AMALIAH: JURNAL PENGABDIAN KEPADA MASYARAKAT
Vol 10 No 1 (2026): Amaliah: Jurnal Pengabdian kepada Masyarakat

ANALISIS TINGKAT KETELITIAN METODE BISEKSI BERDASARKAN NILAI GALAT DALAM MENENTUKAN AKAR PERSAMAAN NONLINIER

Siti Khayroiyah (Pendidikan Matematika, Universitas Muslim Nusantara Al washliyah Medan)
Jelita Aprillia (Pendidikan Matematika, Universitas Muslim Nusantara Al washliyah Medan)
Risa Dwi Anggraini (Pendidikan Matematika, Universitas Muslim Nusantara Al washliyah Medan)
Windi Sintia Pratiwi (Pendidikan Matematika, Universitas Muslim Nusantara Al washliyah Medan)
Nur Amelia Kartika Nasution (Pendidikan Matematika, Universitas Muslim Nusantara Al washliyah Medan)
Fildzah Nurkhaira Adli (Pendidikan Matematika, Universitas Muslim Nusantara Al washliyah Medan)
Nora Anjana Sari Rangkuti (Pendidikan Matematika, Universitas Muslim Nusantara Al washliyah Medan)
Najwa Azzahra Lubis (Pendidikan Matematika, Universitas Muslim Nusantara Al washliyah Medan)
Nabila Azzahra (Pendidikan Matematika, Universitas Muslim Nusantara Al washliyah Medan)
Ariansyah Putra Siregar (Pendidikan Matematika, Universitas Muslim Nusantara Al washliyah Medan)



Article Info

Publish Date
28 Jun 2026

Abstract

This study aims to analyze the accuracy level of the bisection method in determining the roots of nonlinear equations based on the error values obtained in each iteration. The background of this research is the difficulty of obtaining exact solutions for nonlinear equations, so numerical methods are requmetired as an alternative approach. The method used in this study is a descriptive quantitative approach by performing systematic calculations through an iterative process. The object of this research is a nonlinear function with an initial interval of , which satisfies the condition for the existence of a root, indicated by a sign change of the function at the interval boundaries. The solution process is carried out using the bisection method by repeatedly dividing the interval until an approximate value close to the actual root is obtained. In each iteration, the midpoint value and error value are calculated to measure the accuracy level of the method. The results show that the approximate root obtained is . The error value decreases consistently as the number of iterations increases, indicating that the bisection method has a stable convergence property.

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Journal Info

Abbrev

AJPKM

Publisher

Subject

Description

Amaliah: Jurnal Pengabdian Kepada Masyarakat (Indonesian Journal of Community Engagement), with registered number ISSN 2580-0337 (print), ISSN 2580-0531 (online) is a scientific multidisciplinary journal published by LP2M Universitas Muslim Nusantara Al Washliyah. It is in the national level that ...