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Simulation of the spread of pollutants in water using order reduction

Author(s): RIBEIRO, V. G. | ZABADAL, J. R. S. | GARCIA, R. L. | VAN der LANN, F. T..

Journal: Salesian Journal on Information Systems
ISSN 1983-5604

Issue: 6;
Start page: 42;
Date: 2010;
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Keywords: Mathematical modelling | simulation | spread of pollutants | algebric processing | Lie-Bäcklund transformations

In this paper, we present a new analytical method for solving problems in water pollution. The method provides a simulation using two differential constraints of first order, from which are found auto-Bäcklund transformations for the equation in two-dimensional advective-diffusive steady state. The main feature of the proposed formulation is the reduced processing time required to obtain the analytical solutions. Results of numerical simulations are presented in graphical format.
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