A study on Equivalent Linearization Method with a Weighted Averaging for Solving Undamped Non-linear Oscillators
Theory and Applications of Mathematical Science Vol. 3,
Page 1-22
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.
Keywords:
- Non-linear oscillators
- equivalent linearization method
- weighted averaging
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