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Journal : Tensor: Pure and Applied Mathematics Journal

Penyelesaian Numerik Persamaan Diferensial Orde Dua Dengan Metode Runge-Kutta Orde Empat Pada Rangkaian Listrik Seri LC Monalisa E Rijoly; Francis Yunito Rumlawang
Tensor: Pure and Applied Mathematics Journal Vol 1 No 1 (2020): Tensor : Pure And Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol1iss1pp7-14

Abstract

One alternative to solve second order differential equations by numerical methods, specificallynon-liner differential equations is the Runge-Kutta fourth order method. The Runge-Kutta fourth ordermethod is a numerical method that has high degree of precision and accuracy when compared to othernumerical methods. In this paper we will discuss the numerical solution of second order differentialequations on LC series circuit problem using the Runge-Kutta fourth order method. The numericalsolution generated by the computational calculation using the MATLAB program, the strong current andcharge are obtaind from t = 0 and t =0,5 second and different step size values
Perancangan Sistem Deteksi Plagiarisme Skripsi (Judul Dan Abstrak) Berbasis Matlab Menggunakan Algoritma Winnowing Monalisa E. Rijoly; Windy Pramudita; Berny Pebo Tomasouw; Zeth Arthur Leleury
Tensor: Pure and Applied Mathematics Journal Vol 2 No 2 (2021): Tensor : Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol2iss2pp67-76

Abstract

Plagiarism is an act of plagiarizing the work of others who will then acknowledge the work as one's own work without mentioning the source of the work. This research aims to create a plagiarism detection system using the winnowing algorithm in MATLAB to prevent plagiarism in the final project of the Mathematics Department students. In order to get the best k-gram value and window size that will be used in the system, a testing process is carried out between document I (100% data) and document II (80% data) by using variations in k-gram values ​​and window sizes. The test results show that the best k-gram ​​and window size are 12 and 4.
Optimization of Assignment Problems using Hungarian Method at PT. Sicepat Express Ambon Branch (Location: Java City Kec. Ambon Bay) Ardial Meik; Venn Yan Ishak Ilwaru; Monalisa E. Rijoly; Berny Pebo Tomasouw
Tensor: Pure and Applied Mathematics Journal Vol 3 No 1 (2022): Tensor: Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol3iss1pp23-32

Abstract

One of the special cases of problems in linear programming that is often faced by a company in allocating its employees according to their abilities is the assignment problem. The assignment problem can be solved using the Hungarian Method. In applying the Hungarian method, the number of employees assigned must be equal to the number of jobs to be completed. In this study, the Hugarian method was used to optimize the delivery time of goods from PT. SiCepat Express Ambon Branch – Java City. To solve the assignment problem at PT. SiCepat Express Ambon Branch – Java City, the required data includes employee names, destination locations, and delivery times. Before using the Hungarian method, the total delivery time of 7 employees at 10 destinations is 955 minutes. However, after using the Hungarian method, the total delivery time of 7 employees at 10 destination locations was 440 minutes. It can be seen that there are 515 minutes of time effisiency. We also Solved this assignment problem uses the QM For Windows Version 5.2 software and go the same amount of time, which is 440 minutes.
Solusi Numerik Model Penyebaran Virus Covid-19 Dengan Vaksinasi Menggunakan Metode Runge-Kutta Fehlbrg Orde Lima Pada Provinsi Maluku Rijoly, Monalisa E.; Rumlawang, Francis Y.; Maurits, Stefalya
Tensor: Pure and Applied Mathematics Journal Vol 4 No 2 (2023): Tensor: Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol4iss2pp93-104

Abstract

COVID-19 is a new type of disease that has never been identified in humans before. The virus that causes COVID-19 is called Servere Acute Respiratory Syndrome Coronavirus-2 (Sars-Cov-2). The purpose of this study is to predict the spread of the COVID-19 virus by vaccination in Maluku Province in the next 20 months. The mathematical model used in this study is SEIRV with five sub-populations. Susceptible sub population (S), patient under surveillance (PDP)/Exposed sub population (E), Infected (I), Recovered (R), and Vaccinated (V) sub population as initial values S0 =190.295, E0=261, R0=172, and V0=7.693. Furthermore, numerical model simulations using the fifth order Runge-Kutta Fehlberg method over the next 20 months are for the susceptible sub population (S) of 693 people, for the Patient Under Monitoring sub population (PDP) (E) of 101 people, for the sub population infected (I) of 301 people, for the rate of recovery population (R) of 704 people and for the vaccinated sub population (V) of 16,951 so that it can be concluded that the sub population (V) has effectiveness because the susceptible sub population (S) decreases so that vaccination can be a solution to prevent the spread of the COVID-19 virus in Maluku Province within the next 20 months.