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Mathematical Methods in the Applied Sciences

ISSN
0170-4214
1099-1476
Издатель
Wiley
Ключевые слова

Nonlinear Differentia...

Differential Equation...

Nonlinear Partial Dif...

Fractional Differenti...

Advanced Mathematical...

Фильтры

20251

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    Тип записи:Публикация,
    Numerical Solution of Second‐Order Impulsive Differential Equations With Loadings Subject to Integral Boundary Conditions
    (Wiley, 2025-01-06)
    Zh. М. Каdirbayeva
    ;
    Roza Kadirbayeva
    ABSTRACT In this paper, we present a computational method for solving the second‐order impulsive differential equations with loadings subject to integral boundary conditions based on the Dzhumabaev parametrization method. The idea of this method involves introducing additional parameters, reducing the original problem to solving a system of linear algebraic equations. The system's coefficients and right‐hand side are determined by solving Cauchy problems for ODEs and by calculating definite integrals. Four examples are provided to show the effectiveness and feasibility of the main results.
    Цитирования (OpenAlex) 9Цитирования (OpenCitations) 6