Application of the Variational Iteration Method to Strongly Nonlinear ð ‘ž -Difference Equations

Hsuan-Ku Liu

Journal of Applied Mathematics, 2012, vol. 2012, 1-12

Abstract:

The theory of approximate solution lacks development in the area of nonlinear ð ‘ž -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 ð ‘ž -polynomials are not easily found. In this paper, the formula for the multiplication of two ð ‘ž -polynomials is presented. By applying the obtained results, we extend the use of the variational iteration method to nonlinear ð ‘ž -difference equations. The numerical results reveal that the proposed method is very effective and can be applied to other nonlinear ð ‘ž -difference equations.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:704138

DOI: 10.1155/2012/704138

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