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All Journal M A T H L I N E : Jurnal Matematika dan Pendidikan Matematika Jurnal Penelitian Teknik Sipil Konsolidasi
Kristina, Desi
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Civil Engineering, Building, Construction & Architecture Education Engineering Materials Science & Nanotechnology Mathematics

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Comparison Of Euler Method And Runge Kutta Method In Estimation Of The Number Of Population In Aceh Province: Perbandingan Metode Euler Dan Metode Runge Kutta Dalam Estimasi Jumlah Penduduk Di Provinsi Aceh Tarisma, Tantri; Saumi, Fazrina; Wardani, Suci; Zahara, Zahara; Kristina, Desi
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 7 No. 2 (2022): Mathline: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v7i2.279

Abstract

Residents are people who are in an area and are controlled by applicable rules and interact with each other Residents are people who are in an area and are bound by applicable rules and interact with each other continuously or continuously. If population growth increases, this will cause many problems, including: poverty levels, unemployment, school dropout rates and increasing crime rates in each region. In anticipating the problem of increasing the population of Aceh Province, information about the population is needed. Therefore, this study will discuss several applications of mathematical methods in estimating the population of Aceh Province in the coming year using the Euler method and the Runge Kutta method of order 4. The results of the estimation of the population of Aceh Province using the Runge Kutta method are 5.030.503 inhabitants in 2021, 5.076.307 in 2022 and 5.122.486 in 2023 The estimation results using the Euler method are 5.026.162 in 2021, 5.071.745 in 2022 and 5.117.700 in 2022. The conclusion in this study is that estimation using the Runge Kutta method is a method that is better applied than the method Euler on the problem of estimating the population of Aceh Province. This is because the error value of the Runge Kutta method is smaller than the Euler method with an error value of about 0.04%. Key words : Runge Kutta, Euler, Population.
Analisis Campuran Gypsum Dan Kapur Terhadap CBR Dan Permeabilitas Tanah Lempung Kristina, Desi; Abduh, M. Natsir; Setiawan, Arman
Jurnal Penelitian Teknik Sipil Konsolidasi Vol. 3 No. 1 (2025): Jurnal Penelitian Teknik Sipil Konsolidasi, Januari 2025
Publisher : Program Studi Teknik Sipil Universitas Bosowa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56326/jptsk.v3i1.4494

Abstract

Soil improvement is needed to increase the soil's load-bearing capacity, one method being chemical stabilization using materials like gypsum and lime. Gypsum enhances soil stability due to its calcium content, which binds soil particles and reduces cracking. Lime strengthens the soil and reduces settlement by forming hydrates and minimizing capillary absorption. The goal of soil improvement is to bind and consolidate aggregate materials within the soil. Therefore, soil improvement using gypsum and lime is necessary for enhanced load-bearing capacity. In this study, CBR (California Bearing Ratio) and permeability tests were conducted with a gypsum substitution of 8% in each sample, and lime added at 15%, 20%, and 25%. The CBR and permeability values increased progressively. The original soil's CBR value was 16.15%, while soil mixed with gypsum showed values of 22.19%, 33.95%, 46.79%, and 53.06%, with a maximum increase of 53.00%. For permeability, the original soil had a rate of 0.0034%, and soil mixed with gypsum and lime showed rates of 0.0048%, 0.0057%, 0.0066%, and 0.0085%, with a maximum increase of 0.4117%.
Co-Authors Abduh, M. Natsir Arman Setiawan Saumi, Fazrina Tarisma, Tantri Wardani, Suci Zahara Zahara