The ARS algorithm and invariance analysis of ordinary difference equations

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dc.contributor.authorKubayi, Jollet Truth
dc.date.accessioned2023-11-13T09:27:31Z
dc.date.available2023-11-13T09:27:31Z
dc.date.issued2022
dc.descriptionA dissertation submitted in fulfilment of the requirements for the degree of Master of Science to the Faculty of Science, University of the Witwatersrand, Johannesburg, 2022
dc.description.abstractThis 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.
dc.description.librarianPC(2023)
dc.facultyFaculty of Science
dc.identifier.urihttps://hdl.handle.net/10539/36963
dc.language.isoen
dc.schoolMathematics
dc.subjectARS Algorithm
dc.subjectInvariance Analysis
dc.subjectOrdinary Difference Equations
dc.titleThe ARS algorithm and invariance analysis of ordinary difference equations
dc.typeDissertation
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