On some method for solving a nonlinear heat equation

被引：9
|
作者：
Rubina, L. I. [1 ]
Ul'yanov, O. N. [1 ]
机构：
[1] Ural Fed Univ, Russian Acad Sci, Ural Div, Inst Math & Mech, Ekaterinburg, Russia
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2012年 / 53卷 / 05期
关键词：
nonlinear partial differential equations; heat equation; boundary value problem; initial-boundary value problem;
D O I：
10.1134/S0037446612050126
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Some exact solutions to a nonlinear heat equation are constructed. An initial-boundary value problem is examined for a nonlinear heat equation. To construct solutions, the problem for a partial differential equation of the second order is reduced to a similar problem for a first order partial differential equation.
引用
收藏
页码：872 / 881
页数：10
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