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Solution of the linear one-dimensional inverse heat-conduction problem on the basis of a hyperbolic equation

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Abstract

The linear problem of determining the temperature in an infinite one-dimensional plate with a stationary heat sensor and a stationary boundary is solved. The allowable approximation time steps in the calculations can be diminished by using a hyperbolic heat-conduction equation with a suitably chosen hyperbolicity parameter.

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Literature cited

  1. I. A. Novikov, “Solution of linear inverse heat-conduction boundary-value problems,” Inzh.-Fiz. Zh.,35, No. 4, 529–535 (1978).

    Google Scholar 

  2. A. V. Lykov, Theory of Heat Conduction [in Russian], Vysshaya Shkola, Moscow (1967).

    Google Scholar 

  3. A. G. Temkin, Inverse Heat-Conduction Methods [in Russian], Énergiya, Moscow (1973).

    Google Scholar 

  4. V. I. Krylov, V. V. Bobkov, and P. I. Monastyrskii, Computational Methods [in Russian], Vol. 2, Nauka, Moscow (1977).

    Google Scholar 

  5. G. Doetsch, Handbook for the Practical Application of the Laplace and z-Transforms [Russian translation], Nauka, Moscow (1971).

    Google Scholar 

  6. V. I. Smirnov, Course in Higher Mathematics [in Russian], Vol. 4, GITTL, Moscow (1953).

    Google Scholar 

  7. O. M. Alifanov, “The inverse heat-conduction problem,” Inzh.-Fiz. Zh.,25, No. 3, 530–537 (1973).

    Google Scholar 

  8. O. M. Alifanov, Identification of Aircraft Heat-Transfer Processes [in Russian], Mashinostroenie, Moscow (1979).

    Google Scholar 

  9. O. M. Alifanov, E. A. Artyukhin, and B. M. Pankratov, “Solution of the nonlinear inverse problem for the generalized heat-conduction equation in a domain with moving boundaries,” Inzh.-Fiz. Zh.,29, No. 1, 151–158 (1975).

    Google Scholar 

  10. I. M. Taganov, Modeling of Mass and Energy Transport Processes [in Russian], Khimiya, Leningrad (1979).

    Google Scholar 

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Authors and Affiliations

  1. Leningrad Branch, Scientific-Research Institute of the Rubber Industry, USSR

    I. A. Novikov

Authors
  1. I. A. Novikov
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Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 40, No. 6, pp. 1093–1098, June, 1981.

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Novikov, I.A. Solution of the linear one-dimensional inverse heat-conduction problem on the basis of a hyperbolic equation. Journal of Engineering Physics 40, 668–672 (1981). https://doi.org/10.1007/BF00825460

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  • DOI: https://doi.org/10.1007/BF00825460

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