Differential-difference equation: An equation that combines differential operators with difference operators, often used to model systems exhibiting both continuous change and discrete shifts.

Ordinary differential equations (ODEs) and difference equations serve as complementary tools in the mathematical modelling of processes evolving in continuous and discrete time respectively.

The asymptotic properties of the solutions of a class of linear, difference equations have been described—in increasing level of refinement—by many authors including H. Poincaré, O. Perron, and, ...

We present the multiplier method of constructing conservative finite difference schemes for ordinary and partial differential equations. Given a system of differential equations possessing ...