Numerical approximation of density dependent diffusion in age-structured population dynamics

Gerardo-Giorda, Luca. "Numerical approximation of density dependent diffusion in age-structured population dynamics." Applications of Mathematics 2013. Prague: Institute of Mathematics AS CR, 2013. 88-97. <http://eudml.org/doc/287851>.

@inProceedings{Gerardo2013,
abstract = {We study a numerical method for the diffusion of an age-structured population in a spatial environment. We extend the method proposed in [2] for linear diffusion problem, to the nonlinear case, where the diffusion coefficients depend on the total population. We integrate separately the age and time variables by finite differences and we discretize the space variable by finite elements. We provide stability and convergence results and we illustrate our approach with some numerical result.},
author = {Gerardo-Giorda, Luca},
booktitle = {Applications of Mathematics 2013},
keywords = {finite elements; convergence; stability; parabolic problem},
location = {Prague},
pages = {88-97},
publisher = {Institute of Mathematics AS CR},
title = {Numerical approximation of density dependent diffusion in age-structured population dynamics},
url = {http://eudml.org/doc/287851},
year = {2013},
}

TY - CLSWK
AU - Gerardo-Giorda, Luca
TI - Numerical approximation of density dependent diffusion in age-structured population dynamics
T2 - Applications of Mathematics 2013
PY - 2013
CY - Prague
PB - Institute of Mathematics AS CR
SP - 88
EP - 97
AB - We study a numerical method for the diffusion of an age-structured population in a spatial environment. We extend the method proposed in [2] for linear diffusion problem, to the nonlinear case, where the diffusion coefficients depend on the total population. We integrate separately the age and time variables by finite differences and we discretize the space variable by finite elements. We provide stability and convergence results and we illustrate our approach with some numerical result.
KW - finite elements; convergence; stability; parabolic problem
UR - http://eudml.org/doc/287851
ER -