A conjugated equation of transport and diffusion of aerosol particles in the atmosphere considering the capture of particles by vegetation elements

A mathematical model and a numerical algorithm to study the process of transfer and diffusion of harmful substances are discussed in this article. The proposed model considers the capture of particles by plant elements, which plays a significant role in the dynamics of the process under study. The proposed mathematical model monitors and forecasts the environmental conditions of industrial areas, and helps take measures to protect them from the negative impact of anthropogenous factor. To solve the problem posed, a numerical algorithm based on an implicit finite- difference scheme was developed with a high-order accuracy; it makes it possible to conduct computational experiments on a computer.

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