A new computational approach for solving a boundary-value problem for DEPCAG

Open Access

Original research article

Author(s):

Zhazira Kadirbayeva^a, Anar Assanova^b, Elmira Bakirova^b

^a Department of Differential Equations, Institute of Mathematics and Mathematical Modeling, International Information Technology University, Almaty, Kazakhstan.
^b Department of Differential Equations, Institute of Mathematics and Mathematical Modeling, Kazakh National Women’s Teacher Training University, Almaty, Kazakhstan.

Advances in the Theory of Nonlinear Analysis and its Applications 7(2), 362-376.

Received: November 10, 2022

Accepted: March 11, 2023

Published: April 30, 2023

Abstract

In this paper, a new computational approach is presented to solve a boundary-value problem for a differential equation with piecewise constant argument of generalized type (DEPCAG). The presented technique is based on the Dzhumbaev parametrization method. A useful numerical algorithm is developed to obtain the numerical values from the problem. Numerical experiments are conducted to demonstrate the accuracy and efficiency.

Keywords: Two-point boundary value problem, differential equation, piecewise-constant argument of generalized type, Dzhumbaev parametrization method, numerical solution.

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APA Style

Kadirbayeva, Z., Assanova, A. T., & Bakirova, E. (2023). A new computational approach for solving a boundary-value problem for DEPCAG. Advances in the Theory of Nonlinear Analysis and its Application, 7(2), 362-376.