Asymptotics of solutions and numerical simulation of the nonlinear heat conductivity problem with absorption and variable density
Мерсаид Арипов, A. Mukimov · Bulletin of National University of Uzbekistan Mathematics and Natural Sciences · 2019
In the present work, the asymptotic behavior of the solutions of the nonlinear variable-density thermal conductivity problem with absorption is obtained. The critical value parameter is considered. The resulting asymptotics was used as an initial approximation, numerical calculations were performed. As a difference scheme, a three-layer difference scheme was used, which, unlike a two-layer scheme, has greater accuracy.