## Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences

#### 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.

Available at:
https://uzjournals.edu.uz/mns_nuu/vol2/iss3/1