Analisis Galat Energi dan Galat Fase Metode Forward 4th Order Symplectic Chin-Chen untuk Kasus Sistem Osilator Harmonik Sederhana
DOI:
https://doi.org/10.26418/positron.v10i2.40023Keywords:
F4OS-CC, galat energi, galat fase, Runge-Kutta orde 4Abstract
Penelitian ini meninjau galat energi dan galat fase dari metode forward 4th order symplectic Chin-Chen (F4OS-CC) untuk kasus sistem osilator harmonik sederhana. Metode F4OS-CC merupakan suatu integrator yang bersifat symplectic dan time-reversible tanpa menggunakan selang waktu negatif. Simulasi osilasi harmonik sederhana dengan metode integrasi F4OS-CC dan metode Leapfrog menghasilkan galat energi terikat (tidak memiliki rambatan linier). Akan tetapi, metode F4OS-CC memiliki galat fase yang lebih besar jika dibandingkan dengan metode non-symplectic orde sama (metode Runge-Kutta orde 4). Galat fase dapat dikurangi dengan menggunakan selang waktu variabel yang bergantung terhadap posisi. Tetapi, rambatan galat energi menjadi meningkat secara linier.References
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