On the numerical integration of non-local terms for age-structured population models

被引：22

作者：

Abia, LM ^{[1
]}

López-Marcos, JC ^{[1
]}

机构：

[1] Univ Valladolid, Fac Ciencias, Dept Matemat Aplicada & Computac, Valladolid, Spain

来源：

MATHEMATICAL BIOSCIENCES | 1999年 / 157卷 / 1-2期

关键词：

age-structured equations; non-local terms; numerical integration;

D O I：

10.1016/S0025-5564(98)10080-9

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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. (C) 1999 Elsevier Science Inc. All rights reserved.

引用

页码：147 / 167

页数：21

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