Қазақ ұлттық қыздар педагогикалық университеті / Казахский национальный женский педагогический университет

Постоянный URI для этого сообществаhttps://cris.qyzpu.edu.kz/handle/123456789/1

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Автор: search.filters.author.Narkesh B. IskakovaТема: search.filters.subject.numerical algorithms

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    Тип записи:Публикация,
    An Algorithm for Solving Boundary Value Problems for Delay Differential Equations with Loadings
    (Pleiades Publishing, 2024-10-01)
    Narkesh B. Iskakova
    ;
    E. А. Bakirova
    ;
    Б.С. Ханжарова
    ;
    Zh. М. Каdirbayeva
    Abstract In this paper, we propose an efficient numerical algorithm for solving linear two-point boundary value problem for delay differential equations with loadings. The Dzhumabaev parametrization method is applied to construct the numerical solutions. The application of the this method leads the considering problem to a system of algebraic equations and Cauchy problems for differential equation without delay argument that are easy to solve. Several illustrative examples are given to demonstrate the effectiveness of the proposed algorithm.
    Цитирования (OpenAlex) 8Цитирования (OpenCitations) 4
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    Numerical implementation of solving a boundary value problem including both delay and parameter
    (Springer Science+Business Media, 2025-06-01)
    Zh. М. Каdirbayeva
    ;
    Narkesh B. Iskakova
    ;
    E. А. Bakirova
    Abstract In this paper, a new technique, namely the Dzhumabaev parameterization method, is presented and applied to linear boundary value problem with parameter for delay differential equation to find an efficient algorithm for their approximate solutions. Effectiveness of this algorithm is tested by examples of second-order delay differential equations and linear boundary value problem with parameter for delay differential equations. Obtained results reveal that proposed algorithm of the Dzhumabaev parameterization method is highly efficient and straightforward to execute.
    Цитирования (OpenAlex) 3Цитирования (OpenCitations) 2