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http://dx.doi.org/10.4134/CKMS.2003.18.4.767

A DISCONTINUOUS GALERKIN METHOD FOR A MODEL OF POPULATION DYNAMICS  

Kim, Mi-Young (Department of Mathematics Inha University)
Yin, Y.X. (Department of Mathematics Inha University)
Publication Information
Communications of the Korean Mathematical Society / v.18, no.4, 2003 , pp. 767-779 More about this Journal
Abstract
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 $h^{3/2}$ in the case of piecewise linear polynomial space.
Keywords
age-dependent population dynamics; discontinuous Galerkin method; integro-differential equation;
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