An Effective Solution of the Cube-Root Truly Nonlinear Oscillator: Extended Iteration Procedure

Table 1

Comparison of the approximate frequencies with the exact frequency of .

Amplitude A	Error (%)	Error (%)	Error (%)	Error (%)
Mickens iteration method [25]	2.0	2.7	—	—
Mickens harmonic balance method [25]	2.0	0.7	—	—
Zhang using He’s amplitude-frequency formulation [17]	2.0			—
Beléndez et al. using modified He’s homotopy perturbation method [15]	0.6	0.17	0.024	—
Lim and Wu using improved harmonic balance method [6]	0.6	0.17		—
Beléndez using homotopy perturbation method [9]	0.6	0.05
Adopted method	0.5975	0.00	0.04	0.00