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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.
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页码:168 / 175
页数:8
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