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

Authors

  • Bernard Alorgbey University of Education image/svg+xml
  • Sumarni Abdullah Alauddin State Islamic University Makassar
  • Paul Kahenya Njoroge Africa Nazarene University image/svg+xml
  • Yusra Rewili Imam Abdulrahman Bin Faisal University image/svg+xml

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

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Articles

How to Cite

Application of Adams-Bashforth-Moulton Method on Logistic Equation in Predicting Population Growth. (2025). Interval: Indonesian Journal of Mathematical Education, 3(1), 82-94. https://doi.org/10.37251/ijome.v3i1.1595

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