Solution to a Damped Duffing Equation Using He’s Frequency Approach-Reference-Cited by-同舟云学术

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

Published:2022-07-11 Issue: Volume:2022 Page:1-10
ISSN:1537-744X
Container-title:The Scientific World Journal
language:en
Short-container-title:The Scientific World Journal

Author:

Salas Alvaro H. S.¹^ORCID,Altamirano Gilder-Cieza²^ORCID,Sánchez-Chero Manuel³^ORCID

Affiliation:

1. Universidad Nacional de Colombia, Fizmako Research Group, Bogotá, Colombia

2. Universidad Nacional Autónoma de Chota, Cajamarca, Peru

3. Universidad Nacional de Frontera, Sullana, Peru

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.

Funder

Universidad Nacional de Colombia

Publisher

Hindawi Limited

Subject

General Environmental Science,General Biochemistry, Genetics and Molecular Biology,General Medicine

Link

http://downloads.hindawi.com/journals/tswj/2022/5009722.pdf

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