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All Journal M A T H L I N E : Jurnal Matematika dan Pendidikan Matematika
Tarisma, Tantri
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Education 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.
Application Of The Adams Bashforth-Moulton Method To Coffee Production Quantity Approach Tarisma, Tantri; Saumi, Fazrina; Nabilla, Ulya
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 9 No. 4 (2024): Mathline : Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v9i4.660

Abstract

Coffee is a type of plantation plant that has long been cultivated so that it has high economic value. Therefore, the authors are interested in approximating the amount of coffee production using the Adams Basforth Moulton method. The Adams Bashforth Moulton method is a way of finding a numerical solution at a certain point of a non-linear differential equation with a known initial value. The differential equation is first solved using the fourth-order Runge Kutta method to obtain four initial solutions which are then substituted into the fourth order Adams Bashforth predictor equation. Furthermore, the approximation value is corrected using the fourth-order Adams Moulton corrector equation. If the relative error is less than the stopping criterion , then the iteration is stopped. The iterations are performed 25 times with an interval of [0,25]. The results of the approximation using the Adams Bashforth Moulton method on the Verhults equation in the approximation show that every year the amount of production increases. The results of the total coffee production in Aceh Province in 2022 will reach 71468 tons and in 2023 it will reach 72966 tons and in 2024 it will reach 74465 tons.
Co-Authors Kristina, Desi Nabilla, Ulya Saumi, Fazrina Wardani, Suci Zahara Zahara