Simulation of the spread of pollutants in water using order reduction

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.

Keywords

• Mathematical modelling
• simulation
• spread of pollutants
• algebric processing
• Lie-Bäcklund transformations