Jurnal Matematika Integratif最新文献_第2页

Pemodelan Aliran Fluida Bidang Miring pada Lapisan Tipis 典型层上的镜像流体流建模

Jurnal Matematika Integratif Pub Date : 2023-06-04 DOI: 10.24198/jmi.v19.n1.40855.125-136

Syed Bilal Asim, Evi Noviani, Helmi Helmi

{"title":"Pemodelan Aliran Fluida Bidang Miring pada Lapisan Tipis","authors":"Syed Bilal Asim, Evi Noviani, Helmi Helmi","doi":"10.24198/jmi.v19.n1.40855.125-136","DOIUrl":"https://doi.org/10.24198/jmi.v19.n1.40855.125-136","url":null,"abstract":"Fluid flow can be expressed as a partial differential equation. This study presents a deduction of fluid flow modelling on an inclined plane. The fluid flow is assumed to be incompressible and irrotational. Modelling fluid flow in the incline involves various equations: the continuity equation, the Navier-Stokes equation, the power equation, and the pressure equation. The Navier-Stokes, power-law, and pressure equations are transformed into dimensionless forms and then solved by substituting the power-law and pressure equations into the Navier-Stokes equation. Reynold’s number is assumed to be very small, so we can omit it in the Navier-stokes equation. Further, the Navier-Stokes equation that has been built is transformed into dimensional form. In constructing a fluid flow model on an inclined plane, free surface kinematic equations are also needed, which produce differential equations, so that models and solutions for fluid flow on an inclined plane are obtained in thin layers. This model is in the form of a first-order quasi-linear equation. We obtain that the solution is a function of the position of the fluid flowing at a certain time which also depends on the fluid type.","PeriodicalId":53096,"journal":{"name":"Jurnal Matematika Integratif","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45654951","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Rekonstruksi Permukaan Bebas Fluida Menggunakan Metode Volume of Fluid 用流体体积法重建流体自由曲面

Jurnal Matematika Integratif Pub Date : 2023-06-03 DOI: 10.24198/jmi.v19.n1.46422.109-123

Uray Agustian, Evi Noviani, Yudhi Yudhi

{"title":"Rekonstruksi Permukaan Bebas Fluida Menggunakan Metode Volume of Fluid","authors":"Uray Agustian, Evi Noviani, Yudhi Yudhi","doi":"10.24198/jmi.v19.n1.46422.109-123","DOIUrl":"https://doi.org/10.24198/jmi.v19.n1.46422.109-123","url":null,"abstract":"Fluid is a substance that changes shape and position when exposed to shear stress. The domain of the fluid can change along with changing the shape of the surface. This boundary is called the free surface boundary. We expressed the fluid flow problems involving free surfaces as partial differential equations. In solving this problem, certain techniques are needed, one of which is numerical, if the exact solution cannot be determined. This study examines the modelling of the free surface of the fluid and its solution numerically using the Volume of Fluid (VOF) method. Modelling fluid flow problems with a free surface, in general, begins by using the law of the conservation of mass and the law of the conservation of momentum, which produces the Navier-Stokes equation. The fluid is assumed to be incompressible. This study uses the VOF method with the Parker and Young algorithm to solve the free surface boundary problem. The surface of the fluid is described as a semicircle with a radius of 1 and a grid size of 10 × 5. We divide the boundary of the fluid into 14 partitions, then the area of each grid is determined, and the slope of the line is found on the partition through the four sur-rounding grid values. Henceforth, we obtained the equation of the line for each partition. We get a piecewise function from the calculation with an average error of 0.01459715.","PeriodicalId":53096,"journal":{"name":"Jurnal Matematika Integratif","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47365122","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Sifat-sifat Fungsi Terfragmentasi dan Fungsi Terfragmentasi Terhitung Fungsional 支离破碎功能和支离破碎功能均有功能性

Jurnal Matematika Integratif Pub Date : 2023-06-02 DOI: 10.24198/jmi.v19.n1.45047.55-66

Albert Mario Kumanireng, A. Zulijanto

引用次数: 0

Forecasting the Indonesian Coffee Production and Consumption Using the Modified Golden Section Search to Estimate the Smoothing Parameters 用修正黄金分割搜索估计平滑参数预测印尼咖啡产量和消费量

Jurnal Matematika Integratif Pub Date : 2023-06-02 DOI: 10.24198/jmi.v19.n1.44573.41-54

