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Dergiler / Gazi University Journal of Science / 2026 / Volume: 38 Issue: 1

A Robust Numerical Method For The Singularly Perturbed Integro-Differential Equations

Derya Arslan(BITLIS EREN UNIVERSITY)0000-0001-6138-0607
Ercan Celık(Kyrgyz-Turkish Manas University)0000-0001-5971-7653
Sayfa
—
Yayın Tarihi
2025-03-01
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, example applications are made, showing the accuracy and economics of the presented method.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In the present study, NIM is given to approximate the solution of SPFIDEs.
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Temel Bulgular & Veri:As a first step, the FDM on a uniform mesh is used, followed by the TM for integrals.
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Sonuç & Katkı:Finally, example applications are made, showing the accuracy and economics of the presented method.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Singularly Perturbed Problem(SPP) · Fredholm Integro-Differential Equation(FIDE) · Numerical Integration Method(NIM)

Abstract

In the present study, NIM is given to approximate the solution of SPFIDEs. As a first step, the FDM on a uniform mesh is used, followed by the TM for integrals. After these calculations, the difference equation is obtained in the form of a system of equations. This system of equations is solved with the TA. Finally, example applications are made, showing the accuracy and economics of the presented method.

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Bu Makaleye Atıf Yap

Arslan, D., Celık, E. (2025). A Robust Numerical Method For The Singularly Perturbed Integro-Differential Equations. Gazi University Journal of Science, Volume: 38 Issue: 1. https://doi.org/10.35378/gujs.1498203

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