Numerical Analysis of Mathematical Modeling with the Bisection Method in Finding the Roots of Complex Functions
DOI:
https://doi.org/10.63876/ijss.v1i2.8Keywords:
mathematical modeling, bisection method, roots of complex functions, numerical analysisAbstract
Mathematical modeling using the bisection method for finding complex function roots is a significant topic in numerical analysis. This research has a significant background as it focuses on solving complex function root problems, which play a crucial role in various scientific and technological applications. The objective of this research is to develop an efficient and accurate bisection algorithm to address the challenges in finding complex function roots. The research methodology includes mathematical modeling, numerical analysis, and implementation using the Python programming language. The research results demonstrate that the bisection method can effectively and efficiently discover complex function roots. We also present a Python implementation that can serve as a practical tool in real-world applications. In conclusion, this research finds that the bisection method is highly valuable for discovering complex function roots, providing accurate results and good convergence properties. The contribution of this research to the field of science is the development of an algorithm that can be applied across various domains, including simulation techniques, data analysis, and modeling complex systems.
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Y. W. Patmonobo, “Klasifikasi Kondisi Pasien Serangan Jantung yang berujung Pada Aritmia Ventrikular Berdasarkan Dispersi QT Menggunakan Regresi Logistik,” J. UIN Syarif Hidayatullah, 2022.
N. Nursalam and F. Efendi, PENDIDIKAN DALAM KEPERAWATAN Nursalam Ferry Efendi ISBN : 978-979-3027-66-1, no. January 2008. 2014.
J. ’ Far Amirudin et al., “Perumusan Masalah Kebijakan,” J. Adm. Manaj. Pendidik., vol. 4, no. 1, pp. 25–43, 2021.
A. Z. Saluky, Dewi Anjani, “Aplication of Graph Coloring Techniques in Scheduling Exams With The Welch-Powell Algorithm,” OBJECTIVE, vol. 1, no. 2, pp. 9–14, 2022.
W. Dewobroto, “Direct Analysis Method ( AISC 2010 ),” no. Aisc 2010, pp. 1–41, 2014.
X. D. Crystallography, “PERBANDINGAN METODE NEWTON-RAPHSON DAN METODE JACOBIAN UNTUK SOLUSI SISTEM PERSAMAAN POLINOMIAL NONLINEAR BERDASARKAN JUMLAH ITERASI DAN GALAT TERKECIL,” pp. 1–23, 2016.
N. Ramsari and Z. Munawar, “Pengambilan Keputusan Dengan Teknik Soft Computing,” J. Ilm. Teknol. Infomasi Terap., vol. 2, no. 3, 2016, doi: 10.33197/jitter.vol2.iss3.2016.114.
H. Sirait, E. U. P. Simanihuruk, and R. Tambun, “Elemen Dasar dan Kharakteristik Membangun Sistem Pakar,” vol. 7, no. 1, pp. 1–16, 2023.
S. Sulartopo, S. Kholifah, D. Danang, and J. T. Santoso, “Transformasi Proyek Melalui Keajaiban Kecerdasan Buatan : Mengeksplorasi Potensi AI Dalam Project Management,” vol. 2, no. 2, 2023.
K. Kurniawati, “Analisis Regresi Logistik Multinomial dengan Peubah Dummy untuk mengetahui Faktor-Faktor yang mempengaruhi Mahasiswa Memilih Aplikasi Belanja Online,” pp. 1–23, 2020.
S. A. Fitriani and E. Widodo, “Peningkatan Kualitas Statistik Produk Secara Kontinu Dengan Metode Dmaic (Studi Kasus: Produksi Kayu Lapis),” Statistics.Uii.Ac.Id, 2017.
N. Insani, “Penerapan Metode Bagi-Dua ( Bisection ) pada Analisis Pulang-Pokok ( Break Even ),” Penelitian, Pendidikan, dan Penerapan MIPA serta Peranannya dalam Peningkatan Keprofesionalan Pendidik dan Tenaga Kependidikan, pp. 1–8, 2006.
