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All Journal Interval: Indonesian Journal of Mathematical Education
Ismuniyarto, Ismuniyarto
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Education Mathematics

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A Numerical Study of Bracketing Root-Finding Methods for Nonlinear Equations: Applications to Break-Even Point Determination Ismuniyarto, Ismuniyarto; Pinheiro, David; Sokhna, El Hadji Lamine
Interval: Indonesian Journal of Mathematical Education Vol. 3 No. 2 (2025): December
Publisher : Cahaya Ilmu Cendekia Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37251/ijome.v3i2.2782

Abstract

Purpose of the study: The purpose of this study is to compare the results of the Bisection Method, the Regula Falsi Method and the Secant Method in completing Break Even analysis. Methodology: The research method used is an applied method. The research location is the library of Alauddin State Islamic University, Makassar. The research procedure used by the researcher is to compare the results of the Bisection Method, the Regula Falsi Method, and the Secant Method in solving Break-Even Analysis. Main Findings: The results show that the secant method is an efficient method for conducting break-even analysis. This is demonstrated by the error value obtained at the end of the iteration process, which shows the smallest error value. In other experiments, the secant method also showed fewer iterations than other methods. Novelty/Originality of this study: This research can be used as reference material for readers who want to compare the bisection method and the falsi-regularization method. Furthermore, the researchers use the results as a means of evaluating the ability to apply theories in numerical courses.
Co-Authors Pinheiro, David Sokhna, El Hadji Lamine