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

Title & Authors
hp-DISCONTINUOUS GALERKIN METHODS FOR THE LOTKA-MCKENDRICK EQUATION: A NUMERICAL STUDY
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.
High-order Discontinuous Galerkin Methods for a class of transport equations with structured populations, Computers & Mathematics with Applications, 2016, 72, 3, 768
2.
Numerical solution of the nonlinear age-structured population models by using the operational matrices of Bernstein polynomials, Applied Mathematical Modelling, 2012, 36, 3, 945
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