This analysis derives approximate solutions using homotopy perturbation and adomian decomposition methods, suggesting effective strategies for modeling oscillators.
In this paper, we investigate a nonlinear oscillator with coordinate-dependent mass. We derive approximate solutions for this oscillator using the Homotopy Perturbation Method (HPM), the Adomian Decomposition Method (ADM), and a coupled approach combining HPM with the Parameter-Expansion Method (PEM). The solutions obtained from each method are systematically compared. Additionally, we compute approximate frequency values for the oscillator.
No takes yet. Share an insight, caveat, or question.
Moussa et al. (2025) studied this question.
Synapse has enriched 5 related papers. Consider them for comparative context: