On the numerical integration of non-local terms for age-structured population models.
We formulate explicit second-order finite difference schemes for the numerical integration of non-linear age-dependent population models. These methods have been designed by means of a representation formula for the theoretical solution of the integro-differential equation joint with open quadrature formulae for the numerical approximation of non-local terms. The schemes are analyzed and some numerical experiments are also reported in order to show numerically their accuracy.
Abia
L M
LM
Departamento de Matemática Aplicada y Computación, Facultad de Ciencias, Universidad de Valladolid, Spain. abia@cpd.uva.es
López-Marcos
J C
JC
D000367:Age Factors; D001723:Birth Rate; D006801:Humans; D016014:Linear Models; D008954:Models, Biological; D009026:Mortality; D009716:Numerical Analysis, Computer-Assisted; D011157:Population Dynamics