A DISCONTINUOUS GALERKIN METHOD FOR A MODEL OF POPULATION DYNAMICS Kim, Mi-Young; Yin, Y.X.;
We consider a model of population dynamics whose mortality function is unbounded. We approximate the solution of the model using a discontinuous Galerkin finite element for the age variable and a backward Euler for the time variable. We present several numerical examples. It is experimentally shown that the scheme converges at the rate of in the case of piecewise linear polynomial space.
age-dependent population dynamics;discontinuous Galerkin method;integro-differential equation;