Application of homotopy perturbation method and variational iteration method to nonlinear oscillator differential equations
type: Item
instance of: scholarly article
title: Application of homotopy perturbation method and variational iteration method to nonlinear oscillator differential equations
zbMATH Open document ID: 1197.34015
author: J. Martínez
published in: Acta Applicandae Mathematicae
publication date: 2009-04-29T00:00:00Z
review text: The authors study the homotopy perturbation method (HPM) and variational iterative method (VIM) for nonlinear oscillator differential equations of the form \(u^{\prime\prime} + f (t, u, u^\prime ) = 0\). Some examples dealing with nonlinear initial value problems are solved by applying HPM and VIM. Comparing with the exact solutions, it is shown that the numerical solutions obtained by these methods are highly accurate.
reviewed by: Bashir Ahmad
Mathematics Subject Classification ID: 34A45
Mathematics Subject Classification ID: 34C15
zbMATH DE Number: 5549552
zbMATH Keywords: homotopy perturbation method (HPM)
zbMATH Keywords: variational iterative method (VIM)
zbMATH Keywords: nonlinear oscillators
zbMATH Keywords: exact solution
zbMATH Keywords: van der Pol oscillator problem
MaRDI profile type: Publication
full work available at URL: s10440-008-9248-9
OpenAlex ID: W2017277446
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DOI: 10.1007/S10440-008-9248-9
description: scientific article; zbMATH DE number 5549552