On some method for solving a nonlinear heat equation |
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| Authors: | L. I. Rubina O. N. Ul’yanov |
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| Affiliation: | 1. Institute of Mathematics and Mechanics of the Ural Division of the Russian Academy of Sciences, Ekaterinburg, Russia
2. Institute of Mathematics and Mechanics of the Ural Division of the Russian Academy of Sciences, Ural Federal University, Ekaterinburg, Russia
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| 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. |
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