Jorge G. Zabadal

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In this work an analytical formulation for solving partial differential equations is proposed. The method dispenses the use of Lie groups to produce maps between exact solutions, and generates nonlocal symmetries admitted by differential equations. The method is applied in water pollution problems, furnishing exact solutions for the advection-diffusion(More)
Air pollution can be very harmful to human health, especially in urban areas of large cities and in the vicinity of chemical industries. In order to prevent and minimize environmental impacts from these industries, it is necessary to use mathematical models, which can simulate scenarios associated with dispersion of pollutants. This work presents a new(More)
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