Journal of Applied Mathematics
- J. Appl. Math.
- Volume 2012 (2012), Article ID 704138, 12 pages.
Application of the Variational Iteration Method to Strongly Nonlinear -Difference Equations
The theory of approximate solution lacks development in the area of nonlinear -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 -polynomials are not easily found. In this paper, the formula for the multiplication of two -polynomials is presented. By applying the obtained results, we extend the use of the variational iteration method to nonlinear -difference equations. The numerical results reveal that the proposed method is very effective and can be applied to other nonlinear -difference equations.
J. Appl. Math., Volume 2012 (2012), Article ID 704138, 12 pages.
First available in Project Euclid: 17 October 2012
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Liu, Hsuan-Ku. Application of the Variational Iteration Method to Strongly Nonlinear $q$ -Difference Equations. J. Appl. Math. 2012 (2012), Article ID 704138, 12 pages. doi:10.1155/2012/704138. https://projecteuclid.org/euclid.jam/1350479407