Araştırma Makalesi

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

Cilt: 14 Sayı: 2 27 Haziran 2025
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EN

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

Öz

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.

Anahtar Kelimeler

Kaynakça

  1. Victor YP. Root-Finding and Root-Refining for a Polynomial Equation. Computer Science Technical Reports: City University of New York (CUNY); 2012.
  2. Millidere M, Karaman U, Uslu S, Kasnakoğlu C, Çimen T. Newton Raphson methods in aircraft trim: A comparative study. In: AIAA AVIATION 2020 Forum. American Institute of Aeronautics and Astronautics; 2020. p. 3198.
  3. Gower R, Lorenz DA, Winkler M. A Bregman–Kaczmarz method for nonlinear systems of equations. Comput Optim Appl. 2023;87(3):1059–1098.
  4. Pourrajabian A, Ebrahimi R, Mirzaei M, Shams M. Applying genetic algorithms for solving nonlinear algebraic equations. Appl Math Comput. 2013;219(24):11483–11494.
  5. Kotsireas IS, Pardalos PM, Semenov A, Trevena WT, Vrahatis MN. Survey of methods for solving systems of nonlinear equations, Part II: Optimization based approaches. arXiv. 2022. Available from: https://arxiv.org/abs/2208.08532
  6. Odan S. Metaheuristic method for solving systems of equations. arXiv. 2024. Available from: https://arxiv.org/abs/2409.16958
  7. Verma P, Parouha RP. Solving systems of nonlinear equations using an innovative hybrid algorithm. Iranian J Sci Technol Trans Electr Eng. 2022; 46:1005–1027.
  8. Chapra RP, Canale SC. Numerical Methods for Engineers. New York: McGraw-Hill Higher Education; 2002.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematiksel Fizikte Cebirsel Yapılar, Matematiksel Fizik (Diğer)

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

27 Haziran 2025

Gönderilme Tarihi

20 Ekim 2024

Kabul Tarihi

27 Şubat 2025

Yayımlandığı Sayı

Yıl 2025 Cilt: 14 Sayı: 2

Kaynak Göster

APA
Köse, B., Demirtürk, B., & Konca, Ş. (2025). Two Approaches For Solving Nonlinear Equation Systems: Newton Raphson and Red Fox. Turkish Journal of Nature and Science, 14(2), 1-10. https://doi.org/10.46810/tdfd.1570735
AMA
1.Köse B, Demirtürk B, Konca Ş. Two Approaches For Solving Nonlinear Equation Systems: Newton Raphson and Red Fox. TDFD. 2025;14(2):1-10. doi:10.46810/tdfd.1570735
Chicago
Köse, Bayram, Bahar Demirtürk, ve Şükran Konca. 2025. “Two Approaches For Solving Nonlinear Equation Systems: Newton Raphson and Red Fox”. Turkish Journal of Nature and Science 14 (2): 1-10. https://doi.org/10.46810/tdfd.1570735.
EndNote
Köse B, Demirtürk B, Konca Ş (01 Haziran 2025) Two Approaches For Solving Nonlinear Equation Systems: Newton Raphson and Red Fox. Turkish Journal of Nature and Science 14 2 1–10.
IEEE
[1]B. Köse, B. Demirtürk, ve Ş. Konca, “Two Approaches For Solving Nonlinear Equation Systems: Newton Raphson and Red Fox”, TDFD, c. 14, sy 2, ss. 1–10, Haz. 2025, doi: 10.46810/tdfd.1570735.
ISNAD
Köse, Bayram - Demirtürk, Bahar - Konca, Şükran. “Two Approaches For Solving Nonlinear Equation Systems: Newton Raphson and Red Fox”. Turkish Journal of Nature and Science 14/2 (01 Haziran 2025): 1-10. https://doi.org/10.46810/tdfd.1570735.
JAMA
1.Köse B, Demirtürk B, Konca Ş. Two Approaches For Solving Nonlinear Equation Systems: Newton Raphson and Red Fox. TDFD. 2025;14:1–10.
MLA
Köse, Bayram, vd. “Two Approaches For Solving Nonlinear Equation Systems: Newton Raphson and Red Fox”. Turkish Journal of Nature and Science, c. 14, sy 2, Haziran 2025, ss. 1-10, doi:10.46810/tdfd.1570735.
Vancouver
1.Bayram Köse, Bahar Demirtürk, Şükran Konca. Two Approaches For Solving Nonlinear Equation Systems: Newton Raphson and Red Fox. TDFD. 01 Haziran 2025;14(2):1-10. doi:10.46810/tdfd.1570735