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

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...

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Main Authors: V. P. Radchenko, I. V. Kudinov
Format: Article
Language:English
Published: Samara State Technical University 2010-03-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Online Access:http://mi.mathnet.ru/eng/vsgtu743
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author V. P. Radchenko
I. V. Kudinov
author_facet V. P. Radchenko
I. V. Kudinov
author_sort V. P. Radchenko
collection DOAJ
description 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.
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spelling doaj.art-348841cebd8f4503bdf979e64febb6d42022-12-22T00:48:35ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812010-03-011(20)16217010.14498/vsgtu743Reception of Analytical Decisions Nonlinear Problems Of heat Conductivity on the Basis of Introduction Additional Boundary ConditionsV. P. RadchenkoI. V. KudinovWith 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.http://mi.mathnet.ru/eng/vsgtu743
spellingShingle V. P. Radchenko
I. V. Kudinov
Reception of Analytical Decisions Nonlinear Problems Of heat Conductivity on the Basis of Introduction Additional Boundary Conditions
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
title Reception of Analytical Decisions Nonlinear Problems Of heat Conductivity on the Basis of Introduction Additional Boundary Conditions
title_full Reception of Analytical Decisions Nonlinear Problems Of heat Conductivity on the Basis of Introduction Additional Boundary Conditions
title_fullStr Reception of Analytical Decisions Nonlinear Problems Of heat Conductivity on the Basis of Introduction Additional Boundary Conditions
title_full_unstemmed Reception of Analytical Decisions Nonlinear Problems Of heat Conductivity on the Basis of Introduction Additional Boundary Conditions
title_short Reception of Analytical Decisions Nonlinear Problems Of heat Conductivity on the Basis of Introduction Additional Boundary Conditions
title_sort reception of analytical decisions nonlinear problems of heat conductivity on the basis of introduction additional boundary conditions
url http://mi.mathnet.ru/eng/vsgtu743
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AT ivkudinov receptionofanalyticaldecisionsnonlinearproblemsofheatconductivityonthebasisofintroductionadditionalboundaryconditions