Mathematical Modeling of Heat Conduction

2021/07/25 by Abdul Aziz Momin, Momin, Abdul Aziz, Nikhil Shende +11
Computer Science · Engineering · Physics and Astronomy · #Computational Engineering #Experimental Learning in Engineering #FOS: Computer and information sciences #Finance #Modeling and Simulation Systems #Scientific Research and Discoveries #and Science (cs.CE)

paper · pdf · doi:10.48550/arxiv.2107.11737

openalex publication_date 2021/07/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This report describes a mathematical model of heat conduction. The differential equation for heat conduction in one dimensional rod has been derived. The explicit finite difference numerical method is used to solve this differential equation. Then for simulation, a code was written in using python libraries via Jupyter notebook. The simulation carried out for Aluminum, Copper and Mild Steel rods and results were discussed.

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