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Numerical solution of a nonlinear reverse problem of heat conduction

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Abstract

Two numerical methods are shown for determining the transient thermal fluxes and temperatures at a surface of a heated plate with variable thermophysical properties. The effect of input data precision on the recovery of boundary functions is also considered.

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Literature cited

  1. M. Lotkin, Mathem. and Phys.,37, No. 2 (1958).

  2. D. K. Fadeev and V. N. Fadeeva, Computer Methods in Linear Algebra [in Russian], Fizmatgiz, Moscow (1963).

    Google Scholar 

  3. K. Lantzosch, Practical Methods of Applied Analysis [Russian translation], Fizmatgiz, Moscow (1961).

    Google Scholar 

  4. A. N. Tikhonov, Dokl. Akad. Nauk SSSR,151, 501–504 (1963).

    Google Scholar 

  5. V. A. Morozov, Dokl. Akad. Nauk SSSR,175, 1225–1228 (1967).

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 25, No. 2, pp. 363–370, August, 1973.

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Alifanov, O.M. Numerical solution of a nonlinear reverse problem of heat conduction. Journal of Engineering Physics 25, 1070–1076 (1973). https://doi.org/10.1007/BF00829864

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  • DOI: https://doi.org/10.1007/BF00829864

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