2 citations · 4 across the 17 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…
On a system of second-order difference equations
M Folly-Gbetoula, D. Nyirenda
We obtain explicit formulas for the solutions of the system of second-order difference equations of the form $x_{n+ 1} = \frac{x_n y_{n-1}}{y_n (a_n + b_n x_n y_{n - 1})}, \quad y_…
General form of the solutions of some difference equations via Lie symmetry analysis
Mensah Folly-Gbetoula, Melih Göcen, Miraç Güneysu
In this paper, we obtain exact solutions of the following rational difference equation wher…
On certain rational recursive sequences of order four
Mensah Folly-Gbetoula, Darlison Nyirenda
We obtain solutions to the recursive sequences of the form where and are arbitrary sequences o…
On certain sixth order difference equations
D. Nyirenda, M. Folly-Gbetoula
We use the Lie group analysis method to investigate the invariance properties and the solutions of \begin{align*} x_{n+1} =\frac{x_{n-5}x_{n-3}}{x_{n-1}(a_n +b_nx_{n-5}x_{n-3})}. \…
The invariance and formulas for solutions of some fifth-order difference equations
D. Nyirenda, M. Folly-Gbetoula
Lie group analysis of the difference equations of the form \begin{align*} x_{n+1} =\frac{x_{n-4}x_{n-3}}{x_{n}(a_n +b_nx_{n-4}x_{n-3}x_{n-2}x_{n-1})}, \end{align*} where and…
A group theory approach towards some rational difference equations
M. Folly-Gbetoula, N. Mnguni, AH Kara
A full Lie point symmetry analysis of rational difference equations is performed. Non-trivial symmetries are derived and exact solutions using these symmetries are obtained.
Symmetry, reductions and exact solutions of systems of difference equations
JJ Bashingwa, AH Kara, M Folly-Gbetoula
We apply symmetry and invariance methods to analyse systems of difference equations. Non trivial symmetries are derived and their exact solutions obtained.
Symmetry Analysis and Conservation Laws of some third-order Difference Equations
S. Mamba, M. K. Folly-Gbetoula, A. H. Kara
We derive a method for finding Lie Symmetries for third-order difference equations. We use these symmetries to reduce the order of the difference equations and hence obtain the sol…
Symmetry, reductions and exact solutions of the difference equation
Mensah Folly-Gbetoula
We investigate the solutions of the second-order difference equation using a group of transformations (Lie symmetries) that leaves the solutions in…
The Invariance and Conservation Laws of fourth-order Difference Equations
Mensah Folly-Gbetoula, Abdul Kara
We consider difference equations of order four and determine the one parameter Lie group of transformations (Lie symmetries) that leave them invariant. We introduce a technique for…
Symmetries and Reduction of Discrete Painleve Equations
Mensah Folly-Gbetoula
The construction and role of symmetries for difference equations are now well known. In this paper, the symmetry analysis of the discrete Painleve equations is considered. We assum…