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All Journal M A T H L I N E : Jurnal Matematika dan Pendidikan Matematika
Yuliastuti Dwi Lestari
Universitas Sanata Dharma
Education Mathematics

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Numerical Solution Analysis Using The Runge-Kutta-Fehlberg Method on A Model of The Spread of Smoking Behavior Yuliastuti Dwi Lestari; Sudi Mungkasi
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 11 No. 2 (2026): Mathline : Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v11i2.1050

Abstract

We consider a mathematical model of the spread of smoking behavior in the population. The model is solved using the Runge-Kutta-Fehlberg numerical method. As smoking is not healthy in general, we are interested in the case of smoker-free in the long term of time. The equilibrium of the smoker-free is recalled and used to match the numerical simulation for large time values. In addition, our contribution in this paper is to verify that the Runge-Kutta-Fehlberg numerical method is fifth order in convergence. Using error tabulation, we show that the numerical method is indeed of the fifth order.
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