Multiple-parameter Hamiltonian approach for higher accurate approximations of a nonlinear oscillator with discontinuity
type: Item
instance of: scholarly article
title: Multiple-parameter Hamiltonian approach for higher accurate approximations of a nonlinear oscillator with discontinuity
zbMATH Open document ID: 1239.34033
DOI: 10.1155/2011/649748
author: Najeeb Alam Khan
author: Asmat Ara
author: Muhammad Jamil
published in: International Journal of Differential Equations
publication date: 2012-03-08T00:00:00Z
review text: Summary: We apply a new approach to obtain the natural frequency of a nonlinear oscillator with discontinuity. He's Hamiltonian approach is modified for a nonlinear oscillator with discontinuity for which the elastic force term is proportional to \(\text{sgn}(u)\). We employ this method for higher-order approximate solution of the nonlinear oscillator. This property is used to obtain an approximate frequency-amplitude relationship of the nonlinear oscillator with high accuracy. Many numerical results are given to prove the efficiency of the suggested technique.
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 34A26
Mathematics Subject Classification ID: 34A45
zbMATH DE Number: 6013213
zbMATH Keywords: He's Hamiltonian approach
Wikidata QID: Q58686822
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/649748
OpenAlex ID: W2151111146
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description: scientific article; zbMATH DE number 6013213