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Journal : Eksponensial

Penerapan Metode Adams-Bashforth-Moulton pada Persamaan Logistik Dalam Memprediksi Pertumbuhan Penduduk di Provinsi Kalimantan Timur Apriani, Dewi; Wasono, Wasono; Huda, Moh. Nurul
EKSPONENSIAL Vol. 13 No. 2 (2022)
Publisher : Program Studi Statistika FMIPA Universitas Mulawarman

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (716.25 KB) | DOI: 10.30872/eksponensial.v13i2.1046

Abstract

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.