MIXED APPROXIMATION OF A POPULATION DIFFUSION EQUATION

被引：17

作者：

KIM, MY ^{[1
]}

PARK, EJ ^{[1
]}

机构：

[1] UNIV TRENT, DIPARTIMENTO MATEMAT, I-38050 TRENT, ITALY

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1995年 / 30卷 / 12期

关键词：

INTEGRODIFFERENTIAL EQUATION; MIXED FINITE ELEMENT METHOD; METHOD OF CHARACTERISTICS; ERROR ESTIMATES;

D O I：

10.1016/0898-1221(95)00172-U

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A numerical method is proposed to approximate the solution of a nonlinear and nonlocal system of integro-differential equations describing age-dependent population dynamics with spatial diffusion. A finite difference method along the characteristic age-time direction combined with mixed finite elements in the spatial variable is used for the approximation. Optimal order error estimates are derived for the relevant variables. Using nonnegativity of the discrete solution, a stability of the method is also proved.

引用

页码：23 / 33

页数：11

共 29 条

[21] A FINITE-DIFFERENCE SCHEME FOR A STIFF PROBLEM ARISING IN THE NUMERICAL-SOLUTION OF A POPULATION-DYNAMIC MODEL WITH SPATIAL DIFFUSION [J].