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Multi-Step DTM simulation of Transesterification reactions model | ||
Computational Methods for Differential Equations | ||
مقاله 20، دوره 13، شماره 2، خرداد 2025، صفحه 634-645 اصل مقاله (432.7 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22034/cmde.2024.47368.1982 | ||
نویسندگان | ||
Hossein Esfandian1؛ Hadi Rezazadeh* 1؛ Mohammadreza Rezazadeh2 | ||
1Faculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, Iran. | ||
2Faculty of Mechanical, Process and Energy, TU Bergakademie Freiberg, Freiberg, Germany. | ||
چکیده | ||
The multi-step differential transform method (DTM) adopted from the standard DTM is employed in this case study to solve a model of the transesterification reaction. The DTM is considered in a sequence of time intervals. The accuracy of the proposed method is confirmed by comparing its results with those of the fourth-order RungeKutta (RK4) method. In addition, the experimental results are investigated with the Multi-step DTM to demonstrate the efficiency and effectiveness of these chemical reactions obtained in the laboratory. The present findings confirmed the effectiveness of using the multi-step DTM in validating the chemical models obtained in laboratories. | ||
کلیدواژهها | ||
Multi-step DTM؛ Transesterification reaction؛ RK4 method؛ Numerical solution | ||
آمار تعداد مشاهده مقاله: 117 تعداد دریافت فایل اصل مقاله: 274 |