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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2022 / Volume: 71 Issue: 4

Parameter uniform second-order numerical approximation for the integro-differential equations involving boundary layers

Muhammet Enes Durmaz(KIRKLARELI UNIVERSITY)0000-0002-6216-1032
Musa Çakır(VAN YUZUNCU YIL UNIVERSITY)0000-0002-1979-570X
Gabil Amirali(ERZINCAN BINALI YILDIRIM UNIVERSITY)0000-0001-6585-7353
Pages
—
Publication Date
2022-12-30
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AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The stability and convergence of the proposed discretization technique are analyzed and one example is solved to display the advantages of the presented technique.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The work handles a Fredholm integro-differential equation involving boundary layers.
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Key Findings & Data:A fitted second-order difference scheme has been created on a uniform mesh utilizing interpolating quadrature rules and exponential basis functions.
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Conclusion & Impact:The stability and convergence of the proposed discretization technique are analyzed and one example is solved to display the advantages of the presented technique.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Finite difference method · Fredholm integro-differential equation · singular perturbation

Abstract

The work handles a Fredholm integro-differential equation involving boundary layers. A fitted second-order difference scheme has been created on a uniform mesh utilizing interpolating quadrature rules and exponential basis functions. The stability and convergence of the proposed discretization technique are analyzed and one example is solved to display the advantages of the presented technique.

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Cite This Article

Durmaz, M. E., Çakır, M., Amirali, G. (2022). Parameter uniform second-order numerical approximation for the integro-differential equations involving boundary layers. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 71 Issue: 4. https://doi.org/10.31801/cfsuasmas.1072728

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