A basis for the mathematical modeling of non-isothermal gas competitive adsorption in a porous solid using Langmuir equilibrium is given. High-performance analytical solutions of considered adsorption models based on the Heaviside operating method and Landau’s decomposition and linearization approach of Langmuir equilibrium by expanding into a convergent series in the temperature phase transition point are proposed.
Numerical experiments results based on high-speed computations on multicore computers are presented.

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