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Journal : Journal of Science and Technology

Hampiran Solusi Persamaan Gelombang Dua Dimensi Dengan Pendekatan Finite Difference Syafii, Mohamad; Alghazali, Muhammad Rafli
JOSTECH: Journal of Science and Technology Vol 2, No 1: Maret 2022
Publisher : UIN Imam Bonjol Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15548/jostech.v2i1.3760

Abstract

The finite difference method is widely used in determining the approximate solution of a time dependent partial differential equation. The purpose of this study is to calculate the numerical solution with a finite difference method to the two dimensional wave equation. The research method used is literature study. The solution of numerical problem using the finite difference method. Discretization the two-dimensional wave equation with a central difference approach. The second step, the discretization result is  simulated  by Matlab software. Based on the finite difference method result, the numerical solution approximates the analytical solution of the given two dimensional wave equation. The stability requirements of numerical solution using the finite difference method is the Von Nuemann stability.
Penerapan Pewarnaan Graf Pada Penjadwalan Mata Kuliah Program Studi Matematika UIN Imam Bonjol Padang Novita Hasanah; Raudhatul Jannah; Mohamad Syafii; Lilis Harianti Hasibuan
Journal of Science and Technology Vol 2, No 2: September 2022
Publisher : UIN Imam Bonjol Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15548/jostech.v2i2.4349

Abstract

A graph is a discrete structure consisting of vertices and edges connecting these vertices. One of the discussions in graph theory is graph coloring. In this research, graph coloring will be applied in making the schedule for the Mathematics study program at UIN Imam Bonjol Padang by assuming the subject as a vertice and the lecturer as an edge. One of the benefits of applying graph coloring in scheduling makes scheduling arrangements easier. The graph coloring algorithm use the Welsh Powell Algorithm. Based on the application of graph coloring with the Welsh Powell Algorithm obtained the lecturer's teaching schedule according to the SKS, time and classroom given.
Penerapan Metode Newton Raphson untuk Pencarian Akar pada Fungsi Kompleks Mohamad Syafii; Rahmi Ridhallah; Rizki Amalia Nur
JOSTECH Journal of Science and Technology Vol 3, No 1: Maret 2023
Publisher : UIN Imam Bonjol Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15548/jostech.v3i1.5685

Abstract

This study aims to compare analytical methods and numerical methods in determining the roots of equations of a complex function. The numerical method used in this research is the Newton Raphson method. In this study two examples of complex functions were given, after which the roots of the equation were searched using the analytical method and the Newton Raphson method, then the results were compared. In this study, two examples are given, namely and . In example one, three different roots were obtained analytically, while numerical calculations using the Newton Raphson method obtained a value that converged to one of the roots that had been obtained analytically. In example two, four different roots were obtained analytically, while numerically using the Newton Raphson method similarly if done using the Newton Raphson method, a value that converged to one of the roots that had been obtained analytically was obtained.