"Quintication" method to obtain approximate analytical solutions of non-linear oscillators
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In this paper we propose a new approach to replace nonlinear ordinary differential equations by approximate cubic-quintic Duffing oscillators in which its coefficients depend on the initial amplitude of oscillation. It is shown that this procedure leads to angular frequency values with relative errors that are lower than those found by previously developed approximate solutions. © 2014 Elsevier Inc. All rights reserved.