Abstract
By the continuum-thermodynamic approach it is proposed the mathematical model of mass transfer of admixture in a multicomponent medium with traps under cascade decay of admixture. Whithin scope of the model the admixture concentration on certain step of decay is the source of the mass of the decaying substance, that diffuses and can be sorbed, on the next step. Solutions of the initial-boundary value problems of the cascade type are constructed by the iteration procedure with using Green's functions. The formulae are obtained for finding the mass flows, as well as admixture quantity pass through the layer, at each stage of decay. Software for simulation of the diffusion processes in the body with traps under cascade decay of admixture substances is designed.