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

页码：872 / 881

页数：10