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Asymptotics Of Solutions And Numerical Simulation Of The Nonlinear Heat Conductivity Problem With Absorption And Variable Density, Mersaid Aripov, Askar Mukimov

Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences

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.