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All Journal Physics Student Journal Jukung (Jurnal Teknik Lingkungan) SELAPARANG: Jurnal Pengabdian Masyarakat Berkemajuan KONSTAN - JURNAL FISIKA DAN PENDIDIKAN FISIKA Jurnal Pengabdian Magister Pendidikan IPA EIGEN MATHEMATICS JOURNAL Prisma Sains: Jurnal Pengkajian Ilmu dan Pembelajaran Matematika dan IPA IKIP Mataram Jurnal Pepadu Wahana Fisika : Jurnal Fisika dan Terapannya
Lalu Sahrul Hudha
Program Studi Fisika, FMIPA, Universitas Mataram
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Journal : EIGEN MATHEMATICS JOURNAL

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Solution of The Duffing Equation Using Exponential Time Differencing Method Illahi, Ramadian Ridho; Marzuki, Marzuki; Hudha, Lalu Sahrul
Eigen Mathematics Journal Vol 7 No 1 (2024): June
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v7i1.195

Abstract

To describe the spring stiffening effect that occurs in physics and engineering problems, Georg Duffing added the cubic stiffness term to the linear harmonic oscillator equation and is now known as the Duffing oscillator. Despite its simplicity, its dynamic behavior is very diverse. In this research, the Exponential Time Difference method is introduced to solve the Duffing oscillator numerically. To formulate the ETD method, we were using the integration factors. It is a function which, when multiplied by an ordinary differential equation, produces a differential equation that can be integrated. This method is an effective numerical method for solving complex differential equations, especially equations that have strong non-linearity The ETD method delivers highly accurate numerical solutions for the Duffing oscillator, with minimal discrepancy from the analytical results. Through parameter variation, the ETD method's applicability extends to diverse Duffing oscillator configurations.
Co-Authors Alfina Taurida Alaydrus Arif Budianto Azhari, Mohammad Rasyidi Bunawas Bunawas Bunawas Bunawas Dian Wijaya Kurniawidi Didik Rahadi Santosa Ernita, Nevi Fajriyah, Putri Arifatul Halil Akhyar Hiden I Wayan Sudiarta Intan Utami Jamiluddin, Jamiluddin Kurniawidi, Dian W. Kurniawidi, Dian Wijaya Laili Mardiana M, I Wayan Ari Marzuki Marzuki Marzuki Marzuki Masruroh MASRUROH Muhamad Ali Nur Khasanah Nur Khasanah NURUL QOMARIYAH Nurul Qomariyah Putraji, L.M. Guguh Putraji, Lalu M. Guguh Rahadi Wirawan Ramadian Ridho Illahi Reza Alfian Rinarto Subroto Setyawan Purnomo Sakti Setyawan Sakti Suhayat Minardi Susi Rahayu Syamsuddin Syamsuddin Teguh Ardianto, Teguh Wirawan, Rahadi Wirawan, Rahadi