ARTICLE
HOMOTOPY PERTURBATION METHOD (HPM), ADOMIAN DECOMPOSITION METHOD (ADM) AND COUPLING HPM AND PEM (PARAMETER-EXPANSION METHOD) FOR NONLINEAR OSCILLATOR WITH COORDINATE-DEPENDENT MASS
- Far East Journal of Mathematical Sciences (FJMS) , 142 (4) : 615-637
Lien de l'article :
https://doi.org/10.17654/0972087125034
Discipline :
Mathématiques
Auteur(s) :
BAGAYOGO Moussa, MINOUNGOU Youssouf, NEBIE Abdoul Wassiha, PARE Youssouf
Auteur(s) tagués :
NEBIE Abdoul Wassiha
PARE Yousssouf
Renseignée par : BAGAYOGO Moussa
Résumé
In this paper, we investigate a nonlinear oscillator with coordinatedependent 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.
Mots-clés
nonlinear oscillator, Homotopy Perturbation Method (HPM), Adomian Decomposition Method (ADM), PEM (Parameter-Expansion Method).