$hp$-Discontinuous Galerkin methods for the Lotka-McKendrick equation: A numerical study
Commun. Korean Math. Soc. 2007 Vol. 22, No. 4, 623-640
Printed December 1, 2007
Shin-Ja Jeong, Mi-Young Kim, Tsendanysh Selenge
Inha University, Inha University, Inha University
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
MSC numbers : 65M10, 65M20, 92A15, 65C20
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