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

Year 2023, Volume: 7 Issue: 2, 362 - 376, 23.07.2023

Zhazira Kadirbayeva , Anar Turmaganbetkyzy Assanova , Elmira Bakirova

https://doi.org/10.31197/atnaa.1202501

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 Dzhumabaev 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, Dzhumabaev parametrization method, numerical solution

Supporting Institution

Institute of Mathematics and Mathematical Modeling

Project Number

Grant No. AP19174331

Thanks

The authors would like to thank the professors Erdal Karapinar, Haydar Akca and anonymous reviewers for carefully reading the article and for their comments and suggestions which have improved the article.

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