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A new numerical technique for solving a multipoint problem with parameter for impulsive integro-differential equations
(Springer Science+Business Media, 2026-07-15)
E. А. Bakirova
;
Zh. М. Каdirbayeva
;
Narkesh B. Iskakova
Abstract In this paper, we offer a new numerical technique for solving the linear multipoint problem with parameter for impulsive integro-differential equations. The proposed technique is based on the Dzhumabaev’s parameterization method, one of the ideas of which is to solve a system of linear algebraic equations. The coefficients and right-hand sides of the system are determined by solving Cauchy problems for ordinary differential equations. The given numerical examples showed the efficiency and accuracy of the introduced algorithm.
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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

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