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I PUTU WINADA GAUTAMA
Universitas Udayana
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Implementasi Numerik Berbagai Kondisi Batas pada Persamaan Air Dangkal Menggunakan Metode Elemen Hingga Terbaru Konformal dan Non-Konformal Swastika, Pt Veri; Sulvianuri, Rani; Gautama, I Putu Winada
Jurnal Matematika Vol 14 No 1 (2024)
Publisher : Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2024.v14.i01.p168

Abstract

In this paper, we extend the capability of a newly developed numerical scheme based on our preceding linear conformal and non-conformal finite element methods (FEM) to study 2D shallow water equations (SWE) with various boundaries. Unlike usual approach, we approximate the unknown in a staggered grid due to the use of linear alternating basis. Here, the free surface is approximated using a conformal while the velocity potential is approximated using a non-conformal linear basis. As a result, the varational problem must be reformulated. The resulting scheme is a ODE system which is easy to solve by any time integration method. Therefore, our method is staggered in space, explicit, flexible and simple to implement. The simulation results show that the flexibility of the scheme can be interpreted as the successful use of various boundary conditions. Keywords: 2D SWE, staggered finite element, non-conformal basis, influx boundary
Penerapan Model Struktural Berhierarki pada Kualitas Layanan Shopee, Motivasi Berbelanja, dan Loyalitas Damanik, Veni Jean Gabriella; Kencana, I Putu Eka Nila; Gautama, I Putu Winada
Jurnal Matematika Vol 13 No 2 (2023)
Publisher : Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2023.v13.i02.p162

Abstract

Technological advances affect human life, one of which is in the field of trade, namely the existence of an online buying and selling system through e-commerce. The results of research conducted by Ipsos at the end of 2021 on the competition of several e-commerce proved that Shopee is the most popular and widely used e-commerce by the people of Indonesia. This is evident from the quality of Shopee services considered good by consumers so that increase consumer interest and motivation to shop at Shopee and consumer loyalty to Shopee. Therefore, this study aims to determine whether there is an influence of Shopee service quality on shopping motivation and consumer loyalty. To answer the purpose of this study, a hierarchical structural equation modeling (SEM) method was used. Based on the design of the research model and the results of the structural model analysis in the study, it was proven that the service quality construct can explain the shopping motivation construct by 46,3%, while the service quality construct can explain the consumer loyalty construct by 36,5%. Thus, it can be concluded that the quality of service affects shopping motivation and consumer loyalty.
ICD-10 WHO Search With RAKE Algorithm Wijayakusuma, I Gusti Ngurah Lanang; Gautama, I Putu Winada
Jurnal Matematika Vol 13 No 2 (2023)
Publisher : Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2023.v13.i02.p163

Abstract

In most cases, clinicians do not use the ICD-10 standard established by the WHO for diagnosing diseases. These issues may result in outcomes that are undesirable from the standpoints of patient safety and the law. The WHO ICD-10 standard collection of diagnoses that can’t be effectively searched using MySQL’s native search mechanism. Therefore, in order to automatically produce several keywords for each ICD-10 code, academics are interested in analyzing the natural language analysis of WHO ICD-10 data. When diagnosing illnesses, it is envisaged that the availability of numerous types of keywords can lead to more fruitful search results. Natural language analysis, a technique for removing stop words from sentences and simultaneously assessing the semantics of the language from which the keywords will be extracted, makes it possible to do this. Keywords: Natural Language Analysis ; ICD-10 ; Stop Words ; Semantics.
Mathematical Model of COVID-19 with Aspects of Community Compliance to Health Protocols Gautama, I Putu Winada; Wijayakusuma, IGN Lanang; Swastika, Putu Veri; Dwipayana, I Made Eka
Jurnal Matematika UNAND Vol. 14 No. 2 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.2.154-166.2025

Abstract

COVID-19 infection is still a health problem in various countries. Some people who recover from COVID-19 still experience some symptoms. Therefore, it is essential to implement health protocols to minimize transmission of the COVID-19 virus. Based on this, a mathematical model of COVID-19 with aspects of community compliance with health protocols is presented. The population is divided into three subpopulations: the susceptible subpopulation, the exposed subpopulation, and the infected subpopulation. The basic reproduction number, $R_0$, determines whether there are disease-free and endemic equilibrium points. When $R_0$ is less than 1, the disease-free equilibrium is locally asymptotically stable. Conversely, when $R_0$ is greater than 1, the endemic equilibrium point is locally stable. Numerical simulations will demonstrate how COVID-19 spreads, taking into account community adherence to health guidelines. The results of numerical simulations indicate that an increase in public adherence to health protocols leads to a decrease in the number of COVID-19 infections.
Co-Authors Damanik, Veni Jean Gabriella I MADE EKA DWIPAYANA I Putu Eka Nila Kencana Sulvianuri, Rani Swastika, Pt Veri Swastika, Putu Veri Wijayakusuma, I Gusti Ngurah Lanang