Penerapan Metode Adams Bashforth Moulton melalui Persamaan Logistik dalam Memprediksi Jumlah Penduduk di Kota Medan

Authors

  • Febya Br Nasution Universitas Islam Negeri Sumatera Utara
  • Dian Cintya Hasmi Br Pohan Universitas Islam Negeri Sumatera Utara
  • Rico Pradana Dita Universitas Islam Negeri Sumatera Utara
  • Rizq Alwi Marpaung Universitas Islam Negeri Sumatera Utara

DOI:

https://doi.org/10.62383/bilangan.v3i1.390

Keywords:

Logistic, Model, Adams-Bashforth-Moulton, Method, Runge-Kutta

Abstract

One of the biggest problems faced by several countries is the rapid increase in population growth, especially in an archipelagic country like Indonesia. One of the cities in North Sumatra Province that has experienced a significant increase in population is Medan City. This study discusses the population growth each year in Medan City. This study predicts the future population by combining historical data on population, birth rate, death rate, and migration using the Adams-Bashforth-Moulton approach in logistic modeling. This study shows the progress of the approach in predicting the population growth of Medan City. With an area of ​​265.10 thousand km2, and a population reaching 2,474,166 people in 2023. The Adams-Bashforth-Moulton method as a logistic growth model is very effective for decision making in predicting population growth in the city of Medan.

Downloads

Download data is not yet available.

References

Apriani, D., Wasono, & Huda, M. N. (2022). Penerapan metode Adams-Bashforth-Moulton pada persamaan logistik dalam memprediksi pertumbuhan penduduk di Provinsi Kalimantan Timur. Jurnal Eksponensial, 13(2), 95–102.

Bronson, R., & Costa, J. (2007). Introduction to mathematical methods in the applied sciences. Wiley-Interscience.

Mankiw, N. G. (2003). Pengantar ekonomi (H. Munandar, Trans.). Erlangga.

Nugroho, R. (2009). Metode Runge-Kutta dalam pemecahan persamaan diferensial. PT. Raja Grafindo Persada.

Raming, I., Wirawan, A. S., Syaripuddin, Putri, A. A., Aslina, Syahputra, D. R., Dala, M. A. D., & Avrilia, M. P. (2024). Pemetaan pertumbuhan penduduk di Kota Samarinda melalui pemodelan logistik dengan metode Adams-Bashforth-Moulton. Journal of Mathematics, Computations, and Statistics, 7(1), 133–143.

Riska, P., Noviani, E., & Yudhi. (2022). Prediksi jumlah penduduk dengan persamaan logistik menggunakan metode Adams-Bashforth-Moulton. Jurnal Ilmiah Mat. Stat dan Terapannya (Bimaster), 11(1), 159–166.

Sari, A. K., Widyasari, R., & Cipta, H. (2024). Persamaan logistik menggunakan metode Adams-Bashforth-Moulton dalam memprediksi jumlah penduduk di Indonesia. Jurnal Ilmiah Pendidikan Matematika, Matematika, dan Statistika, 5(1), 111–119.

Suryani, I., Suprianto, A., Wartono, & Rahmadeni. (2023). Menggunakan metode Milne-Simpson dan Adams-Bashforth-Moulton. Jurnal Sains Matematika dan Statistika, 9(1), 27–36.

Verhulst, P. F. (1838). Notice sur la loi que la population suit dans son accroissement. Correspondance Mathématique et Physique, 10, 113–121.

World Bank. (1994). Infrastructure for development. Oxford University Press.

Downloads

Published

2025-01-15

How to Cite

Febya Br Nasution, Dian Cintya Hasmi Br Pohan, Rico Pradana Dita, & Rizq Alwi Marpaung. (2025). Penerapan Metode Adams Bashforth Moulton melalui Persamaan Logistik dalam Memprediksi Jumlah Penduduk di Kota Medan. Bilangan : Jurnal Ilmiah Matematika, Kebumian Dan Angkasa, 3(1), 79–91. https://doi.org/10.62383/bilangan.v3i1.390

Similar Articles

<< < 1 2 3 4 5 6 7 > >> 

You may also start an advanced similarity search for this article.