An additive finite-difference method for solving problems in laser thermochemistry (Q1571251)

A new approach to the construction of conservative monotone difference schemes is proposed for the system of equations of laser thermochemistry with well-developed thermal diffusion. These equations are employed in the classical drift-diffusion model of chemical kinetics. The scheme, which is implemented by means of an unconditionally stable diagonalization procedure, converges to a sufficiently smooth solution in the grid \(L_2\)-norm with an \(O(\tau+h^2)\) error.