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• W2137653426 abstract "In this paper He’s homotopy perturbation method has been adapted to calculate higher-order approximate periodic solutions for a nonlinear oscillator with discontinuity for which the elastic force term is an anti-symmetric and quadratic term. We find that He’s homotopy perturbation method works very well for the whole range of initial amplitudes, and the excellent agreement of the approximate frequencies and periodic solutions with the exact ones has been demonstrated and discussed. Just one iteration leads to high accuracy of the solutions with a maximal relative error for the approximate period of less than 0.73% for all values of oscillation amplitude, while this relative error is as low as 0.040% when the second iteration is considered. Comparison of the result obtained using this method with those obtained by the harmonic balance method reveals that the former is very effective and convenient." @default.
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• W2137653426 date "2009-02-01" @default.
• W2137653426 modified "2023-09-29" @default.
• W2137653426 title "Solution for an anti-symmetric quadratic nonlinear oscillator by a modified He’s homotopy perturbation method" @default.
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• W2137653426 doi "https://doi.org/10.1016/j.nonrwa.2007.10.002" @default.
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