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HOMOTOPY PERTURBATION METHOD (HPM), ADOMIAN DECOMPOSITION METHOD (ADM) AND COUPLING HPM AND PEM (PARAMETER-EXPANSION METHOD) FOR NONLINEAR OSCILLATOR WITH COORDINATE-DEPENDENT MASS
Keywords:
nonlinear oscillator, Homotopy Perturbation Method (HPM), Adomian Decomposition Method (ADM), PEM (Parameter-Expansion Method).DOI:
https://doi.org/10.17654/0972087125034Abstract
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.
Received: May 29, 2025
Revised: August 8, 2025
Accepted: August 28, 2025
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