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2012 Application of the Variational Iteration Method to Strongly Nonlinear q -Difference Equations
Hsuan-Ku Liu
J. Appl. Math. 2012: 1-12 (2012). DOI: 10.1155/2012/704138


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.


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Hsuan-Ku Liu. "Application of the Variational Iteration Method to Strongly Nonlinear q -Difference Equations." J. Appl. Math. 2012 1 - 12, 2012.


Published: 2012
First available in Project Euclid: 17 October 2012

zbMATH: 1235.65154
MathSciNet: MR2889117
Digital Object Identifier: 10.1155/2012/704138

Rights: Copyright © 2012 Hindawi


Vol.2012 • 2012
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