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

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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.

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Funding

This research is funded by the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan (grant no. AP08855726).

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Authors and Affiliations

  1. Institute of Mathematics and Mathematical Modeling, Department of Differential equations, 050010/A26G7T4, Almaty, Kazakhstan

    E. A. Bakirova & Zh. M. Kadirbayeva

  2. Kazakh National Women’s Teacher Training University, 050026/A05M0T6, Almaty, Kazakhstan

    E. A. Bakirova & G. I. Salgarayeva

  3. International Information Technology University, Department of Mathematical and Computer Modeling, 050040/A15M0F0, Almaty, Kazakhstan

    Zh. M. Kadirbayeva

Authors
  1. E. A. Bakirova
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  2. Zh. M. Kadirbayeva
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  3. G. I. Salgarayeva
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Corresponding authors

Correspondence to E. A. Bakirova, Zh. M. Kadirbayeva or G. I. Salgarayeva.

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(Submitted by A. T. Assanova)

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Bakirova, E.A., Kadirbayeva, Z.M. & Salgarayeva, G.I. A Computational Method for Solving a Boundary-Value Problem for Differential Equations with Piecewise Constant Argument of Generalized Type. Lobachevskii J Math 43, 3057–3064 (2022). https://doi.org/10.1134/S1995080222140050

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  • DOI: https://doi.org/10.1134/S1995080222140050

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