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 Du ng 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.