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Numerical Investigation of Smoking Behavior Dynamics Using Spectral Collocation Method | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 19 خرداد 1404 اصل مقاله (3.18 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2025.63796.2861 | ||
| نویسندگان | ||
| Keerthana G؛ SAGITHYA THIRUMALAI* | ||
| Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Chennai Campus, India. | ||
| چکیده | ||
| Smoking poses a significant threat to global public health and remains one of the leading causes of health problems. To examine these smoking-related issues, this paper aims to study the modified smoking model which represents a system of five-compartment such as potential smokers, snuffing class, irregular smokers, regular smokers, and quitters. A computational analysis was used to evaluate the model using the spectral collocation method. The core idea of the spectral collocation technique is to approximate the solution as a truncated series of basis functions using Chebyshev polynomials. By incorporating collocation points, the truncated series is transformed into an operational matrix form, which in turn converts the governing differential equations into a system of non-linear algebraic equations. Furthermore, the residual and absolute error for different collocation points is established. Additionally, the effects of various parameters such as transmission rate, recovery rate, quit rate, and death rate on the smoking model has been analyzed. All these computational investigations on the model are displayed in the form of figures. Finally, the effect of different combinations of parameters on the smoking dynamics and its impact is represented using contour plots. | ||
| کلیدواژه‌ها | ||
| Smoking model؛ Spectral collocation method؛ Chebyshev polynomial | ||
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آمار تعداد مشاهده مقاله: 23 تعداد دریافت فایل اصل مقاله: 24 |
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