Complex multi-factor mathematical models of boride and carbide formation for plasma processing of titan-boron-carbonaceous raw materials and computer programs for implementing them are developed. Models have a block structure and allow to simulate processes of plasma generation, the movement and heat exchange of raw and plasma streams, heating, melting and evaporation of raw materials, its boration and carbonization and formation of disperse products. The "evaporation of raw materials" submodel describes the interaction of plasma flows and commodity units and includes the initial conditions and the outcome variables of hydrodynamic and thermal conditions. The "boration, carbonization of raw materials and particle formation" submodel includes units for changing process conditions and forming nanosized products. Computer programs allow to perform multiple research and engineering calculations of parameters of effective processing of titaniferous raw materials in boride and carbide and the analysis of parametrical sensitivity of the processes of boride and carbide formation.