On symmetries and solutions of certain sixth order difference equations

Authors

Keywords:

Difference equation; symmetry; reduction; group invariant solutions, periodicity

Abstract

We use the Lie group analysis method to investigate the invariance properties and the solutions of mceclip0-8c7a93b2f64cf1e0cd4d12967099ce16.png We show that this equation has a two-dimensional Lie algebra and that its solutions can be presented in a unified manner. Besides presenting solutions of the recursive sequence above where an and bn are sequences of real numbers, some specific cases are emphasized.

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Published

2021-05-11

How to Cite

D. Nyirenda, & M. Folly-Gbetoula. (2021). On symmetries and solutions of certain sixth order difference equations. Journal of Computational Analysis and Applications (JoCAAA), 29(3), 592–603. Retrieved from http://eudoxuspress.com/index.php/pub/article/view/175

Issue

Vol. 29 No. 3 (2021): JOCAAA

Section

Articles

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Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.