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.
Hsuan-Ku Liu. "Application of the Variational Iteration Method to Strongly Nonlinear -Difference Equations." J. Appl. Math. 2012 1 - 12, 2012. https://doi.org/10.1155/2012/704138