Application of the Variational Iteration Method to Strongly Nonlinear 𝑞-Difference Equations
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 thi...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/704138 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | 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. |
|---|---|
| ISSN: | 1110-757X 1687-0042 |