Difference equations and their symmetries

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 ord...

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Bibliographic Details
Main Author:	Ndlovu, Lungelo Keith
Format:	Others
Language:	en
Published:	2015
Subjects:	Symmetry (Mathematics) Integral equations. Difference equations.
Online Access:	http://hdl.handle.net/10539/16808

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spelling	ndltd-netd.ac.za-oai-union.ndltd.org-wits-oai-wiredspace.wits.ac.za-10539-168082019-05-11T03:39:59Z Difference equations and their symmetries Ndlovu, Lungelo Keith Symmetry (Mathematics) Integral equations. Difference equations. 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 2015-01-29T09:24:33Z 2015-01-29T09:24:33Z 2015-01-29 Thesis http://hdl.handle.net/10539/16808 en application/pdf
collection	NDLTD
language	en
format	Others
sources	NDLTD
topic	Symmetry (Mathematics) Integral equations. Difference equations.
spellingShingle	Symmetry (Mathematics) Integral equations. Difference equations. Ndlovu, Lungelo Keith Difference equations and their symmetries
description	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
author	Ndlovu, Lungelo Keith
author_facet	Ndlovu, Lungelo Keith
author_sort	Ndlovu, Lungelo Keith
title	Difference equations and their symmetries
title_short	Difference equations and their symmetries
title_full	Difference equations and their symmetries
title_fullStr	Difference equations and their symmetries
title_full_unstemmed	Difference equations and their symmetries
title_sort	difference equations and their symmetries
publishDate	2015
url	http://hdl.handle.net/10539/16808
work_keys_str_mv	AT ndlovulungelokeith differenceequationsandtheirsymmetries
_version_	1719081000619737088

Difference equations and their symmetries

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