S-function in the inverse problems of analytical geometry and in modeling of heat processes

Authors

  • Анатолий Павлович Слесаренко ИПМаш им. А.Н. Подгорного НАН Украины ул. Дм. Пожарского, 2/10, г. Харьков, Украина, 61046, Ukraine

DOI:

https://doi.org/10.15587/1729-4061.2011.1575

Keywords:

S-function, thermal processes, modeling

Abstract

The S-functions proposed that allow constructing the asymptotic approximation of the equation of the boundaries of complex shapes. The application of S-functions considered for solving heat conduction problems

Author Biography

Анатолий Павлович Слесаренко, ИПМаш им. А.Н. Подгорного НАН Украины ул. Дм. Пожарского, 2/10, г. Харьков, Украина, 61046

Доктор физико-математических наук, профессор

Отдел моделирования и идентификации тепловых процессов

References

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  2. Гринберг, Г. А. Избранные вопросы математической теории электрических и магнитных явлений [Текст] / Г.А. Гриндберг. —М.; Л.: Изд-во АН СССР, 1948. - 727 с.
  3. Рвачев, В. Л. Алгебра логики и интегральные преобразования в краевых задачах [Текст] / В.Л. Рвачев, А.П. Слесаренко. -. Киев: Наук. думка, 1976. - 288 с
  4. Рвачев, В. Л. Теория R-функций и некоторые ее приложения [Текст] / В.Л. Рвачев. - Киев: Наук. Думка, 1982. - 552 с.
  5. Слесаренко, А.П. Идентификация нелинейной нестационарной зависимости мощности источника энергии от температуры на базе вариационно-структурного и проекционного методов [Текст] / А.П. Слесаренко, Н.А. Сафонов // Проблемы машиностроения. - 2010. - Т.13, №6. - С. 58-63.
  6. Ильин, В.П. Численные методы решения задач электрооптики [Текст] / В.П. Ильин. - Наука, сибирское отделение, 1974. - 202 с.
  7. Ворожцов, Е.В. Сборник задач по теории разностных схем: Учеб. пособие [Текст] / Е.В. Ворожцов. - Новосибирск: Изд-во НГТУ, 2000. - 41 с.
  8. Слесаренко, А.П. Врахування особливостей у задачах пограничного шару на тілах складного профілю з сингулярними граничними умовами [Текст] / А.П. Слесаренко // Доп. АНУРСР, Сер. А – 1970. - №2. - С. 170-173.

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How to Cite

Слесаренко, А. П. (2012). S-function in the inverse problems of analytical geometry and in modeling of heat processes. Eastern-European Journal of Enterprise Technologies, 3(4(51), 41–46. https://doi.org/10.15587/1729-4061.2011.1575

Issue

Vol. 3 No. 4(51) (2011): Mathematics and cybernetics - fundamental and applied aspects

Section

Mathematics and Cybernetics - applied aspects

License

Copyright (c) 2014 Анатолий Павлович Слесаренко

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