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Use of splines in the solution of inverse boundary problems of heat conduction

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Abstract

A stable algorithm is proposed for the solution of one-dimensional inverse boundary problems of heat conduction based on the solution of the Cauchy problem. The incorrectness of the problem is eliminated by the use of regularized splines.

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Literature cited

  1. A. N. Tikhonov and V. Ya. Arsenin, Methods for Solving Incorrect Problems [in Russian], Nauka, Moscow (1974).

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Authors and Affiliations

  1. Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Denpropetrovsk Branch, USSR

    A. A. Shmukin & N. M. Lazuchenkov

Authors
  1. A. A. Shmukin
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  2. N. M. Lazuchenkov
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Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 34, No. 2, pp. 338–343, February, 1978.

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Shmukin, A.A., Lazuchenkov, N.M. Use of splines in the solution of inverse boundary problems of heat conduction. Journal of Engineering Physics 34, 231–235 (1978). https://doi.org/10.1007/BF00861248

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  • DOI: https://doi.org/10.1007/BF00861248

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