Asymptotics of solutions and numerical simulation of the nonlinear heat conductivity problem with absorption and variable density

Authors

Mersaid Aripov, National University of UzbekistanFollow
Askar Mukimov, National University of UzbekistanFollow

Abstract

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.

First Page

152

Last Page

164

References

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Recommended Citation

Aripov, Mersaid and Mukimov, Askar (2019) "Asymptotics of solutions and numerical simulation of the nonlinear heat conductivity problem with absorption and variable density," Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences: Vol. 2: Iss. 3, Article 1.
DOI: https://doi.org/10.56017/2181-1318.1028