The Approximate Solutions of First Order Difference Equations with Constant and Variable Coefficients

2014 ◽  
Vol 1 (2) ◽  
pp. 1-10
Author(s):  
Aytekin Eryılmaz ◽  
◽  
Musa Başbük
Keyword(s):  
Difference Equations ◽  
Approximate Solutions ◽  
Variable Coefficients ◽  
Order Difference ◽  
First Order

scholarly journals Symmetries and Solvability of a Class of Higher Order Systems of Ordinary Difference Equations

Symmetry ◽  
2022 ◽  
Vol 14 (1) ◽  
pp. 108
Author(s):  
Kgatliso Mkhwanazi ◽  
Mensah Folly-Gbetoula
Keyword(s):  
Difference Equations ◽  
Variable Coefficients ◽  
Higher Order ◽  
Order Difference

We perform Lie analysis for a system of higher order difference equations with variable coefficients and derive non-trivial symmetries. We use these symmetries to find exact formulas for the solutions in terms of k. Furthermore, a detailed study for a specific value of k is presented. Our findings generalize some results in the literature.

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