Метод логистической функции для нахождения аналитических решений нелинейных дифференциальных уравнений


https://doi.org/10.18255/1818-1015-2015-1-23-37

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Аннотация

Для нахождения точных решений нелинейных дифференциальных уравнений используется метод логистической функции. Применение метода иллюстрируется на примере нелинейного обыкновенного дифференциального уравнения четвертого порядка. Представлены аналитические решения, полученные с помощью этого метода. Как оказалось, эти решения выражаются через экспоненциальные функции.


Об авторе

Николай Алексеевич Кудряшов
Национальный исследовательский ядерный университет МИФИ
Россия

доктор физ.-мат. наук, профессор, зав. кафедрой,

 115409 Россия, г. Москва, Каширское шоссе, 31



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Дополнительные файлы

Для цитирования: Кудряшов Н.А. Метод логистической функции для нахождения аналитических решений нелинейных дифференциальных уравнений. Моделирование и анализ информационных систем. 2015;22(1):23-37. https://doi.org/10.18255/1818-1015-2015-1-23-37

For citation: Kudryashov N.A. Method of the Logistic Function for Finding Analytical Solutions of Nonlinear Differential Equations. Modeling and Analysis of Information Systems. 2015;22(1):23-37. https://doi.org/10.18255/1818-1015-2015-1-23-37

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