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Your search keyword '"Dutka, V."' showing total 1 results
Start Over Author "Dutka, V." Publication Type Academic Journals Journal ukrainian mathematical journal Publisher springer nature
1 results on '"Dutka, V."'

1. Diffusive Lotka-Volterra System: Lie Symmetries and Exact and Numerical Solutions.

Author

Cherniha, R. and Dutka, V.

Subjects
*SYMMETRY, *BOUNDARY value problems, *DIFFERENTIAL equations, *NONLINEAR systems, *MATHEMATICS, *SCIENCE
Abstract

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. [ABSTRACT FROM AUTHOR]

Published
2004
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