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Simulation of the spread of pollutants in water using order reductionKeywords: Mathematical modelling , simulation , spread of pollutants , algebric processing , Lie-B cklund transformations 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-B cklund 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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