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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 73 Issue: 2

A second-order numerical method for pseudo-parabolic equations having both layer behavior and delay parameter

Baransel Güneş(VAN YUZUNCU YIL UNIVERSITY)0000-0002-3265-8881
Hakkı Duru(VAN YUZUNCU YIL UNIVERSITY)0000-0002-3179-3758
Pages
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Publication Date
2024-06-21
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AI Summary & Key Takeaways

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

Finally, some numerical experiments are given to clarify the theory.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, singularly perturbed pseudo-parabolic initial-boundary value problems with time-delay parameter are considered by numerically.
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Key Findings & Data:Initially, the asymptotic properties of the analytical solution are investigated.
💡
Conclusion & Impact:Finally, some numerical experiments are given to clarify the theory.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Delay differential equation · difference scheme · error estimate

Abstract

In this paper, singularly perturbed pseudo-parabolic initial-boundary value problems with time-delay parameter are considered by numerically. Initially, the asymptotic properties of the analytical solution are investigated. Then, a discretization with exponential coefficient is suggested on a uniform mesh. The error approximations and uniform convergence of the presented method are estimated in the discrete energy norm. Finally, some numerical experiments are given to clarify the theory.

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Cite This Article

Güneş, B., Duru, H. (2024). A second-order numerical method for pseudo-parabolic equations having both layer behavior and delay parameter. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 73 Issue: 2. https://doi.org/10.31801/cfsuasmas.1327826

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