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Symmetries of difference equations and initial value problems.

Makris, Anastasios. (2001) Symmetries of difference equations and initial value problems. Doctoral thesis, University of Surrey (United Kingdom)..

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Abstract

The main aim of this thesis is to describe the program Deltasym. It is a Maple program that is designed for interactive use to find Lie point symmetries of ordinary difference equations (ODeltaEs). It is constructed following the method described in Hydon (2000b). Using the linearised symmetry condition of an ODeltaE we can construct a system of determining equations. The solution of system will determine the symmetries of the given ODeltaE. A systematic way to find symmetries of ordinary differential equations (ODEs) given an initial condition is by finding first integrals and reducing the order of the original equation. We investigate this method for finding Lie point symmetries of initial value problems (IVPs) of ODEs and ODeltaEs. This reduction of the IVP may produce more symmetries than the initial problem. Several examples are used to illustrate this surprising fact.

Item Type: Thesis (Doctoral)
Divisions : Theses
Authors :
NameEmailORCID
Makris, Anastasios.UNSPECIFIEDUNSPECIFIED
Date : 2001
Contributors :
ContributionNameEmailORCID
http://www.loc.gov/loc.terms/relators/THSUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Depositing User : EPrints Services
Date Deposited : 09 Nov 2017 12:18
Last Modified : 09 Nov 2017 14:48
URI: http://epubs.surrey.ac.uk/id/eprint/844637

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