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All Journal Indonesian Journal of Applied Mathematics Transcendent Journal of Mathematics and Applications
Supmawati, Meysi
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Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Environmental Science Mathematics Physics

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Estimasi Jumlah Mismanaged Plactic Waste (MPW) Berdasarkan Kenaikan Populasi: Studi Kasus 30 Negara Tahun 2019-2022: Studi Kasus 30 Negara Tahun 2019-2022 Muliawati, Triyana; Supmawati, Meysi; Rahmawati, Eli; Aula, Naila Tsamrotul
Indonesian Journal of Applied Mathematics Vol. 4 No. 1 (2024): Indonesian Journal of Applied Mathematics Vol. 4 No. 1 April Chapter
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35472/indojam.v4i1.1175

Abstract

Abstract: Humans have produced more than 8 billion tons of plastic, more than half of which is directly dumped into landfills and only about 9% is recycled. This makes the author interested in looking at the relationship between population and the amount of waste generated in the hope of helping the government in reducing the amount of waste generated. This study aims to estimate the amount of Mismanaged Plastic Waste (MPW) based on population increase, focusing on 30 countries from 2019 to 2022. The Rank Spearman correlation test method was used to evaluate the relationship between population size and the amount of MPW, showing a strong relationship with a correlation coefficient of 0.60712. Furthermore, an analysis using the Cox-Stuart test was conducted to determine the trend in population size from 2003 to 2022, which showed that there was no clear trend in the population data or an upward trend in the time span. Based on these findings, a predictive estimate of the number of MPW for the period 2019-2020 was conducted, providing additional insight into the impact of population growth on the amount of unmanaged plastic waste in these countries.
Method of multiple scales on Duffing oscillator equation and the existence of its limit cycle Putra, Gusrian; Supmawati, Meysi; Prasetyo, Bayu
Transcendent Journal of Mathematics and Applications Vol 2, No 2 (2023)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v2i2.34035

Abstract

The Duffing Oscillator equation is a second-order nonlinear differential equation that describes an oscillator with a cubic nonlinearity. In this paper, the Duffing equation involves damping factors, restoring forces, periodic force and its frequency, and nonlinearity constants. One of the perturbation techniques that can be used to determine the approximate solution of the Duffing oscillator equation is the method of Multiple Scales. Due to the existence of a sinusoidal periodic force in the equation, the Multiple Scales method produces a sinusoidal approximation as its solution. The solutions are also in a good agreement with the numerical results for small nonlinearity constants. The smaller the nonlinearity constant, the smaller the error obtained with the numerical results in comparison. The approximate solution also tends to be sinusoidal for small nonlinearity constants. Finally, the approximate solution obtained is able to predict the existence of a limit cycle in the Duffing Oscillator equation around the origin due to the existence of its particular solutions.
Co-Authors Aula, Naila Tsamrotul Bayu Prasetyo, Bayu Eli Rahmawati, Eli Muliawati Putra, Gusrian