Age-time continuous Galerkin methods for a model of population dynamics

Authors:
Mi-Young Kim;Tsendauysh Selenge
Affiliations:
Department of Mathematics, Inha University, Incheon 402-751, South Korea;Department of Mathematics, Inha University, Incheon 402-751, South Korea
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

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Abstract

Continuous Galerkin finite element methods in the age-time domain are proposed to approximate the solution to the model of population dynamics with unbounded mortality (coefficient) function. Stability of the method is established and a priori L^2-error estimates are obtained. Treatment of the nonlocal boundary condition is straightforward in this framework. The approximate solution is computed strip by strip marching in time. Some numerical examples are presented.