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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2010, Issue 1(20), Pages 162–170 (Mi vsgtu743)  

Mathematical Modeling

Reception of Analytical Decisions Nonlinear Problems Of heat Conductivity on the Basis of Introduction Additional Boundary Conditions

I. V. Kudinov, V. P. Radchenko

Dept. of Applied Mathematics and Computer Science, Samara State Technical University, Samara

Abstract: 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

DOI: https://doi.org/10.14498/vsgtu743

Full text: PDF file (386 kB) (published under the terms of the Creative Commons Attribution 4.0 International License)
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Bibliographic databases:

UDC: 517.958+519.633
MSC: 80A17, 80M25
Original article submitted 11/X/2009
revision submitted – 15/III/2010

Citation: I. V. Kudinov, V. P. Radchenko, “Reception of Analytical Decisions Nonlinear Problems Of heat Conductivity on the Basis of Introduction Additional Boundary Conditions”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(20) (2010), 162–170

Citation in format AMSBIB
\Bibitem{KudRad10}
\by I.~V.~Kudinov, V.~P.~Radchenko
\paper Reception of Analytical Decisions Nonlinear Problems Of heat Conductivity on the Basis of Introduction Additional
Boundary Conditions
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2010
\vol 1(20)
\pages 162--170
\mathnet{http://mi.mathnet.ru/vsgtu743}
\crossref{https://doi.org/10.14498/vsgtu743}


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  • Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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