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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 4, Pages 681–692 (Mi zvmmf158)  
This article is cited in 4 scientific papers (total in 4 papers)

Analytical solutions to the heat conduction problems for a cylinder and a ball based on determining the temperature perturbation front

M. S. Antimonov, V. A. Kudinov, E. V. Stefanyuk

Samara State Technical University, Molodogvardeiskaja ul. 244, Samara, 443010, Russia
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Abstract: Analytical solutions to the heat conduction problems for a cylinder and a ball are obtained by the integral method of heat balance. To improve the accuracy of the solutions, the temperature function is approximated by polynomials of high degrees. Their coefficients are determined via introducing additional boundary conditions, which are found from the governing differential equation and the basic boundary conditions, including those specified at the temperature perturbation front. It is shown that the additional boundary conditions, even in the second approximation, lead to a considerable improvement in the solution accuracy.
Key words: heat equation for a cylinder and a ball, numerical-analytical solution method, integral method of heat balance, additional boundary conditions.
Received: 25.09.2006
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 4, Pages 648–658
DOI: https://doi.org/10.1134/S096554250804012X
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: M. S. Antimonov, V. A. Kudinov, E. V. Stefanyuk, “Analytical solutions to the heat conduction problems for a cylinder and a ball based on determining the temperature perturbation front”, Zh. Vychisl. Mat. Mat. Fiz., 48:4 (2008), 681–692; Comput. Math. Math. Phys., 48:4 (2008), 648–658
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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