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All Journal Jurnal Pengabdian Masyarakat Sains dan Teknologi Bilangan: Jurnal Ilmiah Matematika, Kebumian dan Angkasa
Syabila Amalia Wardani
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Agriculture, Biological Sciences & Forestry Astronomy Computer Science & IT Education Mathematics Social Sciences Other

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Pemanfaatan MATLAB dalam Analisis Turunan Parsial : Visualisasi dan Implementasi Fungsi Multivariat Nazwa Pahira Dongoran; Asri Cahyati Sitorus Pane; Syabila Amalia Wardani
Jurnal Pengabdian Masyarakat Sains dan Teknologi Vol. 3 No. 4 (2024): Desember : Jurnal Pengabdian Masyarakat Sains dan Teknologi
Publisher : Fakultas Teknik Universitas Cenderawasih

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58169/jpmsaintek.v3i4.638

Abstract

Turunan parsial is one of the fundamental concepts in multivariate calculus that has many applications, such as optimization, data analysis, and mathematical modeling. Understanding theory is often difficult, especially when there is no visual aid. This article discusses the use of MATLAB as a powerful tool for parsial analysis and visualization. Through the use of 3D charting and symbolic computing features, MATLAB facilitates multivariate function analysis. Research on the function f(x,y)=x^2+y^2+xy shows how parsial turunan is observed and visualized in an interactive manner. This article's goal is to encourage the use of MATLAB in long-term math education and research.
Implementasi Metode Runge-Kutta dalam Simulasi Lintasan Peluru pada Medan Gravitasi Bumi Vena Yurinda Saragih; Giovani Br Surbakti; Nia Elovani Br Munthe; Syabila Amalia Wardani
Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa Vol. 2 No. 5 (2024): Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/bilangan.v2i5.272

Abstract

This study examines the implementation of the fourth-order Runge-Kutta method in simulating bullet trajectories in the Earth's gravitational field. Bullet trajectory simulation is important in various fields such as ballistics and engineering, where the accuracy of predicting the trajectory of a moving object is crucial. The introduction explains the importance of using numerical methods in solving complex equations of motion, considering that analytical solutions are often inadequate. The purpose of this study is to apply the Runge-Kutta method to solve nonlinear differential equations describing the motion of a bullet under the influence of gravity. The research methods include modeling the motion system using Newton's laws and applying the Runge-Kutta method to predict the trajectory based on initial conditions such as velocity and firing angle. The simulation results show that the Runge-Kutta method provides accurate predictions of bullet trajectories, with low relative errors compared to other numerical methods. In conclusion, this method is effective and efficient in simulating bullet trajectories, providing reliable results in practical applications.
Co-Authors Asri Cahyati Sitorus Pane Giovani Br Surbakti Nazwa Pahira Dongoran Nia Elovani Br Munthe Vena Yurinda Saragih