Ji-Huan He, Chun-Hui He, Abdulrahman Ali Alsolami

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A good initial guess and an appropriate homotopy equation are two main factors in applications of the homotopy perturbation method. For a nonlinear oscillator, a cosine function is used in an initial guess. This article recommends a general approach to construction of the initial guess and the homotopy equation. Duffing oscillator is adopted as an example to elucidate the effectiveness of the method.


Homotopy perturbation method, Nonlinear oscillator, Periodic solution

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DOI: https://doi.org/10.22190/FUME230108006H


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