A Computational Method for Solving a Boundary-Value Problem for Differential Equations with Piecewise Constant Argument of Generalized Type

Bakirova E.A. Kadirbayeva Z.M. Salgarayeva G.I.
November 2022 Pleiades Publishing

Lobachevskii Journal of Mathematics
2022 #43 Issue 11 3057 - 3064 pp.

Abstract: In this article, a two-point boundary-value problem for a differential equation with piecewise constant argument of generalized type is solved. We develop a numerical algorithm that is based on the parametrization method proposed by Dzhumabaev. The proposed algorithm is expanded to find a numerical solution to the boundary-value problem for differential equations with piecewise constant argument of generalized type. The results are illustrated by numerical example.

Dzhumabaev parametrization method , numerical solution , system of differential equations with piecewise-constant argument of generalized type , two-point boundary value problem

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Institute of Mathematics and Mathematical Modeling, Department of Differential equations, Almaty, 050010/A26G7T4, Kazakhstan
Kazakh National Women’s Teacher Training University, Almaty, 050026/A05M0T6, Kazakhstan
International Information Technology University, Department of Mathematical and Computer Modeling, Almaty, 050040/A15M0F0, Kazakhstan

Institute of Mathematics and Mathematical Modeling
Kazakh National Women’s Teacher Training University
International Information Technology University

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