The theoretical bases of mathematical modeling of nonisothermal competitive adsorption
and desorption in nanoporous zeolite media for the extended Langmuir’s equilibrium are given.
They most fully determine the mechanism of adsorption equilibrium for nanoporous particles
media. The effective scheme of linearization of a nonlinear model is implemented. High-speed
analytical solutions of the system of linearized boundary problems of adsorption and desorption
in nanoporous media are justified and obtained using the Heaviside’s operational method.

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