Integral transforms in mathematical modeling of three-dimensional temperature fields by structural projection method

Authors

  • Анатолий Павлович Слесаренко The A.N. Podgorny Institute for Mechanical Engineering Problems of the NAS of Ukraine, 2/10 Dm. Pozharsky St., Kharkiv, 61046, Ukraine, Ukraine
  • Станислав Юрьевич Загоруйко The A.N. Podgorny Institute for Mechanical Engineering Problems of the NAS of Ukraine, 2/10 Dm. Pozharsky St., Kharkiv, 61046, Ukraine, Ukraine
  • Юлия Олеговна Кобринович The A.N. Podgorny Institute for Mechanical Engineering Problems of the NAS of Ukraine, 2/10 Dm. Pozharsky St., Kharkiv, 61046, Ukraine, Ukraine

DOI:

https://doi.org/10.15587/1729-4061.2012.4909

Keywords:

mathematical modeling, the temperature field, S-functions.

Abstract

The paper proposes the combined use of integral transformations of S-functions, structure and projection methods for mathematical modeling of three-dimensional temperature fields in solids with non-canonical cross-sections.

Author Biographies

Анатолий Павлович Слесаренко, The A.N. Podgorny Institute for Mechanical Engineering Problems of the NAS of Ukraine, 2/10 Dm. Pozharsky St., Kharkiv, 61046, Ukraine

Doctor of physical-mathematical sciences, professor, leading researcher, laureate of State Prize of Ukraine

Станислав Юрьевич Загоруйко, The A.N. Podgorny Institute for Mechanical Engineering Problems of the NAS of Ukraine, 2/10 Dm. Pozharsky St., Kharkiv, 61046, Ukraine

Master's degree, post-graduate student

Юлия Олеговна Кобринович, The A.N. Podgorny Institute for Mechanical Engineering Problems of the NAS of Ukraine, 2/10 Dm. Pozharsky St., Kharkiv, 61046, Ukraine

Master's degree, post-graduate student

References

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  2. Рвачев, В.Л. Теория R-функций и некоторые ее приложения физике [Текст] / В.Л. Рвачев. - К. : Наук. думка, 1982. – 552с.
  3. Теория R-функций и актуальные проблемы прикладной математики [Текст] / Ю.Г. Стоян, В.С. Проценко, Г.П. Манько и др. - К. : Наук. думка, 1986. – 264 с.
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  8. Диткин, В.А. Интегральные преобразования и операционное исчисчление [Текст] / В.А. Диткин, А.П. Прудников. – М. : Наука, 1974. – 524 с.
  9. Слесаренко, А.П. Развитие алгебро-логического метода и его приложения к многомерным нелинейным задачам теплопроводности для однородных и композитных сред. [Текст] : автореф. дис. ... д-ра физ.-мат. Наук / А.П. Слесаренко – М., 1984. – 36 с.
  10. Тихонов, А.Н. Уравнения математической физики [Текст] / А.Н Тихонов, А.А. Самарский. – М.: Наука, 1972. – 735 с.
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Published

2012-07-05

How to Cite

Слесаренко, А. П., Загоруйко, С. Ю., & Кобринович, Ю. О. (2012). Integral transforms in mathematical modeling of three-dimensional temperature fields by structural projection method. Eastern-European Journal of Enterprise Technologies, 4(4(58), 43–49. https://doi.org/10.15587/1729-4061.2012.4909

Issue

Vol. 4 No. 4(58) (2012): Mathematics and cybernetics - fundamental and applied aspects

Section

Mathematics and Cybernetics - applied aspects

License

Copyright (c) 2014 Анатолий Павлович Слесаренко, Станислав Юрьевич Загоруйко, Юлия Олеговна Кобринович

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