Duffing equations with cubic and quintic nonlinearities
نویسندگان
چکیده
In this study, an accurate analytical solution for Duffing equations with cubic and quintic nonlinearities is obtainedusing theHomotopyAnalysisMethod (HAM) andHomotopy Pade technique. Novel and accurate analytical solutions for the frequency and displacement are derived. Comparison between the obtained results andnumerical solutions shows that only the first order approximation of the Homotopy Pade technique leads to accurate solution with a maximum relative error less than 0.4%. © 2008 Elsevier Ltd. All rights reserved.
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ورودعنوان ژورنال:
- Computers & Mathematics with Applications
دوره 57 شماره
صفحات -
تاریخ انتشار 2009