Application of the Variational Iteration Method to Strongly Nonlinear q-Difference Equations

الملخص EN

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.