Application of Adams-Bashforth-Moulton Method on Logistic Equation in Predicting Population Growth

  • Bernard Alorgbey University of Education
  • Sumarni Abdullah Alauddin State Islamic University Makassar
  • Paul Kahenya Njoroge Africa Nazarene University
  • Yusra Rewili Imam Abdulrahman bin Faisal University
DOI: https://doi.org/10.37251/ijome.v3i1.1595
Keywords: Adams-Bashforth-Moulton Method, Applied Research, Population Growth, Runge Kutta Method

Abstract

Purpose of the study: This study aims to obtain population growth prediction results using the Adams-Bashforth-Moulton method.

Methodology: This type of research is applied research. In this study, the Adams-Bashforth-Moulton method was applied by solving the problem of population growth in South Sulawesi Province.

Main Findings: The logistic equation for population growth with a step size of h = 1 and the capacity of South Sulawesi Province is 20,000,000 people, with a growth rate of 2%.  The numerical solution of the logistic equation for population growth at time t = 2020 with an optimal step size of ℎ = 1 is 8,944,168 people.

Novelty/Originality of this study: This research is unique in the form of applying the Adams-Bashforth-Moulton method to solve problems in calculating population growth in South Sulawesi Province.

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Published
2025-05-05
How to Cite
Alorgbey, B., Abdullah, S., Njoroge, P. K., & Rewili, Y. (2025). Application of Adams-Bashforth-Moulton Method on Logistic Equation in Predicting Population Growth. Interval: Indonesian Journal of Mathematical Education, 3(1), 82-94. https://doi.org/10.37251/ijome.v3i1.1595
Issue
Vol. 3 No. 1 (2025): June
Section
Articles

Copyright (c) 2025 Bernard Alorgbey, Sumarni Abdullah, Paul Kahenya Njoroge, Yusra Rewili

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