Two-dimensional model of different material joining using solid-phase synthesis has been formulated. The model represents two-dimensional coupled thermal conductivity problem with allowance for the heat release due to chemical reaction course in an adhesive composition. The problem has been solved numerically with the help of a non-explicit difference scheme, coordinate splitting and linear double-sweep method. The influence of thermophysical parameters difference on the temperature and conversion degree fields, reaction zone width and conversion zone propagation velocity have been determined.