AN ALGORITHM FOR SOLVING A BOUNDARY VALUE PROBLEM FOR ESSENTIALLY LOADED DIFFERENTIAL EQUATIONS

Авторы

  • Zh.M. Kadirbayeva Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
  • E.A. Bakirova Kazakh National Women's Teacher Training University, Almaty, Kazakhstan
  • A.Sh. Dauletbayeva Kazakh National Women's Teacher Training University, Almaty, Kazakhstan
  • A.A. Kassymgali Kazakh National Women's Teacher Training University, Almaty, Kazakhstan

Ключевые слова:

essentially loaded differential equation, numerically approximate method, algorithm.

Аннотация

A linear boundary value problem for essentially loaded differential equations is considered. Using the
properties of essentially loaded differential we reduce the considering problem to a two-point boundary value
problem for loaded differential equations. This problem is investigated by parameterization method. We offer
algorithm for solving to boundary value problem for the system of loaded differential equations. This algorithm
includes of the numerical solving of the Cauchy problems for system of the ordinary differential equations and
solving of the linear system of algebraic equations. For numerical solving of the Cauchy problem we apply the
Runge–Kutta method of 4th order. The proposed numerical implementation is illustrated by example.

Загрузки

Опубликован

2021-04-15

Как цитировать

Kadirbayeva, Z., Bakirova, E., Dauletbayeva, A., & Kassymgali, A. (2021). AN ALGORITHM FOR SOLVING A BOUNDARY VALUE PROBLEM FOR ESSENTIALLY LOADED DIFFERENTIAL EQUATIONS. Известия НАН РК. Серия физико-математическая, (2), 6–14. извлечено от https://journals.nauka-nanrk.kz/physics-mathematics/article/view/279

Выпуск

№ 2 (2021): Известия НАН РК. Серия физико-математическая

Раздел

Статьи