Geodesic
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, no. 1 (2010), pp. 162-170.

Voir la notice de l'article provenant de la source Math-Net.Ru

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_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},
     publisher = {mathdoc},
     number = {1},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2010_1_a17/}
}
TY  - JOUR
AU  - I. V. Kudinov
AU  - V. P. Radchenko
TI  - Reception of Analytical Decisions Nonlinear Problems Of heat Conductivity on the Basis of Introduction Additional
JO  - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
PY  - 2010
SP  - 162
EP  - 170
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGTU_2010_1_a17/
LA  - ru
ID  - VSGTU_2010_1_a17
ER  - 
%0 Journal Article
%A I. V. Kudinov
%A V. P. Radchenko
%T Reception of Analytical Decisions Nonlinear Problems Of heat Conductivity on the Basis of Introduction Additional
%J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
%D 2010
%P 162-170
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGTU_2010_1_a17/
%G ru
%F VSGTU_2010_1_a17
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, no. 1 (2010), pp. 162-170. http://geodesic.mathdoc.fr/item/VSGTU_2010_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