2 citations · 4 across the 15 of their papers we have counts for
17 papers
Group reduction, formulas solutions and asymptotic behavior of a class of fourth order difference equations
Tshifhiwa Murovhi, Mensah Folly-Gbetoula, Anani Kwassi
The symmetry method is a powerful and systematic approach for solving difference equations. It leverages the concept of transformations that leave a difference equation invariant,…
Method of Lie Symmetry for analytical solutions, periodicity and attractivity of a family of tenth-order difference equations
Mensah Folly-Gbetoula, Kwassi Anani
Symmetry is a powerful tool for finding analytical solutions to differential equations, both partial and ordinary, via the similarity variables or via the invariance of the equatio…
Exact solution to a class of problems for the Burgers' equation on bounded intervals
Kwassi Anani, Mensah Folly-Gbetoula
Burgers' equation with fixed Dirichlet boundary conditions is considered on generic bounded intervals. By using the Hopf-Cole transformation and the exact operational solution rece…
Symmetry and Dynamical Analysis of a Discrete Time Model: The Higher Order Berverton-Holt Equation
Mensah Folly-Gbetoula
In this paper, we study the higher-order Beverton-Holt equation. We derive nontrivial symmetries, and thereafter, solutions are obtained. For constant rate and carrying capacity, w…
On a family of higher order recurrence relations: symmetries, formula solutions, periodicity and stability analysis
Mensah Folly-Gbetoula
In this paper, we present formula solutions of a family of difference equations of higher order. We discuss the periodic nature of the solutions and we investigate the stability ch…
A simplification and generalization of Elsayed's two-dimensional system of third order difference equations
M. Folly-Gbetoula, D. Nyirenda
A full Lie analysis of a system of third-order difference equations is performed. Explicit solutions, expressed in terms of the initial values, are derived. Furthermore, we give su…