http://link.springer.com/10.1007%2Fs10891-018-1827-7
2018-07-01
research_article
On the basis of the weighted temperature method, an algorithm of generalized solution of boundary-value problems on the heat conduction in bodies canonical in shape with boundary conditions of general form has been constructed. It is shown that this problem is equivalent, in the limit, to the infinite system of identities including n-fold integral operators for the temperature function, initial and boundary conditions, and internal heat source as well as an additional boundary function (the temperature at one of the boundary points or its derivative with respect to the coordinate of this point). High approximation accuracy of the approach proposed is demonstrated by the example of solving a number of boundary-value problems on nonstationary heat conduction with nonsymmetric and mixed boundary conditions.
1006-1028
2019-04-10T13:21
en
2018-07
false
articles
https://scigraph.springernature.com/explorer/license/
Generalized Solution of the Mixed Heat-Conduction Problem by the Weighted Temperature Method
Kot
V. A.
1573-871X
1062-0125
Journal of Engineering Physics and Thermophysics
Springer Nature - SN SciGraph project
Mathematical Sciences
pub.1106416081
dimensions_id
A. V. Luikov Heat and Mass Transfer Institute, National Academy of Sciences of Belarus, 15 P. Brovka Str, 220072, Minsk, Belarus
A.V. Luikov Heat and Mass Transfer Institute
Pure Mathematics
10.1007/s10891-018-1827-7
doi
f619c37d62a6ad167ae68c10545504b048f11c98ed2669ab994280b1b63c7ff3
readcube_id
4
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