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Ari Wibowo
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Journal : JURNAL DERIVAT: JURNAL MATEMATIKA DAN PENDIDIKAN MATEMATIKA

 1 
Penyelesaian Persamaan Non Linear Dengan Metode Bagi Dua dan Posisi Palsu Menggunakan Excel Dan Matlab Utami Fitriani; Salsabilla Ahadiyyah; Ari Wibowo
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 12 No. 2 (2025): Jurnal Derivat (Agustus 2025)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31316/j.derivat.v12i2.7772

Abstract

This study aims to compare and evaluate the effectiveness of the Bisection Method and the False Position Method in solving non-linear equations using Excel and MATLAB software. Through literature studies and practical implementations, this study analyzes the characteristics of each method. Evaluations are carried out on the convergence, accuracy, and computational efficiency of both methods on both platforms. A case study of the non-linear equation x = 2x2 + 3x - 5 is solved by both methods in Excel and MATLAB. Based on the numerical method applied, the approximate roots for the non-linear equation are obtained. The results show that the Bisection Method produces the root of x = 0.999878 after 15 iterations, while the False Position Method provides faster convergence results by producing higher accuracy, namely producing the root of x = 0.999940 in only 10 iterations with an error tolerance of 0.0001. The implementation in Excel is done by compiling an iteration table, while MATLAB automates the iteration process. Thus, the False Position Method is superior in convergence speed compared to the Bisection Method. This study provides comprehensive insights into the application of numerical methods in solving non-linear equations and the factors that influence the performance of the methods in different computing environments.  Keywords: Bisection Method, False Position Methot, Non-Linear Equations, Excel, Matlab
Co-Authors Abner Onesimus Sijabat Abulija Maskarai Acep Muhammad Rizki Achfas Zacoeb Achmad Wicaksono Achmad Zaim Ismail Ade Okta Viani Adelia Fatin Faadihilah Adhe Aryswan Adi Sanjaya Putra Agriva Amelia S Agus Riehwanto Aidatu Fauziah Aina Ul Mardiyah Ray Ajat Sudrajat Akhmat Rizkuna Aldini Rizky Santoso Alfian Helmi Ali Usman Amelia Kusuma Angela Angela Anhar Faisal Fanani Aninda Afifah Nur Azizah Anindyasari, Dinar Anis Rahmi Anjaningrum, Widiya Dewi Anna Zalfah Nurullail Annisa Fyona Anton Setiawan Honggowibowo Ardha Marcelita Ragil Putranti Ari Ajibekti Masriwilaga Arif Roziqin Arif Wahyu Budiarto Aristika, Bella Arya Surendra Aryanto, Sani Asrafi Asrafi Astria, Winda Budiharti Budiharti Bunga Aulianesia Cahyo Budi Nugroho Chintya Aulia Khoirunisa Christian Remayanti Nainggolan Christin Remayanti Christin Remayanti Nainggolan Cicilia Puji Rahayu Cori Qamara Cynthiagustin Cahya Kartika Dahlan Susilo Dede Aprylasari Desy Setyowulan Dian Susanto Domi Kamsyah Dwi Kartikasari Dwi Rosalina Dwiki Novri Ditya Edhi Wahyuni S. Eko Perianto Eri Cahyani Eva Arifi Fajar Dwi Nuryanto Fajrih, Nurul Fandini Meilia Anjani Fandini Melia Anjani Faselsakti Ifolala Johanes Laia Fauzi, Naufal Rafizakwan Fauzun Atabiq Febri Ardiyanto Fedia Restu Firdhaus Hari Saputro Al Haris Flora Suryani Frandika Antonius Saputra Fransiska Pindan Sao Ganesha Aryadi Hanifah Widiastuti Hendrawan, Bambang Henry Aditia Rigianti Heri Rustamaji Hidayat, Ahmad Rafli I Gusti Ayu K. R. H I Putu Gede Didik Widiarta Ihsan Saputra Imas Ayu Salamah indah lestari vidyahayati Indradi Wijatmiko Irfawandi Samad Irwanto Zarma Putra Isnaini Qoiriyah James Siregar Jehezkiel Dyero Karenina Dwi Yulianti Kartika Kartika Kartika Sari Kelvin Ariesryo Kiki Insani Sholihah Kolose Albert Hutapea Lalu Mulyadi Ludfi Djakfar Luthfiya Ratna Sari M. Abdul Kholiq M. Taufik Hidayat Mahrus Ali Makin Makin Maranatha Lasandy Winangun Marilyn Lasarus Marley Kristianto Marturia Surya Yuliyanti Meida Perwira Antartika Metta Santiputri Mimi Salminah Mir’atul Khusna Mufida Mohamad Dwi Junianto Muh Haris Muh. Ichsan Haris Muhamad Rian Sances Muhammad Ainur Rofiq Muhammad Andi Nova Muhammad Hasby Muhammad Iqbal Fasa Muhammad Ismail Muhammad Kurniawan Dwi Septyan Muhammad Nurhidayat Muhammad Ridho Ramadhan Muhammad Syafei Gozali Muhammad Zainuddin Lubis Najli Sembada S Natalia Vin Kristin Natarina, Lilia Mey Naufal A Prasetyo Neta, Fandy Novebriantika, Novebriantika Novemia Fatmarischa Novrilia Atika Nabila Nugroho Pratomo Ariyanto Nur Cahyono Kushardianto Nur Saifiyati Buldani Nur Vera Nur Zahrati Janah Nurliani Erni Nurmadinah Jasman Nurman Pamungkas Nurmin Arianto Nursalim Nursalim Nurul Fajrih H Nurul Laili Arifin Nurul Laili Arifin Nurwijayanti Oktavianto Gustin Panisa Marliana Puguh Ardianto Iskandar Puthut Alfian Akbar R Arie Febrianto Rahmad Hari Purnomo Rahman Hakim Raja Muhammad Isnu Prayoga Randy Saputra Retno Anggraini Retno Anggraini Retno Anggraini , Ari Wibowo Rimawati, Elistya Rinaldi, Ferdian Rivki Ryan Nugraha Rizki Claudia Wardani H Rizki Widi Pratama Rizky Pratama Hudhajanto Robby Robby Rokhayati, Yeni Ryan Fani Saiful Akhyar Lubis Salsabilla Ahadiyyah Satriya Bayu Aji Siahaan, Johannes Hasiholan Simanjuntak, Servis Sinarti, Sinarti Sinurat, Fransisco Yohanes Siti Maghfiroh Siti Nurlina Sri Winarni Stefanus Eko Prasetyo Sudibyo, Doni Sudra Irawan Sugeng Prayitno Suhardi Suhardi Suhardi Supriyana Nugraha SURYATI GALUH PRAVITASARI Syilvi Marsela diastami Taufik Agung Pranowo Taufik Langgeng Ardiansyah Tekad Urip Pambudi Sujarnoko Ully Tri Ellen Mahulae Umroh Umroh Utami Fitriani Uuf Brajawidagda V. Rizke Ciptaningtyas Viqi Velian Suhartawan Wa Riani Hatam Wawan Laksito Yuly Saptomo Wenang Anurogo Wissesa Wowo Rossbandrio Yanti Wattimury Yayan Sudaryana Yogantara Yogantara Yohanes Darmawan Lintong Yuli Astuti Yumna Kusuma Shafira