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Lotfi, Mahmoud. (1403). Numerical solution of different population balance models using operational method based on Genocchi polynomials. سامانه مدیریت نشریات علمی, 13(2), 659-675. doi: 10.22034/cmde.2024.60533.2591
Mahmoud Lotfi. "Numerical solution of different population balance models using operational method based on Genocchi polynomials". سامانه مدیریت نشریات علمی, 13, 2, 1403, 659-675. doi: 10.22034/cmde.2024.60533.2591
Lotfi, Mahmoud. (1403). 'Numerical solution of different population balance models using operational method based on Genocchi polynomials', سامانه مدیریت نشریات علمی, 13(2), pp. 659-675. doi: 10.22034/cmde.2024.60533.2591
Lotfi, Mahmoud. Numerical solution of different population balance models using operational method based on Genocchi polynomials. سامانه مدیریت نشریات علمی, 1403; 13(2): 659-675. doi: 10.22034/cmde.2024.60533.2591

Numerical solution of different population balance models using operational method based on Genocchi polynomials

Computational Methods for Differential Equations
مقاله 22، دوره 13، شماره 2، خرداد 2025، صفحه 659-675    اصل مقاله (448.02 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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