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Dergiler / 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
Sayfa
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Yayın Tarihi
2024-02-27
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

This result is supported by an example.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this article, the solution of the second type of nonhomogeneous linear Fredholm integral equations is investigated using a three-step iteration algorithm.
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Temel Bulgular & Veri:It has been shown that the sequences obtained from this algorithm converge to the solution of the mentioned equations.
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Sonuç & Katkı:This result is supported by an example.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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