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hp-DISCONTINUOUS GALERKIN METHODS FOR THE LOTKA-MCKENDRICK EQUATION: A NUMERICAL STUDY

  • Published : 2007.10.31

Abstract

The Lotka-McKendrick model which describes the evolution of a single population is developed from the well known Malthus model. In this paper, we introduce the Lotka-McKendrick model. We approximate the solution to the model using hp-discontinuous Galerkin finite element method. The numerical results show that the presented hp-discontinuous Galerkin method is very efficient in case that the solution has a sharp decay.

Keywords

References

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  2. Numerical solution of the nonlinear age-structured population models by using the operational matrices of Bernstein polynomials vol.36, pp.3, 2012, https://doi.org/10.1016/j.apm.2011.07.041