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Integral Transformations for the Generalized Equation of Nonstationary Heat Conduction in a Partially Bounded Region

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A mathematical theory of constructing integral transforms and formulas of their inversion for the generalized equation of nonstationary heat conduction in an infinite region, bounded from the inside by a… Click to show full abstract

A mathematical theory of constructing integral transforms and formulas of their inversion for the generalized equation of nonstationary heat conduction in an infinite region, bounded from the inside by a plane, a cylindrical, or a spherical surface, and the Green′s function method have been developed. Integral relations for analytical solutions of boundary-value problems in the indicated region are proposed. Illustrative examples are considered.

Keywords: equation nonstationary; heat conduction; nonstationary heat; generalized equation; region

Journal Title: Journal of Engineering Physics and Thermophysics
Year Published: 2017

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