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

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.

Authors

Bayram Köse (ORCID: https://orcid.org/0000-0003-0256-5921)
Şükran Konca (ORCID: https://orcid.org/0000-0003-4019-958X)
Bahar Demirtürk (ORCID: https://orcid.org/0000-0002-5911-5190)

Institutions

Izmir University (TR)
Bakırçay Üniversitesi

Publication Details

Journal: Türk doğa ve fen dergisi :/Türk doğa ve fen dergisi
Published: 2025-06-27
DOI: https://doi.org/10.46810/tdfd.1570735
Citations: 1
Primary Topic: Iterative Methods for Nonlinear Equations
Type: article
Field-Weighted Citation Impact: 2.63

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article

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

Bayram Köse, Şükran Konca, Bahar Demirtürk

Jun 27, 2025

1 citations

Türk doğa ve fen dergisi :/Türk doğa ve fen dergisi

Iterative Methods for Nonlinear Equations

2.63

article

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

Bayram Köse, Şükran Konca, Bahar Demirtürk

June 27, 2025article en

1 citations

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.

Türk doğa ve fen dergisi :/Türk doğa ve fen dergisiVol. 14(2)

Izmir University (TR), Bakırçay Üniversitesi

Openalex Percentile: Top 12%

Iterative Methods for Nonlinear Equations

2.63

DOI Open Access PDF OpenAlex

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