A Conservative Discretization of a Hamiltonian System
The reaction–diffusion equation (RDE) is a natural way of describing a system where there is not only diffusion but also interaction with its surroundings. The RDE has been the topic of interest in previous papers for its usefulness of explaining pattern formations in nature. The static RDE has, in one dimension, the form of a Newton equation. We study a discretized version of this equation, with
