On Solutions of Some Fifth-Order Difference Equations

Mnguni, Nkosingiphile; Nyirenda, Darlison; Folly-Gbetoula, Mensah

doi:10.17654/ms102123053

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“…The method consists of finding a group of transformations that maps solutions onto themselves. Symmetry method is a valuable tool and it has been used to solve several difference equations [8,9,14,15]. In this paper, our objective is to obtain the symmetry operators of…”

Section: Introductionmentioning

confidence: 99%

On certain sixth order difference equations

Nyirenda¹,

Folly-Gbetoula²

2019

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Section: Introductionmentioning

confidence: 99%

On certain sixth order difference equations

Nyirenda¹,

Folly-Gbetoula²

2019

Preprint

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Lie symmetry analysis and explicit formulas for solutions of some third-order difference equations

Folly-Gbetoula

Nyirenda

2018

Quaestiones Mathematicae

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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 equation under group transformations. It is the largest group of transformations that leaves the differential equation invariant. It is now known that this differential equation method plays the same role when it comes to the study of difference equations. Difference equations can be used to model various phenomena where the changes occur in discrete manner. The use of symmetries on recurrence equations, usually, leads to reductions of order and hence ease the process of finding their solutions. One of the aims of this work is to employ symmetries to generalize some results in the literature. We present new generalized formula solutions of a class of difference equations and we investigate the periodicity and behavior of theses solutions.

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On Solutions of Some Fifth-Order Difference Equations

Cited by 2 publications

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On certain sixth order difference equations

On certain sixth order difference equations

Lie symmetry analysis and explicit formulas for solutions of some third-order difference equations

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