A study on Equivalent Linearization Method with a Weighted Averaging for Solving Undamped Non-linear Oscillators D. V.

Hieu, D. V. and Hai, N. Q. and Hung, D. T. (2020) A study on Equivalent Linearization Method with a Weighted Averaging for Solving Undamped Non-linear Oscillators D. V. In: Theory and Applications of Mathematical Science Vol. 3. B P International, pp. 1-22. ISBN 978-93-89816-61-7

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Abstract

In this paper, the Equivalent Linearization Method (ELM) with a weighted averaging is applied to analyse 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), Hanormic 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 exerted to a lot of
practical engineering and physical problems.

Item Type: Book Section
Subjects: Euro Archives > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 24 Nov 2023 03:36
Last Modified: 24 Nov 2023 03:36
URI: http://publish7promo.com/id/eprint/4041

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