Mathematical modeling and simulations using software like MATLAB, COMSOL and Python

Idoko Peter Idoko 1, *, Gerald Chekwube Ezeamii 2 Christian Idogho 3, Enemali Peter 4, Ubong Sunday Obot 5 and Vitalis Afebuame Iguoba 6

1 Department of Electrical/ Electronic Engineering, College of Technology, University of Ibadan.
2 Department of Chemical Engineering, Federal University of Technology, Owerri, Nigeria.
3 Department of Material Science and Engineering, University of Vermont, Burlington, 05405, USA.
4 Department of Mathematics, Joseph Sarwuan Tarka University, Makurdi, Nigeria.
5 Department of Electrical Electronics Engineering, Faculty of Engineering, Federal University Lokoja, Nigeria.
6 Department of Electrical Engineering, Dangote Cement PLC, Nigeria.
 
Research Article
Magna Scientia Advanced Research and Reviews, 2024, 12(02), 062–095
Article DOI: 10.30574/msarr.2024.12.2.0181
Publication history: 
Received on 23 September 2024; revised on 03 November 2024; accepted on 06 November 2024
 
Abstract: 
This study explores the application of MATLAB, COMSOL, and Python in mathematical modeling and simulation within precision engineering. These tools are analyzed for their strengths in handling various engineering challenges, from control systems to multiphysics simulations and custom algorithm development. The study also investigates the role of artificial intelligence (AI), in supporting mathematical modeling tasks by automating coding, providing concept explanations, and aiding model structuring. By comparing computational performance, accuracy, and usability, the research aims to identify the best-suited software for different simulation types, such as thermal-fluid dynamics and structural analysis. The findings underscore the significance of choosing appropriate software for optimizing computational resources, validating models, and achieving reliable, efficient simulations. This study contributes practical guidelines for bridging the gap between theoretical models and practical applications, enhancing productivity, and fostering innovation in precision engineering.
 
Keywords: 
Mathematical modeling; Simulations; Software; MATLAB; COMSOL; Python
 
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