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2018 The Equivalent Linearization Method with a Weighted Averaging for Solving Undamped Nonlinear Oscillators
D. V. Hieu, N. Q. Hai, D. T. Hung
J. Appl. Math. 2018: 1-15 (2018). DOI: 10.1155/2018/7487851

Abstract

The Equivalent Linearization Method (ELM) with a weighted averaging is applied to analyze five undamped oscillator systems with nonlinearities. The results obtained via this method are compared with the ones achieved by Parameterized Perturbation Method (PPM), Min–Max Approach (MMA), Variational Iteration Method (VIM), Homotopy Perturbation Method (HPM), Energy Balance Method (EBM), Harmonic Balance Method (HBM), 4th-Order Runge-Kutta Method, and the exact ones. The obtained results demonstrate that this method is very convenient for solving nonlinear equations and also can be successfully applied to a lot of practical engineering and physical problems.

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D. V. Hieu. N. Q. Hai. D. T. Hung. "The Equivalent Linearization Method with a Weighted Averaging for Solving Undamped Nonlinear Oscillators." J. Appl. Math. 2018 1 - 15, 2018. https://doi.org/10.1155/2018/7487851

Information

Received: 27 June 2017; Accepted: 5 March 2018; Published: 2018
First available in Project Euclid: 8 May 2018

zbMATH: 07132106
MathSciNet: MR3795777
Digital Object Identifier: 10.1155/2018/7487851

Rights: Copyright © 2018 Hindawi

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