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http://dx.doi.org/10.12941/jksiam.2010.14.3.189

NUMERICAL DISCRETIZATION OF A POPULATION DIFFUSION EQUATION  

Cho, Sung-Min (DEPARTMENT OF MATHEMATICS, YONSEI UNIVERSITY)
Kim, Dong-Ho (UNIVERSITY COLLEGE, YONSEI UNIVERSITY)
Kim, Mi-Young (DEPARTMENT OF MATHEMATICS, INHA UNIVERSITY)
Park, Eun-Jae (DEPARTMENT OF COMPUTATIONAL SCIENCE AND ENGINEERING, YONSEI UNIVERSITY)
Publication Information
Journal of the Korean Society for Industrial and Applied Mathematics / v.14, no.3, 2010 , pp. 189-200 More about this Journal
Abstract
A numerical method is proposed and analyzed to approximate a mathematical model of age-dependent population dynamics with spatial diffusion. The model takes a form of nonlinear and nonlocal system of integro-differential equations. A finite difference method along the characteristic age-time direction is considered and primal mixed finite elements are used in the spatial variable. A priori error estimates are derived for the relevant variables.
Keywords
integro-differential equation; primal mixed finite element method; method of characteristics; error estimates; population dynamics;
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