Semi-analytical solutions of the nonlinear oscillator with a matrix Lagrange multiplier
Hua Cheng, Yong-Yan Yu
Journal of Low Frequency Noise, Vibration and Active Control · 2019
doi:10.1177/1461348418769649 (opens in a new tab)
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Abstract
In this paper, a semi-analytical method based on variational iteration formulae is proposed. Second-order nonlinear oscillator equations are numerically investigated by this method. A matrix Lagrange multiplier is given to derive analytical solutions and compared with the old one by use of the same order approximation. The initial value is updated successively and numerical solutions are obtained.
Abstract licence: CC BY-NC
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