Multiple Integration of the Heat-Conduction Equation for a Space Bounded From the Inside View Full Text


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Article Info

DATE

2016-03

AUTHORS

V. A. Kot

ABSTRACT

An N-fold integration of the heat-conduction equation for a space bounded from the inside has been performed using a system of identical equalities with definition of the temperature function by a power polynomial with an exponential factor. It is shown that, in a number of cases, the approximate solutions obtained can be considered as exact because their errors comprise hundredths and thousandths of a percent. The method proposed for N-fold integration represents an alternative to classical integral transformations. More... »

PAGES

369-390

References to SciGraph publications

  • 2008-01. A class of integral transformations for the generalized equation of nonstationary heat conduction in JOURNAL OF ENGINEERING PHYSICS AND THERMOPHYSICS
  • 2014-05. Radial Model of Steam Extraction from a High-Temperature Bed by Means of a Single Well in JOURNAL OF ENGINEERING PHYSICS AND THERMOPHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s10891-016-1387-7

    DOI

    http://dx.doi.org/10.1007/s10891-016-1387-7

    DIMENSIONS

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