This problem will be solved using two methods:
- The cellular atomata method (on the right): the nodes of the mesh have values that represent the temperature. At each update, a site's
value is replaced by the average of the eight nearest neighnors in its Moore neighborhood. Note the similarity of this method
with a finite difference one.
- The finite element method (on the left).

It can be observed that the cellular automata model has a lower diffusion. When the FE model has reached a steady state, the
celular automata is still diffusing.