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NEWS OF THE NATIONAL ACADEMY OF SCIENCES OF THE REPUBLIC OF KAZAKHSTAN

ISSN
1991-346X
2518-1726
Ключевые слова

Differential Equation...

Stellar, planetary, a...

Topic Modeling

Nonlinear Differentia...

Natural Language Proc...

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    Тип записи:Публикация,
    AN ALGORITHM FOR SOLVING A BOUNDARY VALUE PROBLEM FOR ESSENTIALLY LOADED DIFFERENTIAL EQUATIONS
    (2021-04-15)
    Zh. М. Каdirbayeva
    ;
    E. А. Bakirova
    ;
    A. Sh. Dauletbayeva
    ;
    A. A. Kassymgali
    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.
    Цитирования (OpenAlex) 1