Application of neural networks in numerical solution of some systems of differential equations

Authors

  • Лариса Ивановна Короткая Украинский государственный химико-технологический университет пр. Гагарина, 8, г. Днепропетровск, Украина, 49005, Ukraine

DOI:

https://doi.org/10.15587/1729-4061.2011.1570

Keywords:

Neural network, aggressive environment, systems of differential equalizations, corrodible construction, corrosion

Abstract

The approach to the decision of some systems of the differential equations describing corrosion process, based on use of artificial neural networks is offered

Author Biography

Лариса Ивановна Короткая, Украинский государственный химико-технологический университет пр. Гагарина, 8, г. Днепропетровск, Украина, 49005

Ассистент

Кафедра компьютерных технологий и высшей математики

References

  1. Зеленцов Д.Г. Обзор исследований по применению методов нелинейного математического программирования к оптимальному проектированию конструкций, взаимодействующих с агрессивной средой. [Текст] / Д.Г. Зеленцов, Г.В. Филатов // Вопросы химии и химической технологии. Научно-технический журнал – 2002. – №4. – С. 108 – 115.
  2. Зеленцов Д.Г. Моделирование нечётких ограничений в задачах оптимизации корродирующих конструкций. [Текст] / Д.Г. Зеленцов, Л.И. Короткая. // Проблеми інформаційних технологій – 2010. – №1 (007) – С. 26 – 31.
  3. Зеленцов Д.Г. Расчёт конструкций с изменяющейся геометрией в агрессивных средах. Стержневые системы. [Текст] / Д.Г. Зеленцов. – Днепропетровск: УГХТУ, 2002. – 168 с.
  4. Хайкин С. Нейронные сети: полный курс, 2-е изд.: пер. с англ. [Текст] / Саймон Хайкин. – М.: Издательский дом «Вильямс», 2006. – 1104 с.: ил.
  5. Круглов В.В. Нечёткая логика и искусственные нейронные сети [Текст] / В.В. Круглов, М.И. Дли, Р.Ю. Голунов. – М.: Физматлит, 2001. – 224 с.

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How to Cite

Короткая, Л. И. (2012). Application of neural networks in numerical solution of some systems of differential equations. Eastern-European Journal of Enterprise Technologies, 3(4(51), 24–27. https://doi.org/10.15587/1729-4061.2011.1570

Issue

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

Section

Mathematics and Cybernetics - applied aspects

License

Copyright (c) 2014 Лариса Ивановна Короткая

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