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On some method for solving a nonlinear heat equation

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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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References

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics of the Ural Division of the Russian Academy of Sciences, Ekaterinburg, Russia

    L. I. Rubina

  2. Institute of Mathematics and Mechanics of the Ural Division of the Russian Academy of Sciences, Ural Federal University, Ekaterinburg, Russia

    O. N. Ul’yanov

Authors
  1. L. I. Rubina
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  2. O. N. Ul’yanov
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Correspondence to L. I. Rubina.

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Original Russian Text Copyright © 2012 Rubina L.I. and Ul’yanov O.N.

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Ekaterinburg. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 53, No. 5, pp. 1091–1101, September–October, 2012.

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Rubina, L.I., Ul’yanov, O.N. On some method for solving a nonlinear heat equation. Sib Math J 53, 872–881 (2012). https://doi.org/10.1134/S0037446612050126

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  • DOI: https://doi.org/10.1134/S0037446612050126

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