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All Journal Jurnal Pengabdian Masyarakat Sains dan Teknologi Algoritma: Jurnal Matematika, Ilmu Pengetahuan Alam, Kebumian dan Angkasa
Asri Cahyati Sitorus Pane
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Agriculture, Biological Sciences & Forestry Computer Science & IT Earth & Planetary Sciences 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.
Penerapan Metode Runge-Kutta Orde 3 Untuk Penyelesaian Persamaan Diferensial Biasa : Studi Kasus di Matlab Asri cahyati sitorus pane; Novaria Br. Saragih; Jadata Dompak Ambarita
Algoritma : Jurnal Matematika, Ilmu pengetahuan Alam, Kebumian dan Angkasa Vol. 2 No. 6 (2024): Algoritma : Jurnal Matematika, Ilmu pengetahuan Alam, Kebumian dan Angkasa
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/algoritma.v2i6.263

Abstract

This research studies the application of the nth order Runge-kutta method as a numerical solution to ordinary differential equations. This method was chosen because it is able to provide high accuracy and flexibility in various PDB problems. We implement the nth-order Runge-Kutta algorithm in MATLAB and compare with other numerical methods, such as Euler's method. The results show that the nth order Runge-Kutta method is able to produce more accurate solutions, especially for nonlinear systems. This research makes a significant contribution to the development of numerical solutions for PDB and shows the potential of MATLAB as an effective tool for numerical simulation. Sensitivity analyzes of parameters and time steps were also performed to understand the impact of variations on stability and convergence.
Co-Authors Jadata Dompak Ambarita Nazwa Pahira Dongoran Novaria Br. Saragih Syabila Amalia Wardani