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Method of Weighted Temperature Function

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Journal of Engineering Physics and Thermophysics Aims and scope

A method of weighted temperature function is proposed for approximate solution of boundary-value problems of nonstationary heat conduction on the basis of identical-equality systems for the indicated function. This method was investigated in solving symmetric problems formulated in the general form with the first-, second-, and third-kind boundary conditions. The data obtained point to the high efficiency and convergence of the method of weighted temperature function.

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References

  1. V. A. Kot, Weighted temperature identities, J. Eng. Phys. Thermophys., 88, No. 2, 406–422 (2015).

    Article  Google Scholar 

  2. Yu. I. Babenko, Heat and Mass Transfer. A Method for Calculating Thermal and Diffusional Flows [in Russian], Khimiya, Leningrad (1986).

  3. N. S. Koshlyakov, É. B. Gliner, and M. M. Smirnov, Equations of Mathematical Physics [in Russian], Vysshaya Shkola, Moscow (1970).

  4. E. N. Tugolukov, Solution of Heat Conduction Problems by the Method of Finite Integral Transformations [in Russian], Izd. Tambovsk. Gos. Tekh. Univ., Tambov (2005).

  5. H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids [Russian translation], Nauka, Moscow (1964).

  6. P. V. Tsoi, System Methods for Calculating the Boundary-Value Problems of Heat and Mass Transfer [in Russian], Izd. MÉI, Moscow (2005).

  7. V. A. Kudinov, Method of coordinate functions in nonstationary heat conduction problems, Izv. Ross. Akad. Nauk, Énerg., No. 3, 84–107 (2004).

  8. V. A. Kudinov, É. M. Kartashov, and V. V. Kalashnikov, Analytical Solutions of Problems of Heat and Mass Transfer and Thermal Elasticity for Multilayer Constructions [in Russian], Vysshaya Shkola, Moscow (2005).

  9. A. V. Luikov, Heat Conduction Theory [in Russian], Vysshaya Shkola, Moscow (1967).

  10. C. Fletcher, Numerical Methods Based on the Galerkin Methods [Russian translation], Mir, Moscow (1988).

  11. S. G. Mikhlin, Variational Methods in Mathematical Physics [in Russian], Nauka, Moscow (1970).

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Correspondence to V. A. Kot.

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 89, No. 1, pp. 183–202, January–February, 2016.

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Kot, V.A. Method of Weighted Temperature Function. J Eng Phys Thermophy 89, 192–211 (2016). https://doi.org/10.1007/s10891-016-1367-y

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  • DOI: https://doi.org/10.1007/s10891-016-1367-y

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