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Journals / Journal of Amasya University the Institute of Sciences and Technology / 2024 / Volume: 5 Issue: 2

An efficient method for solving Schlömilch-type integral equations

Ahmet Altürk(AMASYA UNIVERSITY)0000-0002-5220-0608
Pages
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Publication Date
2024-12-31
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AI Summary & Key Takeaways

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

To demonstrate the efficiency and simplicity of the proposed algorithm, we also present some extensions that enable the solution of important application-related problems.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Schlömilch integral equations have many applications in terrestrial physics and serve as useful tools for various ionospheric problems.
📊
Key Findings & Data:Recently, researchers have investigated Schlömilch-type integral equations.
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Conclusion & Impact:To demonstrate the efficiency and simplicity of the proposed algorithm, we also present some extensions that enable the solution of important application-related problems.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fredholm integral equations · homotopy · perturbation theory

Abstract

Schlömilch integral equations have many applications in terrestrial physics and serve as useful tools for various ionospheric problems. Recently, researchers have investigated Schlömilch-type integral equations. Unlike Schlömilch integral equations, there are only a few works in the literature that discuss the classification and solution methods for Schlömilch -type equations. In this study, we mainly focus on introducing an efficient method based on a modified homotopy approach for solving certain Schlömilch-type equations. To demonstrate the efficiency and simplicity of the proposed algorithm, we also present some extensions that enable the solution of important application-related problems.

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Cite This Article

Altürk, A. (2024). An efficient method for solving Schlömilch-type integral equations. Journal of Amasya University the Institute of Sciences and Technology, Volume: 5 Issue: 2. https://doi.org/10.54559/jauist.1580693

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