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Discontinuous solutions in problems of nonlinear heat conduction

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Abstract

We propose a method of constructing discontinuous solutions for nonlinear problems in the theory of heat conduction. The method is a modification of the pivot methods for the solution of linear boundary-value problems. As an illustration we present numerical solutions of two problems.

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Literature cited

  1. S. K. Godunov and V. S. Ryaben'kii, Introduction to the Theory of Different Schemes, Revision 2 [in Russian], Fizmatgiz, Moscow (1962).

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  2. B. P. Demidovich, I. A. Miron, and E. Z. Shuvalova, Numerical Methods of Analysis [in Russian], Fizmatgiz, Moscow (1962).

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Authors and Affiliations

  1. Zhukovskii Central Aerohydrodynamic Institute, Moscow

    V. V. Frolov

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  1. V. V. Frolov
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Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 17, No. 1, pp. 111–117, July, 1969.

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Frolov, V.V. Discontinuous solutions in problems of nonlinear heat conduction. Journal of Engineering Physics 17, 867–872 (1969). https://doi.org/10.1007/BF00828396

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  • DOI: https://doi.org/10.1007/BF00828396

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