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Ummu Habibah, Ummu
Alumni Fakultas Ekonomi Universitas 17 agustus 1945 Surabaya
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Journal : Science and Technology Indonesia

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An Improved Fifth-Order Runge-Kutta Method with Higher Accuracy and Efficiency for Solving Initial Value Problems Habibah, Ummu; Medrano, Fermin Franco; Permana, Adith Chandra; Ardiana, Dita; Trisilowati
Science and Technology Indonesia Vol. 10 No. 3 (2025): July
Publisher : Research Center of Inorganic Materials and Coordination Complexes, FMIPA Universitas Sriwijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26554/sti.2025.10.3.802-816

Abstract

Solving initial value problems (IVPs) in ordinary differential equations (ODEs) often requires numerical methods, with the fifth-order Runge-Kutta method being a widely used approach due to its balance between accuracy and computational efficiency. A novel and straight forward formula for the fifth order Runge-Kutta method is proposed, aiming to simplify calculations while maintaining high accuracy and stability. The method is derived using an optimized Taylor series expansion, leading to a more efficient formulation. Numerical experiments are conducted to compare the proposed method with existing fifth-order Runge-Kutta methods. The results showthat the proposed formula out performs existing methods in terms of accuracy, stability, and computational efficiency. This new formula provides a practical alternative for solving IVPs in ODEs with improved performance.
Co-Authors Achmad Fauzi anasya, rayza disa Angelin, Sheva Ardiana, Dita Azhar, Ahmad Nabil Azhari, Zikro Muhammad Azzizah, Nur Bachtiar, Ryko Muhammad CAHYATI, MIA Darmanto, Arief Gunawan Edy Rizal Wahyudi Ekawati, Rara Farozi, Farozi Fatun Febriyana, Frida Florence Pribadi Gultom, Coan Aje Wardhana Herlin, Dhiya Dwi Putri Hermawan, Dinda Ramadanti Islam, Muhammad Thoriqul Kamelia, Sania Lilia Indriani Luke, Kevin Maftukhin Maftukhin Mardhika, Della Medrano, Fermin Franco Mona Dewi Utari Muallimah, Annida Mubina, Sita Nur Fathan mufida, farhanan atsana Mulya Lezani, Nadine Murdani Abdullah NADIA, ANIS Naffa, Fityatun Nia Desriva Nisa, Umi Sofiatun Novitasari, Dwiana Noviyanti, Lusi Nur Hamidah, Nur nurdini, rini Nurkamila, Siti Nurkarimah, Dwi Pane, Vina Vicolya Octavia Patrisia, Cindi Permana, Adith Chandra Pratiwi, Ashfi Pri Andini, Sisca Putri, Debi Rossa Rachman, Alifira Meliana Renowati, Renowati Sabela, Afina Sal Safitri, Novita Aulia Salsabila, Yelza Saputra, Ridho Egi Adi Sari, Della Ayu Puspita Sarifudin sarifudin, Sarifudin SEPTIANI, AMANDA DWI Setiawan, Adinda Setiawan, Dhani Shofiyya, Nada Sidik, Anwar Siregar, Siti Halimah Boru Siti Halidjah Siti Zubaidah Su miati, Su Sucahyo, Yoselyn Sugiyono . Suhardi, Muhamad Sukamto Koesnoe Susilo Surahman SYAHITA, ORIN Tambuang, Christ Trisilowati Umu Salamah Widiyah, Jani Widyaningsih, Susi Wiraputri, Arini Wuryasari Muharini Kusumawinahyu Yanti, Perdani