Application of the Variational Iteration Method to Strongly Nonlinear q-Difference Equations
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-28
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract 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.
American Psychological Association (APA)
Liu, Hsuan-Ku. 2012. Application of the Variational Iteration Method to Strongly Nonlinear q-Difference Equations. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-993575
Modern Language Association (MLA)
Liu, Hsuan-Ku. Application of the Variational Iteration Method to Strongly Nonlinear q-Difference Equations. Journal of Applied Mathematics No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-993575
American Medical Association (AMA)
Liu, Hsuan-Ku. Application of the Variational Iteration Method to Strongly Nonlinear q-Difference Equations. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-993575
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993575
