Solution to a Damped Duffing Equation Using He's Frequency Approach

In this paper, we generalize He's frequency approach for solving the damped Duffing equation by introducing a time varying amplitude. We also solve this equation by means of the homotopy method and the Lindstedt–Poincaré method. High accurate formulas for approximating the Jacobi elliptic funct...

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Detalles Bibliográficos
Autores principales: Salas, Alvaro H. S., Altamirano, Gilder-Cieza, Sánchez-Chero, Manuel
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi 2022
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9293578/
https://www.ncbi.nlm.nih.gov/pubmed/35859637
http://dx.doi.org/10.1155/2022/5009722
Descripción
Sumario:In this paper, we generalize He's frequency approach for solving the damped Duffing equation by introducing a time varying amplitude. We also solve this equation by means of the homotopy method and the Lindstedt–Poincaré method. High accurate formulas for approximating the Jacobi elliptic function cn are formally derived using Chebyshev and Pade approximation techniques.

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