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

- Journal title : Communications of the Korean Mathematical Society
- Volume 22, Issue 4, 2007, pp.623-640
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/CKMS.2007.22.4.623

Title & Authors

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

Jeong, Shin-Ja; Kim, Mi-Young; Selenge, Tsendanysh;

Jeong, Shin-Ja; Kim, Mi-Young; Selenge, Tsendanysh;

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

age-dependent population dynamics;integro-differential equation;hp-discontinuous Galerkin finite element method;

Language

English

Cited by

1.

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