Triesha Syifahati, A. Triska, Julita Nahar

{"title":"Forecasting the Indonesian Coffee Production and Consumption Using the Modified Golden Section Search to Estimate the Smoothing Parameters","authors":"Triesha Syifahati, A. Triska, Julita Nahar","doi":"10.24198/jmi.v19.n1.44573.41-54","DOIUrl":"https://doi.org/10.24198/jmi.v19.n1.44573.41-54","url":null,"abstract":"The Double Exponential Smoothing (DES) and Triple Exponential Smoothing (TES) are forecasting methods that require two and three smoothing parameters, respectively. Smoothing parameters are often determined through a trial and error process that is not really efficient since many experiments need to be done. Therefore, in this study, a smoothing parameter estimation algorithm is conducted in the form of the modified Golden Section Search (GSS) to obtain the optimal smoothing parameters from the DES and TES methods. Forecasting is carried out on production, domestic consumption, and export consumption data of Indonesian coffee, which is one of the leading agricultural sub-sector commodities. The data is obtained from the Ministry of Agriculture of the Republic of Indonesia. The smoothing parameters obtained by applying the modified GSS are used to forecast production and domestic consumption data using the DES method, while the forecasting of the export consumption data is done with the TES method. All of the MAPE values are less than 20% which indicates that the smoothing parameters obtained by using the modified GSS are able to perform good forecasting. The results show that coffee production in Indonesia cannot meet its demand until 2024 since the total coffee consumption exceeds the production.","PeriodicalId":53096,"journal":{"name":"Jurnal Matematika Integratif","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48573810","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Robust Optimization Model for Internet Shopping Online Problems with Endorsement Costs in the Fashion Industry 时尚行业具有背书成本的网络购物问题的鲁棒优化模型

Jurnal Matematika Integratif Pub Date : 2023-06-02 DOI: 10.24198/jmi.v19.n1.45096.67-76

Olivia Anjanette, B. Subartini, D. Chaerani

{"title":"Robust Optimization Model for Internet Shopping Online Problems with Endorsement Costs in the Fashion Industry","authors":"Olivia Anjanette, B. Subartini, D. Chaerani","doi":"10.24198/jmi.v19.n1.45096.67-76","DOIUrl":"https://doi.org/10.24198/jmi.v19.n1.45096.67-76","url":null,"abstract":"Online business is a business activity carried out via the internet or digitally. Buying, selling, and advertising are done online through e-commerce, social media, or online shops. The products offered vary, including services, food, household needs, and fashion. Selling online is not limited by time and distance, and consumers can obtain information about products and services that can influence their decisions. At the same time, sellers also have the opportunity to advertise their products in a broader range by making endorsements. An endorsement is a form of advertising using well-known figures who are recognized, trusted, and respected by people. In this thesis, a model for optimizing the problem of online internet shopping with endorsement fees is formulated. This optimization model aims to maximize the profits gained by sellers in marketing their products online. In marketing products, there is uncertainty in the number of requests. To overcome this uncertainty, an approach is needed that can handle this uncertainty, namely Robust optimization. The Robust optimization model is solved using the polyhedral uncertainty set approach, resulting in a computationally tractable optimal solution. Keywords: internet shopping online; endorsement costs; robust optimization.","PeriodicalId":53096,"journal":{"name":"Jurnal Matematika Integratif","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49106915","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Matching Maksimum pada Graf Petersen Berarah Berdasarkan Multiplisitas Geometri Terbesar 根据最大的几何多边形，指示方向的最大匹配点

Jurnal Matematika Integratif Pub Date : 2023-06-02 DOI: 10.24198/jmi.v19.n1.41972.1-11

Anita Bekti Pratiwi, Triyani, Jl. dr. Seoparno, Karangwangkal Purwokerto

引用次数: 0

Wiener Index Calculation on the Benzenoid System: A Review Article 苯系化合物的维纳指数计算综述

Jurnal Matematika Integratif Pub Date : 2023-06-02 DOI: 10.24198/jmi.v19.n1.44487.13-28

D. Johar, Asep K. Supriatna, E. Carnia

引用次数: 0

An Edge Irregular Reflexive k−labeling of Comb Graphs with Additional 2 Pendants 具有附加2个吊坠的梳状图的边不规则自反k-标记

Jurnal Matematika Integratif Pub Date : 2023-06-02 DOI: 10.24198/jmi.v19.n1.41624.89-108

Sri Nurhayati, Yeni Susanti

引用次数: 0

Aturan Titik Tengah Double untuk Integral Riemann-Stieltjes 积分Riemann-Stieltjes的双中心点规则

Jurnal Matematika Integratif Pub Date : 2023-06-02 DOI: 10.24198/jmi.v19.n1.45399.29-39

Rike Marjulisa, Imran M

引用次数: 0

Kontrol Optimal Menggunakan A.aleyrodhis Penyebaran Penyakit Virus Kuning Pada Tanaman Terong 用A.aleyrodhis黄病毒病对榕树的最优控制

Jurnal Matematika Integratif Pub Date : 2023-06-02 DOI: 10.24198/jmi.v19.n1.44661.77-87

Ayun Sri Rahmani, N. Anggriani, Asep K. Supriatna

引用次数: 0