2018-10-182018-10-18898122110.1016/j.camwa.2010.06.023http://hdl.handle.net/11285/630386A rational elliptic balance method is introduced to obtain exact and approximate solutions of nonlinear oscillators by using Jacobi elliptic functions. To illustrate the applicability of the proposed rational elliptic forms in the solution of nonlinear oscillators, we first investigate the exact solution of the non-homogenous, undamped Duffing equation. Then, we introduce first and second order rational elliptic form solutions to obtain approximate solutions of two nonlinear oscillators. At the end of the paper, we compare the numerical integration values of the angular frequencies with approximate solution results, based on the proposed rational elliptic balance method. © 2010 Elsevier Ltd. All rights reserved.info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/4.0Nonlinear equationsNumerical methodsOscillators (mechanical)Angular frequenciesApproximate solutionDuffing equationsHarmonic balanceJacobi Elliptic functionJacobian elliptic functionNon-linear oscillatorsNumerical integrationsRational functions7 INGENIERÍA Y TECNOLOGÍAArtículo60514091420