On a boundary value problem related to radiative heat transfer

Mihai Halic

On a boundary value problem related to radiative heat transfer

Numerical Analysis 2026-08-02 v1

Authors: Mihai Halic

Abstract

We consider the boundary value problem $y''=\kappa^2y^n, y(0)=1, y(1)=0,$ relevant to radiative heat transfer, chemical reactions, etc. We use upper/lower envelopes to study the qualitative and quantitative dependence of its solution on parameters, and transform it into an easily solvable initial value problem.

Keywords

boundary value problem radiative heat transfer upper/lower envelopes parameter dependence initial value problem

Cite

@article{arxiv.2608.01472,
  title  = {On a boundary value problem related to radiative heat transfer},
  author = {Mihai Halic},
  journal= {arXiv preprint arXiv:2608.01472},
  year   = {2026}
}