Efficient numerical method for solving 1D degenerate Keller-Segel systems

被引：0

作者：

Koleva, Miglena N. ^{[1
]}

机构：

[1] Univ Rousse, FNSE, Rousse 7017, Bulgaria

来源：

APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE '12) | 2012年 / 1497卷

关键词：

Keller-Segel systems; degenerate problems; positivity preserving; convergence; GLOBAL EXISTENCE;

D O I：

10.1063/1.4766782

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we develop a second order, positive preserving explicit-implicit numerical method for solving Keller-Segel system of degenerate type. The approximation is based on finite volume method and flux-limiter technique in space and explicit Euler method in time. In order to save computational time we use decoupling procedure for solving the discrete system. Numerical results are also presented.

引用

页码：168 / 175

页数：8

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