Multi-Step DTM simulation of Transesterification reactions model

Esfandian, Hossein; Rezazadeh, Hadi; Rezazadeh, Mohammadreza

doi:10.22034/cmde.2024.47368.1982

Multi-Step DTM simulation of Transesterification reactions model

Document Type : Research Paper

Authors

¹ Faculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, Iran.

² Faculty of Mechanical, Process and Energy, TU Bergakademie Freiberg, Freiberg, Germany.

10.22034/cmde.2024.47368.1982

Abstract

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.

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