Email this article Application of the modified boundary element method for the solution of parabolic problems
- Authors: Fedotov V.P1, Nefedova O.A1
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Affiliations:
- Institute of Teoretical Engineering, Ural Branch of RAS
- Issue: Vol 15, No 4 (2011)
- Pages: 93-101
- Section: Articles
- URL: https://journals.eco-vector.com/1991-8615/article/view/20950
- ID: 20950
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Abstract
An algorithm for finding numerically-analytical solution of parabolic problems (diffusion and heat conduction) is proposed. The problem is solved by the proposed algorithm in three steps. At the first step the one-dimensional problem is solved for a base interval of integration. This problem is of independent significance as well as the basis for the second step. At the second step the two-dimensional parabolic problem is considered. Its solution is performed using the modified boundary elements method. At the third step, the method of step-by-step integration over time is used.
About the authors
Vladimir P Fedotov
Institute of Teoretical Engineering, Ural Branch of RAS
Email: fedotov_vp@mail.ru
д.т.н., проф.), главный научный сотрудник, лаб. прикладной механики; Институт машиноведения УрО РАН; Institute of Teoretical Engineering, Ural Branch of RAS
Olga A Nefedova
Institute of Teoretical Engineering, Ural Branch of RAS
Email: nefedova@imach.uran.ru
младший научный сотрудник, лаб. прикладной механики; Институт машиноведения УрО РАН; Institute of Teoretical Engineering, Ural Branch of RAS
References
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- Лыков А. В. Теория теплопроводности. М.: Высш. шк., 1967. 600 с.
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