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

被引：4
|
作者：
Kartashov É.M. [1 ]
机构：
[1] Moscow Technological University (Institute of Fine Chemical Technologies), 78 Vernadskii Ave., Moscow
来源：
Journal of Engineering Physics and Thermophysics | 2017年 / 90卷 / 6期
关键词：
generalized equation of nonstationary heat conduction; Green’s function method; integral transforms; inversion formulas; partially bounded region;
D O I：
10.1007/s10891-017-1684-9
中图分类号：
学科分类号：
摘要：
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. © 2017, Springer Science+Business Media, LLC, part of Springer Nature.
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页码：1279 / 1287
页数：8
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