caa a22 4500 606189696 CHVBK 20210128100851.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s10891-015-1207-5 doi (NATIONALLICENCE)springer-10.1007/s10891-015-1207-5 Kot V. A.V. Luikov Heat and Mass Transfer Institute, National Academy of Sciences of Belarus, 15 P. Brovka Str., 220072, Minsk, Belarus aut Weighted Temperature Identities [Elektronische Daten] [V. Kot] It has been shown that the differential heat conduction equation together with the boundary conditions can be recast as a sequence consisting of integral identities for the weighted temperature. Weight functions take into account the properties of the heat conduction equation and the boundary conditions. The sequence of identities was constructed on the basis of multiple differentiation or integration operators. Using the search for eigenvalues of the boundary value problem as an example, we have demonstrated the high efficiency of such systems. Springer Science+Business Media New York, 2015 heat conduction equation nationallicence weight function nationallicence approximate method nationallicence integral identities nationallicence eigenvalues nationallicence Journal of Engineering Physics and Thermophysics Springer US; http://www.springer-ny.com 88/2(2015-03-01), 423-438 1062-0125 88:2<423 2015 88 10891 https://doi.org/10.1007/s10891-015-1207-5 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10891-015-1207-5 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Kot V. A.V. Luikov Heat and Mass Transfer Institute, National Academy of Sciences of Belarus, 15 P. Brovka Str., 220072, Minsk, Belarus aut NATIONALLICENCE 773 0- Journal of Engineering Physics and Thermophysics Springer US; http://www.springer-ny.com 88/2(2015-03-01), 423-438 1062-0125 88:2<423 2015 88 10891