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Simulation of the spread of pollutants in water using order reduction

Autores: Vinicius Gadis RIBEIRO, Jorge Rodolfo Silva ZABADAL, Renato Letizia GARCIA and Flávio Tadeu VAN der LAAN

Abstract: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.

Key Words:Mathematical modelling, simulation, spread of pollutants, algebric processing, Lie-Bäcklund transformations.

Full text (in portuguese)

Complete Reference: RIBEIRO, V. G.; ZABADAL, J. R. S.; GARCIA, R. L.; VAN der LANN, F. T../ Revista de Sistemas de Informação da FSMA n 6 (2010) pp. 42 – 48

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