A Study of the One-Dimensional Heat-Conduction Equation with Radiation
Numerical Analysis
2024-02-01 v2 Numerical Analysis
Classical Analysis and ODEs
Abstract
We consider a boundary value problem (BVP) modelling one-dimensional heat-conduction with radiation, which is derived from the Stefan-Boltzmann law. The problem strongly depends on the parameters, making difficult to estimate the solution. We use an analytical approach to determine upper and lower bounds to the exact solution of the BVP, which allows estimating the latter. Finally, we support our theoretical arguments with numerical data, by implementing them into the MAPLE computer program.
Keywords
Cite
@article{arxiv.2311.04065,
title = {A Study of the One-Dimensional Heat-Conduction Equation with Radiation},
author = {Mihai Halic},
journal= {arXiv preprint arXiv:2311.04065},
year = {2024}
}