A novel, two-dimensional, non-isothermal, non-adiabatic and non-equilibrium mathematical model of desorption step (regeneration) in electrothermal temperature swing adsorption (ETSA) process in cylindrical coordinates was proposed. Regeneration concerns desorption of the carbonaceous adsorbent (modified Sorbonorit 3 adsorbent bed) loaded with n-butanol. The unique mathematical model has been developed for the internal volumetric heat source capacity, generated in adsorbent bed by induction heating. The internal volumetric heat source capacity depends on temperature, concentration of desorbed compound in solid phase, volumetric fraction in bed of granular iron, electric current intensity, and radial coordinate. Mathematical model of ETSA process was solved by numerical method of lines in non-dimensional, cylindrical coordinate system. The fairly good agreement of computed and experimental results with respect to process characteristics was obtained.