Continuous symmetries of the discrete nonlinear telegraph equation

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.