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All Journal Jurnal Gantang Jurnal Penelitian Pendidikan IPA (JPPIPA) Jurnal Riset Fisika Indonesia Time in Physics: Journal for Theoretical, Instrumentation, Material-Molecular, and Education Physics Indonesian Journal of Electronics, Electromedical Engineering, and Medical Informatics
Nurizati Nurizati
Department of Physics, Faculty of Mathematics and Natural Sciences, Bogor Agricultural University Indonesia
Agriculture, Biological Sciences & Forestry Astronomy Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Earth & Planetary Sciences Education Electrical & Electronics Engineering Health Professions Materials Science & Nanotechnology Mathematics Physics

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A Computational Study of Numerical Integration in Physics Applications Using Trapezoidal and Simpson's Methods Suhendra, Muhamad Agung; Assegaf, Sufiyah; Robiyana, Iqbal; Nurizati
TIME in Physics Vol. 2 No. 2 (2024): September
Publisher : Universitas Mandiri

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11594/timeinphys.2024.v2i2p85-95

Abstract

This research conducts a comprehensive evaluation of the efficiency and accuracy of two widely-used numerical integration methods, the Trapezoidal Rule and Simpson's Rule, within the context of solving physics-related problems. The study focuses on four representative cases: the calculation of kinetic energy, the determination of electric field strength, the work done by an ideal gas, and the gravitational potential energy. The performance of these methods is analyzed through key metrics such as convergence behavior, error magnitude, and computational time. The findings reveal that Simpson's Rule consistently delivers higher accuracy compared to the Trapezoidal Rule, especially for functions exhibiting non-linear characteristics. This highlights Simpson's Rule as a preferred method for complex physical problems, while the Trapezoidal Rule remains effective for simpler cases requiring lower computational overhead.
Co-Authors Adelia, Marvina Ambarita, Nova Indah Amri, M. Faizal Assegaf, Sufiyah Candraningtyas, Rara Fachry Abda El Rahman Harahap, Dwi Fajri Hasanah Iqbal Robiyana Kurnia Rahmawati, Kurnia Muhamad Agung Suhendra Permono Adi Putro Sanadia, Sanadia Suhendra, Muhamad Agung Sulaeman, Ahmad Sofyan Sumardi, Tedi Tedi Sumardi Usep Tatang Suryadi, Usep Tatang