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Dergiler / 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
Sayfa
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Yayın Tarihi
2024-06-21
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, singularly perturbed pseudo-parabolic initial-boundary value problems with time-delay parameter are considered by numerically.
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Temel Bulgular & Veri:Initially, the asymptotic properties of the analytical solution are investigated.
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Sonuç & Katkı:Finally, some numerical experiments are given to clarify the theory.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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