Метод логистической функции для нахождения аналитических решений нелинейных дифференциальных уравнений
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
Россия
доктор физ.-мат. наук, профессор, зав. кафедрой,
115409 Россия, г. Москва, Каширское шоссе, 31
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При поддержке: Russian Science Foundation
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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