Browsing by Author "Kubayi, Jollet Truth"
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Item The ARS algorithm and invariance analysis of ordinary difference equations(2022) Kubayi, Jollet TruthThis dissertation will be divided into two parts. The first part will involve the use of symmetries to find exact solutions of higher order difference equations. The second part will deal with important ordinary differential equations, in the search for singularities and integrability testing. We will analyse a Painlev´e equation, Ivey’s equation, the higher-order Lane-Emden type equation and a class of third-order boundary flow equations.