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Integro-differential method of solving the inverse coefficient heat conduction problem

  • Heat Conduction and Heat Exchange in Technological Processes
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Journal of Engineering Physics and Thermophysics Aims and scope

On the basis of differential transformations, a stable integro-differential method of solving the inverse heat conduction problem is suggested. The method has been tested on the example of determining the thermal diffusivity on quasi-stationary fusion and heating of a quartz glazed ceramics specimen.

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References

  1. A. N. Tikhonov, On the solution of ill-posed problems and the regularization method, Dokl. Akad. Nauk SSSR, 151, No. 3, 501–504 (1963).

    MathSciNet  Google Scholar 

  2. O. M. Alifanov, Inverse Heat Transfer Problems [in Russian], Mashinostroenie (1988).

  3. E. A. Artyukhin and A. S. Okhapkin, Recovery of parameters in the generalized heat-conduction equation using the data of a nonstationary experiment, Inzh.-Fiz. Zh., 42, No. 6, 1013–1020 (1982).

    Google Scholar 

  4. G. A. Frolov and V. L. Baranov, Dynamic of heating a solid body with thermal destruction of its surface, Inzh.-Fiz. Zh., 80, No. 6, 30–43 (2007).

    Google Scholar 

  5. S. D. Ivasishin, Linear Parabolic Boundary Problems [in Russian], Vysshaya Shkola, Kiev (1987).

    Google Scholar 

  6. G. E. Pukhov, Differential Transformations of Functions and Equations [in Russian], Naukova Dumka, Kiev (1980).

    MATH  Google Scholar 

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Authors and Affiliations

  1. I. V. Frantsevich Institute for Problems of Material Science, National Academy of Sciences of Ukraine, 3 Krzhizhanovskii Str., Kiev, 03142, Ukraine

    V. L. Baranov, A. A. Zasyad’ko & G. A. Frolov

Authors
  1. V. L. Baranov
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  2. A. A. Zasyad’ko
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  3. G. A. Frolov
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Corresponding author

Correspondence to G. A. Frolov.

Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 83, No. 1, pp. 54–63, January–February, 2010.

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Baranov, V.L., Zasyad’ko, A.A. & Frolov, G.A. Integro-differential method of solving the inverse coefficient heat conduction problem. J Eng Phys Thermophy 83, 60–71 (2010). https://doi.org/10.1007/s10891-010-0319-1

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  • DOI: https://doi.org/10.1007/s10891-010-0319-1

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