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Journals / Mathematical and Computational Applications / 2010 / Cilt: 15 - Sayı: 5

Variational iteration method for conservative oscillators with complicated nonlinearities

Y. M. CHEN
G. MENG
J. K. LİU
Pages
802–809
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Numerical examples shows the feasibility and efficiency of the variational iteration method as well as the presented technique for Fourier series expansion.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The variational iteration method is employed to solve conservative oscillator containing complicated nonlinearities.
📊
Key Findings & Data:In order to expand the nonlinear terms into truncated Fourier series, an approach of undetermined coefficient is proposed.
💡
Conclusion & Impact:Numerical examples shows the feasibility and efficiency of the variational iteration method as well as the presented technique for Fourier series expansion.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The variational iteration method is employed to solve conservative oscillator containing complicated nonlinearities. In order to expand the nonlinear terms into truncated Fourier series, an approach of undetermined coefficient is proposed. Numerical examples shows the feasibility and efficiency of the variational iteration method as well as the presented technique for Fourier series expansion.

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Cite This Article

CHEN, Y. M., MENG, G., LİU, J. K. (2010). Variational iteration method for conservative oscillators with complicated nonlinearities. Mathematical and Computational Applications, Cilt: 15 - Sayı: 5, 802–809. https://ajindex.com/articles/279942

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