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Numerical solution of different population balance models using operational method based on Genocchi polynomials | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 24 خرداد 1403 اصل مقاله (538.21 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2024.60533.2591 | ||
| نویسنده | ||
| Mahmoud Lotfi* | ||
| Department of Mathematics Education, Farhangian University, P.O. Box 14665-889, Tehran, Iran. | ||
| چکیده | ||
| Genocchi polynomials have exciting properties in the approximation of functions. Their derivative and integral calculations are simpler than other polynomials and, in practice, they give better results with low degrees. For these reasons, in this article, after introducing the important properties of these polynomials, we use them to approximate the solution of different population balance models. In each case, we first discuss the solution method and then do the error analysis. Since we do not have an exact solution, we compare our numerical results with those of other methods. The comparison of the obtained results shows the efficiency of our method. The validity of the presented results is indicated using MATLAB-Simulink. | ||
| کلیدواژه‌ها | ||
| Genocchi polynomials؛ Genocchi numbers؛ population balance models؛ Error analysis؛ numerical results | ||
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آمار تعداد مشاهده مقاله: 191 تعداد دریافت فایل اصل مقاله: 145 |
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