Implementasi Kalkulus Trigonometri pada Pemodelan dan Visualisasi Gelombang Stasioner Menggunakan Python
Keywords:
calculus application, standing waves, sinusoidal function, computational modeling, Python visualizationAbstract
This study explores the application of calculus concepts in computational modeling and visualization of standing waves in open and closed pipe systems. Standing wave phenomena are fundamental topics in wave physics and are closely related to sinusoidal functions commonly studied in calculus courses, particularly in Informatics education. However, the integration of calculus-based mathematical representations with computational visualization remains limited in undergraduate learning contexts. The objective of this research is to implement trigonometric calculus concepts in modeling sinusoidal standing waves and to visualize their behavior in open and closed pipes using Python-based computation. The research employs a quantitative computational approach, where mathematical wave equations derived from calculus principles are translated into numerical simulations. The study does not involve human participants; instead, data are generated from analytical wave functions and processed through computational visualization techniques using Python. The results demonstrate that the computational models successfully represent the characteristics of standing waves, including nodes and antinodes, in both open and closed pipe configurations. The visualizations clearly illustrate differences in wave patterns resulting from boundary conditions, confirming theoretical expectations from calculus-based wave equations. These findings indicate that computational modeling can effectively bridge abstract calculus concepts and observable physical phenomena. In conclusion, this study contributes a calculus-oriented computational framework that enhances conceptual understanding of standing waves through visualization. The novelty of this research lies in its explicit integration of trigonometric calculus concepts with computational simulation as a pedagogical approach in Informatics-oriented calculus learning.References
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Copyright (c) 2026 Roziana Fauzun, Rosyid R. Al-Hakim, Anggit Wirasto, Hadi Jayusman, Glagah E. Setyowisnu, Tri S. Famuji (Author)
This work is licensed under a Creative Commons Attribution 4.0 International License.
