L. I. Rubina, O. N. Ul'yanov, “On some method for solving a nonlinear heat equation”, Sibirsk. Mat. Zh., 2012, Volume 53, Number 5,Pages <nobr>1091

This article is cited in 14 papers

On some method for solving a nonlinear heat equation

L. I. Rubina^a, O. N. Ul'yanov^ab

^a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
^b Ural Federal University, Ekaterinburg

Abstract: 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.

Keywords: nonlinear partial differential equations, heat equation, boundary value problem, initialboundary value problem.

UDC: 517.977

Received: 16.03.2011
Revised: 25.01.2012