finite elements; convergence; stability; parabolic problem
We study a numerical method for the diffusion of an age-structured population in a spatial environment. We extend the method proposed in  for linear diffusion problem, to the nonlinear case, where the diffusion coefficients depend on the total population. We integrate separately the age and time variables by finite differences and we discretize the space variable by finite elements. We provide stability and convergence results and we illustrate our approach with some numerical result.