Limits: Journal of Mathematics and Its Applications
Vol 21, No 1 (2024)

Aplikasi Metode Adams-Bashforth-Moulton Model Verhulst Pada Hasil Panen Padi di Kabupaten Jombang

Lukman Hanafi (Institut Teknologi Sepuluh Nopember)
Kamiran Kamiran (Institut Teknologi Sepuluh Nopember)
Sadjidon Sadjidon (Institut Teknologi Sepuluh Nopember)
Rizki Eko Prasetyo (Institut Teknologi Sepuluh Nopember)



Article Info

Publish Date
08 Apr 2024

Abstract

Rice is one of the main crops produced by agricultural commodities which is staple food of most Indonesian people. The availability of rice is needed to anticipate the emergence of problems in the future such as population growth, changes in seasons, or as an export commodity. Estimation of rice availability in the future can be done by forming a mathematical model, where the mathematical model used is the Verhulst logistic model. The differential equations in the Verhulst model are first solved using Runge-Kutta method  to obtain four initial solutions to be used in finding approximate values using the Adams-Bashforth-Moulton method. After obtaining an approximate solution, a comparison of the accuracy based on error is carried out. The Verhulst model with a step size  and carrying capacity rice harvest at Jombang Regency  limited  500,000 tons, 600,000 tons, and 700,000 tons, obtained rate error values from numerical solution of Adams-Bashforth-Moulton method is 3.35%, 3.39%, and 3.36%.

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Journal Info

Abbrev

limits

Publisher

Subject

Mathematics

Description

Limits: Journal of Mathematics and Its Applications merupakan jurnal yang diterbitkan oleh Lembaga Penelitian dan Pengabdian Kepada Masyarakat (LPPM) Institut Teknologi Sepuluh Nopember, Surabaya, Indonesia. Limits menerima makalah hasil riset di semua bidang Matematika, terutama bidang Analisis, ...