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

Salas A.H.S.; Altamirano G.-C.; Sánchez-Chero M. · Scientific World Journal (2022) · DOI: 10.1155/2022/5009722

Resumen

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.

Instituciones: Universidad Nacional Autónoma de Chota; Universidad Nacional de Frontera