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A numerical method for spatial diffusion in age‐structured populations
Author(s) -
Cusulin Caterina,
GerardoGiorda Luca
Publication year - 2010
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20425
Subject(s) - discretization , mathematics , convergence (economics) , stability (learning theory) , partial differential equation , variable (mathematics) , age structure , partial derivative , diffusion , population , mathematical analysis , computer science , physics , thermodynamics , demography , machine learning , sociology , economics , economic growth
We propose a method to approximate numerically the diffusion of an age‐structured population in a spatial environment. We integrate separately the age and time variables by finite differences and we discretize the space variable by finite elements. The method is implicit in time and, inside each time step, implicit in age. We provide stability and convergence results and we illustrate our approach with some numerical result. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2010