A dissertation submitted to the Faculty of Science, University of the Witwatersrand, Johannesburg, in fulfilment of requirements for the degree of Master of Science. September 26, 2014. / The aim of the dissertation is to extend on the work done by Hydon in [17]. We
only consider second order ordinary difference equations and calculate their symmetry
generators, first integrals and reduce their order, that is, find a general solution.
We investigate the association between a symmetry generator and a first integral.
Furthermore, we investigate when a reduced equation may be further reduced and
lead to a double reduction. The examples considered are obtained from [17].
ii
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:wits/oai:wiredspace.wits.ac.za:10539/16808 |
| Date | 29 January 2015 |
| Creators | Ndlovu, Lungelo Keith |
| Source Sets | South African National ETD Portal |
| Language | English |
| Detected Language | English |
| Type | Thesis |
| Format | application/pdf |
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