Numerical schemes for size-structured population equations

被引：37
|
作者：
Angulo, O [1 ]
López-Marcos, JC
机构：
[1] Univ Valladolid, Escuela Univ Politecn, Dept Matemat Aplicada Tecn, Valladolid, Spain
[2] Univ Valladolid, Dept Matemat Aplicada & Computac, Valladolid, Spain
来源：
MATHEMATICAL BIOSCIENCES | 1999年 / 157卷 / 1-2期
关键词：
size-structured population models; difference schemes; Runge-Kutta methods; convergence;
D O I：
10.1016/S0025-5564(98)10081-0
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We formulate schemes for the numerical solution of size-dependent population models. Such schemes discretize size by means of a natural grid, which introduces a discrete dynamics. The schemes are analysed and optimal rates of convergence are derived. Some numerical experiments are also reported to demonstrate the predicted accuracy of the schemes. (C) 1999 Elsevier Science Inc. All rights reserved.
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页码：169 / 188
页数：20
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