Optimal analytical and numerical approximations to the (un)forced (un)damped parametric pendulum oscillator

The (un)forced (un)damped parametric pendulum oscillator (PPO) is analyzed analytically and numerically using some simple, effective, and more accurate techniques. In the first technique, the ansatz method is employed for analyzing the unforced damped PPO and for deriving some optimal and accurate a...

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Veröffentlicht in:	Communications in theoretical physics 2022-10, Vol.74 (10), p.105002
Hauptverfasser:	Alyousef, Haifa A, Alharthi, M R, Salas, Alvaro H, El-Tantawy, S A
Format:	Artikel
Sprache:	eng
Schlagworte:	Ansatz method He’s frequency-amplitude principle He’s homotopy technique Krylov–Bogoliúbov Mitropolsky method parametric pendulum equation the hybrid Padé-finite difference method
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