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Journals / Türk Doğa ve Fen Dergisi / 2026 / Cilt: 14 Sayı: 2

Two Approaches For Solving Nonlinear Equation Systems: Newton Raphson and Red Fox

Bayram Köse(İZMİR BAKIRÇAY ÜNİVERSİTESİ)0000-0003-0256-5921
Bahar Demirtürk(İZMİR BAKIRÇAY ÜNİVERSİTESİ)0000-0002-5911-5190
Şükran Konca(İZMİR BAKIRÇAY ÜNİVERSİTESİ)0000-0003-4019-958X
Pages
1–10
Publication Date
2025-06-27
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AI Summary & Key Takeaways

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

In this study, the results obtained by using the Red Fox method, a new metaheuristic optimization method, and the Newton Raphson method, which is one of the numerical methods, in finding the solutions of nonlinear systems of equations, are compared and these comparative analyses are evaluated and recommendations are presented.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, the results obtained by using the Red Fox method, a new metaheuristic optimization method, and the Newton Raphson method, which is one of the numerical methods, in finding the solutions of nonlinear systems of equations, are compared and these comparative analyses are evaluated and recommendations are presented.
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Key Findings & Data:In this study, the results obtained by using the Red Fox method, a new metaheuristic optimization method, and the Newton Raphson method, which is one of the numerical methods, in finding the solutions of nonlinear systems of equations, are compared and these comparative analyses are evaluated and recommendations are presented.
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Conclusion & Impact:In this study, the results obtained by using the Red Fox method, a new metaheuristic optimization method, and the Newton Raphson method, which is one of the numerical methods, in finding the solutions of nonlinear systems of equations, are compared and these comparative analyses are evaluated and recommendations are presented.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Root finding · Optimization algorithms · Newton-Raphson algorithm

Abstract

In this study, the results obtained by using the Red Fox method, a new metaheuristic optimization method, and the Newton Raphson method, which is one of the numerical methods, in finding the solutions of nonlinear systems of equations, are compared and these comparative analyses are evaluated and recommendations are presented.

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Cite This Article

Köse, B., Demirtürk, B., Konca, Ş. (2025). Two Approaches For Solving Nonlinear Equation Systems: Newton Raphson and Red Fox. Türk Doğa ve Fen Dergisi, Cilt: 14 Sayı: 2, 1–10. https://doi.org/10.46810/tdfd.1570735

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