caa a22 4500 606188363 CHVBK 20210128100845.0 cr unu---uuuuu 210128e20151101xx s 000 0 eng 10.1007/s10891-015-1324-1 doi (NATIONALLICENCE)springer-10.1007/s10891-015-1324-1 Kot V. A. V. Luikov Heat and Mass Transfer Institute, National Academy of Sciences of Belarus, 15 P. Brovka Str., 220072, Minsk, Belarus aut Method of Boundary Characteristics [Elektronische Daten] [V. Kot] A new integral method based on the system of identical equalities of 2n-multiple integrals of the desired temperature function and the corresponding boundary characteristics is presented. This method was used for the approximate solution of problems of a semi-bounded space and a lengthy plate with first-kind boundary conditions. The results obtained show that the integral method of boundary characteristics surpasses the analogous integral methods by several orders of magnitude in accuracy and convergence of approximate solutions. The solutions constructed with this method are exact in essence because the errors in determining parameters in a wide range of their values comprise hundredths and ten-thousands of a percent. Springer Science+Business Media New York, 2015 heat-condition equation nationallicence boundary characteristics nationallicence disturbance front nationallicence heat-balance integral nationallicence identical equality nationallicence integral method nationallicence Journal of Engineering Physics and Thermophysics Springer US; http://www.springer-ny.com 88/6(2015-11-01), 1390-1408 1062-0125 88:6<1390 2015 88 10891 https://doi.org/10.1007/s10891-015-1324-1 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/s10891-015-1324-1 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 88/6(2015-11-01), 1390-1408 1062-0125 88:6<1390 2015 88 10891