Variational Iteration Method for Conservative Oscillators with Complicated Nonlinearities
1
State Key Laboratory of Mechanical System and Vibration Shanghai Jiao Tong University, Shanghai 200240, China
2
Department of Mechanics, Sun Yat-sen University Guangzhou 510275, China
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2010, 15(5), 802-809; https://doi.org/10.3390/mca15050802
Submission received: 31 December 2010
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Accepted: 31 December 2010
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Published: 31 December 2010
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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MDPI and ACS Style
Chen, Y.M.; Meng, G.; Liu, J.K. Variational Iteration Method for Conservative Oscillators with Complicated Nonlinearities. Math. Comput. Appl. 2010, 15, 802-809. https://doi.org/10.3390/mca15050802
AMA Style
Chen YM, Meng G, Liu JK. Variational Iteration Method for Conservative Oscillators with Complicated Nonlinearities. Mathematical and Computational Applications. 2010; 15(5):802-809. https://doi.org/10.3390/mca15050802
Chicago/Turabian StyleChen, Y. M., G. Meng, and J. K. Liu. 2010. "Variational Iteration Method for Conservative Oscillators with Complicated Nonlinearities" Mathematical and Computational Applications 15, no. 5: 802-809. https://doi.org/10.3390/mca15050802
