Penerapan Metode Adams-Bashforth-Moulton pada Persamaan Logistik Dalam Memprediksi Pertumbuhan Penduduk di Provinsi Kalimantan Timur
Penerapan Metode Adams-Bashforth-Moulton pada Persamaan Logistik Dalam Memprediksi Pertumbuhan Penduduk di Provinsi Kalimantan Timur
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Penerapan Metode Adams-Bashforth-Moulton pada Persamaan Logistik Dalam Memprediksi Pertumbuhan Penduduk di Provinsi Kalimantan Timur
DOI：
10.30872/eksponensial.v13i2.1046
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
M. Huda
中科院分区：
文献类型：
--
作者：
Dewi Apriani;Wasono Wasono;M. Huda
Logistic方程是一个描述人口的非线性常微分方程式。非线性常微分方程组可以用一种数值方法来求解，即Adams-Bashforth-Moulton方法。亚当斯-巴什福斯-莫尔顿方法是一种由亚当斯-巴什福斯方法作为预报器和亚当斯-莫尔顿方法作为校正器的多步法。首先用龙格-库塔法求解Logistic方程，得到四个初始解，然后用Adams-Bashforth-Moulton法求解。这项研究旨在使用亚当斯-巴什福斯-莫尔顿方法预测东加里曼丹省的人口增长。根据计算结果，得到了东加里曼丹省人口增长的Logistic方程的数值解，步长为：东加里曼丹省的人口容量为3,856,564人。
Logistic equation is a nonlinear ordinary differential equation that describes the population. Nonlinear ordinary differential equations can be solved by one of the numerical methods, namely the Adams-Bashforth-Moulton method. Adams-Bashforth-Moulton method is a multistep method which consists of Adams-Bashforth method as predictor and Adams-Moulton method as corrector. The logistic equation is solved first by using the Runge-Kutta method to obtain the four initial solutions, then followed by the Adams-bashforth-Moulton method. This study aims to predict population growth in the province of East Kalimantan using the Adams-Bashforth-Moulton method. Based on the calculation results obtained a numerical solution of the logistic equation for population growth at , with a step size of , the capacity of the province of East Kalimantan is and the growth rate of is 3,856,564 inhabitants.