A study on Equivalent Linearization Method with a Weighted Averaging for Solving Undamped Non-linear Oscillators | Chapter 01 | Theory and Applications of Mathematical Science Vol. 3

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.

Author(s) Details

D. V. Hieu
Thai Nguyen University of Technology, Thai Nguyen, Vietnam

N. Q. Hai
Hanoi Architectural University, Hanoi, Vietnam

D. T. Hung
Thai Nguyen University of Technology, Thai Nguyen, Vietnam

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