Application of Adams-Bashforth-Moulton Method for Predict Population Growth in Banten Province with Logistic Equation

Tiryono Ruby; Dorrah Azis; Agus Sutrisno; Falen; Felicia Andrade P.M.

doi:10.59890/ijasse.v3i1.317

Authors

Tiryono Ruby State University of Lampung, Indonesia
Dorrah Azis State University of Lampung, Indonesia
Agus Sutrisno State University of Lampung, Indonesia
Falen State University of Lampung, Indonesia
Felicia Andrade P.M. State University of Lampung, Indonesia

DOI:

https://doi.org/10.59890/ijasse.v3i1.317

Keywords:

Logistic Equation, Runge Kutta Method, Adams Basforth Moulton Method

Abstract

In this study, the Logistic equation is used to solve a non-linear GDP. The Adams Ashforth-Moulton method is a multi-step numerical method consisting of Adams Ashforth as a predictor and Adams-Moulton as a corrector. To obtain four initial solutions, the Runge-Kutta method is used first before proceeding to use the Adams-Bashforth-Moulton method. By using the Adams-Bashforth-Moulton method, it aims to get the prediction results of population growth in Banten Province. Based on the calculation results, a numerical solution of the logistic equation for population growth at the time , with a step size of , the capacity of Banten Province is , and the growth rate .

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