Kalinichenko, M. I.; Karamzin, Yu. N. An additive finite-difference method for solving problems in laser thermochemistry. (English. Russian original) Zbl 1040.80503 Comput. Math. Math. Phys. 38, No. 9, 1514-1518 (1998); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 9, 1578-1582 (1998). 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. Reviewer: Alexey Tret’yakov (Siedlce) MSC: 80M20 Finite difference methods applied to problems in thermodynamics and heat transfer 65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs 80A30 Chemical kinetics in thermodynamics and heat transfer Keywords:Laser thermochemistry; difference schemes; system of equations; numerical method; solution; convergence PDF BibTeX XML Cite \textit{M. I. Kalinichenko} and \textit{Yu. N. Karamzin}, Comput. Math. Math. Phys. 38, No. 9, 1514--1518 (1998; Zbl 1040.80503); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 9, 1578--1582 (1998)