Saluky, “Penerapan Aplikasi Mathematics Movie Terhadap Minat Belajar Matematika dan Kemampuan Analogi Responden,” Al Ibtida J. Pendidik. Guru MI, vol. 3, no. 1, 2016.
D. Bachrathy and G. Stépán, “Bisection method in higher dimensions and the efficiency number,” Period. Polytech. Mech. Eng., vol. 56, no. 2, pp. 81–86, 2012, doi: 10.3311/pp.me.2012-2.01.
A. M. Alviyaturrohmah, Saluky, “Pengaruh Penggunaan Media Pembelajaran Dengan Software Prezi Terhadap Minat Bilajar Matematika Siswa,” ITEj (Information Technol. Eng. Journals), vol. 2, no. 1, 2013.
M. I. Puling Tang, “Bisection Method and Falsi Regulation Method to Determine The Roots of Polynomial Equations,” J. Math. Theory Appl., vol. 5, no. 1, pp. 17–29, 2023, doi: 10.31605/jomta.v5i1.2029.
M. Sidiq, “Metode Numerik,” Informatika, no. September 2015, pp. 7–9, 2016, doi: 10.13140/RG.2.1.2109.7440.
N. B. Saluky, “Revolutionizing Education: Unlocking the Potential of Asynchronous Video for Interactive Online Learning,” Int. J. Educ. Humanit., vol. 3, no. 2, pp. 187–196, 2023.
X. D. Crystallography, “APLIKASI RESIDU UNTUK MENYELESAIKAN PERSAMAAN DIFERENSIAL CAUCHY - EULER ORDE-n,” pp. 1–23, 2016.
A. H. Dharmawan, “Sistem Penghidupan dan Nafkah Pedesaan: Pandangan Sosiologi Nafkah (Livelihood Sociology) Mazhab Barat dan Mazhab Bogor,” Sodality J. Sosiol. Pedesaan, vol. 1, no. 2, pp. 1–40, 2007, doi: 10.22500/sodality.v1i2.5932.
S. Aritonang, FISIKA MATEMATIKA : Kumpulan Soal Fisika Matematika Edisi 1, no. July. 2022.
J. A. Kosasih, “Penerapan Aljabar Geometri pada Rotasi Objek dalam Software Pemodelan 3 Dimensi,” 2015.
R. R. Tjandrawinata, “Raymond R. Tjandrawinata - 2017 - Industri 4.0 Revolusi Industri 4.0 Revolusi Industri Abad Ini Dan Pengaruhnya Pada Bidang Kesehatan Dan Bioteknologi,” Medicinus, vol. 29, no. 1, pp. 31–39, 2016, doi: 10.5281/zenodo.49404.
Y. M. Saluky, “A Review Learning Media Development Model,” Int. J. Technol. Model., vol. 1, no. 2, pp. 36–49, 2022.
A. M. Alviyaturrohmah, Saluky, “Pengaruh Penggunaan Media Pembelajaran Dengan Software Prezi Terhadap Minat Belajar Matematika Siswa,” ITEj (Information Technol. Eng. Journals), vol. 2, no. 1, pp. 11–18, 2017.
S. R. Saluky, Onwardono Rit Riyanto, “Digital Competence of Post-Pandemic Teachers Based on Gender, Work Period, and Certification Factors,” Eduma Math. Educ. Learn. Teach., vol. 11, no. 2, pp. 166–179, 2022.
Syafaruddin, “Studi Aliran Beban Berbasis Jaringan Syaraf Buatan.”
S. Soares, “PROCEDING NASIONAL TEKNOLOGI (SENATEK) 2015 ‘ Peningkatan Daya Saing Teknologi Nasional Menyongsong MEA 2015,’” vol. 151, pp. 10–17, 2015.
