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Numerical Solution of Second‐Order Impulsive Differential Equations With Loadings Subject to Integral Boundary Conditions

Автор(ы)
Zh. М. Каdirbayeva
Roza Kadirbayeva
Дата публикации
6 января 2025 г.
Тип
journal article
Издатель
Wiley
Журнал
Mathematical Methods in the Applied Sciences
Том
48
Выпуск
6
Первая страница
6269
Последняя страница
6277
DOI
10.1002/mma.10670
ISSN
0170-4214
Аннотация
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.
Темы

impulsive differentia...

second-order differen...

loading

integral boundary con...

numerical solution

systems of linear equ...

Cauchy problem

Области науки (FoS)

Mathematics

Applied Mathematics

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