Higher-order solutions of coupled systems using the parameter expansion method
type: Item
instance of: scholarly article
title: Higher-order solutions of coupled systems using the parameter expansion method
zbMATH Open document ID: 1255.74067
DOI: 10.1155/2009/327462
author: S. S. Ganji
author: M. G. Sfahani
author: S. M. Modares Tonekaboni
author: A. K. Moosavi
author: G. Domairry
published in: Mathematical Problems in Engineering
publication date: 2009-11-13T00:00:00Z
review text: Summary: We consider periodic solution for coupled systems of mass-spring. Three practical cases of these systems are explained and introduced. An analytical technique called Parameter Expansion Method (PEM) was applied to calculate approximations to the achieved nonlinear differential oscillation equations. Comparing with exact solutions, the first approximation to the frequency of oscillation produces tolerable error 3.14\% as the maximum. By the second iteration the respective error became 1/5th, as it is 0.064\%. So we conclude that the first approximation of PEM is so benefit when a quick answer is required, but the higher order approximation gives a convergent precise solution when an exact solution is required.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 34A05
Mathematics Subject Classification ID: 37N15
zbMATH DE Number: 5632469
Wikidata QID: Q58648954
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2009/327462
OpenAlex ID: W2056944565
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description: scientific article; zbMATH DE number 5632469