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

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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Publication Details

Journal
Interval Indonesian Journal of Mathematical Education
Published
2025-05-05
DOI
https://doi.org/10.37251/ijome.v3i1.1595
Primary Topic
Innovation Diffusion and Forecasting
Type
article
Field-Weighted Citation Impact
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article

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

Sumarni Abdullah, Bernard Alorgbey, Paul Kahenya Njoroge, Yusra Rewili
Interval Indonesian Journal of Mathematical Education
Innovation Diffusion and Forecasting
article

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

Sumarni Abdullah, Bernard Alorgbey, Paul Kahenya Njoroge, Yusra Rewili
article en

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.

Interval Indonesian Journal of Mathematical EducationVol. 3(1)
Islamic University (BD), Universitas Islam Makassar (ID), Africa Nazarene University (KE), University of Education (PK), Imam Abdulrahman Bin Faisal University (SA)
Openalex Percentile: Top 88%
Innovation Diffusion and Forecasting
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