Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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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)
  • Published : 2003.10.01
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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

References

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Cited by

  1. Discontinuous Galerkin method for piecewise regular solutions to the nonlinear age-structured population model vol.203, pp.2, 2006, https://doi.org/10.1016/j.mbs.2006.05.005
  2. DISCONTINUOUS GALERKIN METHODS FOR THE LOTKA–MCKENDRICK EQUATION WITH FINITE LIFE-SPAN vol.16, pp.02, 2006, https://doi.org/10.1142/S0218202506001108