A finite difference approximation for a nonlinear size-structured phytoplankton aggregation model

被引：2

作者：

Ackleh, AS ^{[1
]}

Ferdinand, RR ^{[1
]}

机构：

[1] Univ SW Louisiana, Dept Math, Lafayette, LA 70504 USA

来源：

QUARTERLY OF APPLIED MATHEMATICS | 1999年 / 57卷 / 03期

关键词：

D O I：

10.1090/qam/1704439

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a nonlinear model that describes the dynamics of a phytoplankton population with aggregation and competition between individual cells. A finite difference method is developed for approximating the solution of this partial differential equation. The convergence of this approximation to a unique bounded variation solution of the model is proved. Numerical results showing the accuracy of this scheme are presented.

引用

页码：501 / 520

页数：20

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