A simple model of diffusion in a 1 dimensional strip xt(i)
is as follows|
D xt(i-1) +
(1 - 2 D) xt(i) +
This gives the value at element i at time t+1
where D is the coefficient of diffusion, normally 0 < D << 1.
As an example, consider how a single point diffuses in time. In the following
image time runs down the screen.