Continuous symmetries of the discrete nonlinear telegraph equation

Ody, M.S. and Common, A.K. and Sobhy, M.I. (1999) Continuous symmetries of the discrete nonlinear telegraph equation. European Journal of Applied Mathematics, 10 (Part 3). pp. 265-284. ISSN 0956-7925. (The full text of this publication is not available from this repository)

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Abstract

The method of classical Lie symmetries, generalised to differential-difference equations by Quispel, Capel and Sahadevan, is applied to the discrete nonlinear telegraph equation. The symmetry reductions thus obtained are compared with analogous results for the continuous telegraph equation. Some of these 'continuous' reductions are used to provide initial data for a numerical scheme which attempts to solve the corresponding discrete equation.

Item Type: Article
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Faculties > Science Technology and Medical Studies > School of Engineering and Digital Arts
Depositing User: I.T. Ekpo
Date Deposited: 29 Mar 2009 19:21
Last Modified: 29 Mar 2009 19:21
Resource URI: http://kar.kent.ac.uk/id/eprint/16965 (The current URI for this page, for reference purposes)
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