University of Surrey

Test tubes in the lab Research in the ATI Dance Research

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)..

Available under License Creative Commons Attribution Non-commercial Share Alike.

Download (2MB) | Preview


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 :
Makris, Anastasios.
Date : 2001
Contributors :
Depositing User : EPrints Services
Date Deposited : 09 Nov 2017 12:18
Last Modified : 20 Jun 2018 11:59

Actions (login required)

View Item View Item


Downloads per month over past year

Information about this web site

© The University of Surrey, Guildford, Surrey, GU2 7XH, United Kingdom.
+44 (0)1483 300800