Simulated heat and mass transfer in a multi-dimensional bodies made of composite materials, in conditions of high heat at the borders of bodies. The simulation is based on the identified laws of decomposition (pyrolysis) binder composite materials and non-linear filtration law pyrolysis gases through a porous residue. For the numerical simulation of nonlinear problems throughout substantially developed a method for the numerical solution of heat transfer and filtering tasks, adapted for the calculation of heat and mass transfer in anisotropic bodies. Based on the numerical results some conclusions and suggestions.