Application of the variational iteration method to strongly nonlinear \(q\)-difference equations
type: Item
instance of: scholarly article
title: Application of the variational iteration method to strongly nonlinear \(q\)-difference equations
zbMATH Open document ID: 1235.65154
DOI: 10.1155/2012/704138
author: Hsuan-Ku Liu
published in: Journal of Applied Mathematics
publication date: 2012-04-04T00:00:00Z
review text: Summary: The theory of approximate solution lacks development in the area of nonlinear \(q\)-difference equations. One of the difficulties in developing a theory of series solutions for the homogeneous equations on time scales is that formulas for multiplication of two \(q\)-polynomials are not easily found. In this paper, the formula for the multiplication of two \(q\)-polynomials is presented. By applying the obtained results, we extend the use of the variational iteration method to nonlinear \(q\)-difference equations. The numerical results reveal that the proposed method is very effective and can be applied to other nonlinear \(q\)-difference equations.
Mathematics Subject Classification ID: 65Q10
Mathematics Subject Classification ID: 39A99
zbMATH DE Number: 6021745
Wikidata QID: Q58907193
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/704138
OpenAlex ID: W2030815670
cites work: Q4462033
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cites work: Application of a differential transformation method to strongly nonlinear damped \(q\)-difference equations
description: scientific article; zbMATH DE number 6021745