Additional Boundary Condition in Heat Conductivity Problems with Variables Medium Physical Properties

Additional Boundary Condition in Heat Conductivity Problems with Variables Medium Physical Properties

The field of obtaining approximated analytical solutions of mathematical physics boundary problems is developed. It is based on additional boundary conditions, allowing to define any item number of model (approximated) analytical solutions and to obtain solutions with the required accuracy degree. P...

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Main Authors: E. V. Largina, E. V. Stefanyuk, V. V. Kotov
Format: Article
Language:English
Published: Samara State Technical University 2010-06-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Online Access:http://mi.mathnet.ru/eng/vsgtu805
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spelling doaj-19b79213853146988d3a4991838403812020-11-25T01:22:01ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812010-06-015(21)29129610.14498/vsgtu805Additional Boundary Condition in Heat Conductivity Problems with Variables Medium Physical PropertiesE. V. LarginaE. V. StefanyukV. V. KotovThe field of obtaining approximated analytical solutions of mathematical physics boundary problems is developed. It is based on additional boundary conditions, allowing to define any item number of model (approximated) analytical solutions and to obtain solutions with the required accuracy degree. Physical meaning of additional boundary conditions lies in implementation of the basic differential equation and its different order derivatives at boundary points of the field. It leads to implementation of differential equation within the given field with number of approximations dependant on the accuracy. http://mi.mathnet.ru/eng/vsgtu805
collection DOAJ
language English
format Article
sources DOAJ
author E. V. Largina
E. V. Stefanyuk
V. V. Kotov
spellingShingle E. V. Largina
E. V. Stefanyuk
V. V. Kotov
Additional Boundary Condition in Heat Conductivity Problems with Variables Medium Physical Properties
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
author_facet E. V. Largina
E. V. Stefanyuk
V. V. Kotov
author_sort E. V. Largina
title Additional Boundary Condition in Heat Conductivity Problems with Variables Medium Physical Properties
title_short Additional Boundary Condition in Heat Conductivity Problems with Variables Medium Physical Properties
title_full Additional Boundary Condition in Heat Conductivity Problems with Variables Medium Physical Properties
title_fullStr Additional Boundary Condition in Heat Conductivity Problems with Variables Medium Physical Properties
title_full_unstemmed Additional Boundary Condition in Heat Conductivity Problems with Variables Medium Physical Properties
title_sort additional boundary condition in heat conductivity problems with variables medium physical properties
publisher Samara State Technical University
series Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
issn 1991-8615
2310-7081
publishDate 2010-06-01
description The field of obtaining approximated analytical solutions of mathematical physics boundary problems is developed. It is based on additional boundary conditions, allowing to define any item number of model (approximated) analytical solutions and to obtain solutions with the required accuracy degree. Physical meaning of additional boundary conditions lies in implementation of the basic differential equation and its different order derivatives at boundary points of the field. It leads to implementation of differential equation within the given field with number of approximations dependant on the accuracy.
url http://mi.mathnet.ru/eng/vsgtu805
work_keys_str_mv AT evlargina additionalboundaryconditioninheatconductivityproblemswithvariablesmediumphysicalproperties
AT evstefanyuk additionalboundaryconditioninheatconductivityproblemswithvariablesmediumphysicalproperties
AT vvkotov additionalboundaryconditioninheatconductivityproblemswithvariablesmediumphysicalproperties
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