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Journals / Advances in the Theory of Nonlinear Analysis and its Application / 2023 / Cilt: 7 Sayı: 2

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

Zhazira Kadirbayeva(International Information Technology University)0000-0001-8861-4100
Anar Turmaganbetkyzy Assanova(Institute of Mathematics and Mathematical Modeling)0000-0001-8697-8920
Elmira Bakirova(Kazakh National Women's Teacher Training University)0000-0002-3820-5373
Pages
362–376
Publication Date
2023-07-23
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Numerical experiments are conducted to demonstrate the accuracy and efficiency.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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).
📊
Key Findings & Data:The presented technique is based on the Dzhumabaev parametrization method.
💡
Conclusion & Impact:Numerical experiments are conducted to demonstrate the accuracy and efficiency.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:two-point boundary value problem · differential equation · piecewise-constant argument of generalized type

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.

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Cite This Article

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, Cilt: 7 Sayı: 2, 362–376. https://doi.org/10.31197/atnaa.1202501

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