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

Alvaro H.S. Salas; Gilder Cieza Altamirano; Manuel Sánchez-Chero

doi:10.1155/2022/5009722

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

Alvaro H.S. Salas
, Gilder Cieza Altamirano
, Manuel Sánchez-Chero

Universidad Nacional de Frontera

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Original language	English
Article number	5009722
Journal	Scientific World Journal
Volume	2022
DOIs	https://doi.org/10.1155/2022/5009722
State	Published - 2022

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title = "Solution to a Damped Duffing Equation Using He's Frequency Approach",

abstract = "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-Poincar{\'e} method. High accurate formulas for approximating the Jacobi elliptic function cn are formally derived using Chebyshev and Pade approximation techniques.",

author = "Salas, \{Alvaro H.S.\} and Altamirano, \{Gilder Cieza\} and Manuel S{\'a}nchez-Chero",

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AU - Salas, Alvaro H.S.

AU - Altamirano, Gilder Cieza

AU - Sánchez-Chero, Manuel

PY - 2022

Y1 - 2022

N2 - 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.

AB - 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.

U2 - 10.1155/2022/5009722

DO - 10.1155/2022/5009722

M3 - Artículo

C2 - 35859637

AN - SCOPUS:85134770700

SN - 2356-6140

VL - 2022

JO - Scientific World Journal

JF - Scientific World Journal

M1 - 5009722

ER -

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

Abstract

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