A new numerical technique for solving a multipoint problem with parameter for impulsive integro-differential equations

E. А. Bakirova, Zh. М. Каdirbayeva, Narkesh B. Iskakova

2026

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DOI 10.1515/ms-2026-0403
Data confidence 70 medium
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Abstract

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.