Diffusive Lotka-Volterra system: Lie symmetries and exact and numerical solutions

被引：0

作者：

Cherniha R.M. ^{[1
]}

Dutka V.A. ^{[2
]}

机构：

[1] Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv

[2] Institute of Superhard Materials, Ukrainian National Academy of Sciences, Kyiv

来源：

Ukrainian Mathematical Journal | 2004年 / 56卷 / 10期

关键词：

Exact Solution; Neumann Condition;

D O I：

10.1007/s11253-005-0142-6

中图分类号：

学科分类号：

摘要：

We present a complete description of Lie symmetries for the nonlinear diffusive Lotka-Volterra system. The results are used for the construction of exact solutions of the Lotka-Volterra system, which, in turn, are used for solving the corresponding nonlinear boundary-value problems with zero Neumann conditions. The analytic results are compared with the results of computation based on the finite-element method. We conclude that the obtained exact solutions play an important role in solving Neumann boundary-value problems for the Lotka-Volterra system. © 2005 Springer Science+Business Media, Inc.

引用

页码：1665 / 1675

页数：10

共 17 条

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