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Solution of a Nonlinear Heat Conduction Equation for a Curvilinear Region with Dirichlet Conditions by the Fast-Expansion Method

  • HEAT CONDUCTION AND HEAT TRANSFER IN TECHNOLOGICAL PROCESSES
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Journal of Engineering Physics and Thermophysics Aims and scope

The analytical solution of the nonlinear heat conduction problem for a curvilinear region is obtained with the use of the fast-expansion method together with the method of extension of boundaries and pointwise technique of computing Fourier coefficients.

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Authors and Affiliations

  1. Voronezh State University of Engineering Technologies, 19 Revolyutsiya Ave., Voronezh, 394000, Russia

    A. D. Chernyshov

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  1. A. D. Chernyshov
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Correspondence to A. D. Chernyshov.

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 91, No. 2, pp. 456–468, March–April, 2018.

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Chernyshov, A.D. Solution of a Nonlinear Heat Conduction Equation for a Curvilinear Region with Dirichlet Conditions by the Fast-Expansion Method. J Eng Phys Thermophy 91, 433–444 (2018). https://doi.org/10.1007/s10891-018-1764-5

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  • DOI: https://doi.org/10.1007/s10891-018-1764-5

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