing oscillator are obtained in this paper. He’s Energy Balance Method (HEBM) and He’s Frequency Amplitude Formulation (HFAF) are adopted as the solution methods. Oscillation natural frequencies are analytically analyzed. Error analysis is carried out and accuracy of the solution methods is evaluated.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2011.09.042