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Journals / Turkish Journal of Mathematics / 2022 / Cilt: 46 - Sayı: 1

Numerical solution of a singularly perturbed Fredholm integro differential equation with Robin boundary condition

Gabil M. AMIRALIYEV
Mustafa KUDU
Muhammet Enes DURMAZ
Pages
207–224
Publication Date
2022-11-01
DOI
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AI Summary & Key Takeaways

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

Some numerical examples have been solved and numerical outcomes are obtained.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we deal with singularly perturbed Fredholm integro differential equation (SPFIDE) with mixed boundary conditions.
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Key Findings & Data:By using interpolating quadrature rules and exponential basis function, fitted second order difference scheme has been constructed on a Shishkin mesh.
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Conclusion & Impact:Some numerical examples have been solved and numerical outcomes are obtained.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we deal with singularly perturbed Fredholm integro differential equation (SPFIDE) with mixed boundary conditions. By using interpolating quadrature rules and exponential basis function, fitted second order difference scheme has been constructed on a Shishkin mesh. The stability and convergence of the difference scheme have been analyzed in the discrete maximum norm. Some numerical examples have been solved and numerical outcomes are obtained.

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Cite This Article

AMIRALIYEV, G. M., KUDU, M., DURMAZ, M. E. (2022). Numerical solution of a singularly perturbed Fredholm integro differential equation with Robin boundary condition. Turkish Journal of Mathematics, Cilt: 46 - Sayı: 1, 207–224. https://ajindex.com/articles/607299

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References (4)

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