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Journals / Ikonion Journal of Mathematics / 2023 / Volume: 5 Issue: 2

On Data Dependency and Solutions of Nonlinear Fredholm Integral Equations with the Three-Step Iteration Method

Lale Cona(Gümüşhane Üniversitesi Mühendislik Fakültesi Matematik Bölümü)
Kadir Şengül(GÜMÜŞHANE ÜNİVERSİTESİ)0000-0003-2432-5267
Pages
—
Publication Date
2023-11-20
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AI Summary & Key Takeaways

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

Also, data dependency is obtained for the second type of homogeneous nonlinear Fredholm integral equations and this result is supported by an example.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, the solution of the second type of homogeneous nonlinear Fredholm integral equations is investigated using a three-step iteration algorithm.
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Key Findings & Data:In other words, it has been shown that the sequences obtained from this algorithm converge to the solution of the mentioned equations.
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Conclusion & Impact:Also, data dependency is obtained for the second type of homogeneous nonlinear Fredholm integral equations and this result is supported by an example.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Banach Fixed Point Theorem · Nonlinear Fredholm Integral Equations · Three-Step Iteration Method

Abstract

In this study, the solution of the second type of homogeneous nonlinear Fredholm integral equations is investigated using a three-step iteration algorithm. In other words, it has been shown that the sequences obtained from this algorithm converge to the solution of the mentioned equations. Also, data dependency is obtained for the second type of homogeneous nonlinear Fredholm integral equations and this result is supported by an example.

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Cite This Article

Cona, L., Şengül, K. (2023). On Data Dependency and Solutions of Nonlinear Fredholm Integral Equations with the Three-Step Iteration Method. Ikonion Journal of Mathematics, Volume: 5 Issue: 2. https://doi.org/10.54286/ikjm.1303219

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