Reception of Analytical Decisions Nonlinear Problems Of heat Conductivity on the Basis of Introduction Additional
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 120 (2010) no. 1, pp. 162-170
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With use of an integrated method of thermal balance on the basis of introduction of front of temperature indignation and additional boundary conditions the technique of a finding of analytical decisions of nonlinear problems of the non-stationary heat conductivity is considered, allowing to receive satisfactory accuracy of the decision in all range of change of number of Fourier. Decisions have a simple appearance of the sedate algebraic polynoms which are not containing special functions.
Keywords:
nonlinear problems, analytical methods, front of temperature indignation, additional boundary conditions, integral of thermal balance.
@article{VSGTU_2010_120_1_a17,
author = {I. V. Kudinov and V. P. Radchenko},
title = {Reception of {Analytical} {Decisions} {Nonlinear} {Problems} {Of} heat {Conductivity} on the {Basis} of {Introduction} {Additional}},
journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
pages = {162--170},
year = {2010},
volume = {120},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VSGTU_2010_120_1_a17/}
}
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I. V. Kudinov; V. P. Radchenko. Reception of Analytical Decisions Nonlinear Problems Of heat Conductivity on the Basis of Introduction Additional. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 120 (2010) no. 1, pp. 162-170. http://geodesic.mathdoc.fr/item/VSGTU_2010_120_1_a17/
[1] V. A. Kudinov, E. M. Kartashov, V. V. Kalashnikov, Analiticheskie resheniya zadach teplomassoperenosa i termouprugosti dlya mnogosloinykh konstruktsii, Uchebn. posobie dlya vuzov, Vyssh. shk., M., 2005
[2] V. A. Kudinov, “Metod koordinatnykh funktsii v nestatsionarnykh zadachakh teploprovodnosti. Obzor”, Izvest. RAN. Energetika, 2004, no. 3, 84–107
[3] T. Gudmen, “primenenie integralnykh metodov v nelineinykh zadachakh nestatsionarnogo teploobmena”, Problemy teploobmena, Atomizdat, M., 1967, 41–96
[4] N. M. Belyaev, A. A. Ryadno, Metody nestatsionarnoi teploprovodnosti, Uchebn. pos. dlya vuzov, Vyssh. shk., M., 1978