A BOX METHOD FOR A NONLINEAR EQUATION OF POPULATION-DYNAMICS

被引:29
作者
FAIRWEATHER, G
LOPEZMARCOS, JC
机构
[1] UNIV KENTUCKY,DEPT ENGN MECH,LEXINGTON,KY 40506
[2] UNIV VALLADOLID,FAC CIENCIAS,DEPT MATEMAT APLICADA & COMP,VALLADOLID,SPAIN
关键词
D O I
10.1093/imanum/11.4.525
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We analyse a box method for a nonlinear integro-differential equation with a nonlocal boundary condition. The problem considered describes the evolution in time of the age structure of a population. We study the consistency, stability, and convergence properties of the scheme and show that it is second-order accurate. This analysis is carried out employing an abstract theory of discretizations.
引用
收藏
页码:525 / 538
页数:14
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