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Journals / Sigma Journal of Engineering and Natural Sciences / 2026 / Volume: 42 Issue: 1

Solutions of linear Fredholm integral equations with the three-step iteration method

Lale Cona(Department of Mathematical Engineering, Gumushane University, Gumushane, 29000, Türkiye)0000-0002-2744-1960
Kadir Şengül(Department of Mathematical Engineering, Gumushane University, Gumushane, 29000, Türkiye)0000-0003-2432-5267
Pages
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Publication Date
2024-02-27
DOI
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AI Summary & Key Takeaways

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

This result is supported by an example.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this article, the solution of the second type of nonhomogeneous linear Fredholm integral equations is investigated using a three-step iteration algorithm.
📊
Key Findings & Data:It has been shown that the sequences obtained from this algorithm converge to the solution of the mentioned equations.
💡
Conclusion & Impact:This result is supported by an example.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Banach Fixed Point Theorem · Data Dependency · Fredholm Integral Equations

Abstract

In this article, the solution of the second type of nonhomogeneous linear Fredholm integral equations is investigated using a three-step iteration algorithm. It has been shown that the sequences obtained from this algorithm converge to the solution of the mentioned equations. Morever, data dependency is obtained for the second type of nonhomogeneous linear Fred-holm integral equations. This result is supported by an example.

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Cite This Article

Cona, L., Şengül, K. (2024). Solutions of linear Fredholm integral equations with the three-step iteration method. Sigma Journal of Engineering and Natural Sciences, Volume: 42 Issue: 1. https://ajindex.com/articles/1632337

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