Mihai Halic

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math.NA2026

On a boundary value problem related to radiative heat transfer

Mihai Halic

We consider the boundary value problem $y^{''} = κ^{2} y^{n}, y (0) = 1, y (1) = 0,$ relevant to radiative heat transfer, chemical reactions, etc. We use upper/lower envelopes to study the qualita…

math.NA2026

An analytical-numerical approach to the Emden-Fowler equation

Mihai Halic

We investigate the Emden-Fowler equation $u^{''} = - x^{r} u^{p}, u (0) = 1, u^{'} (0) = 0$ , with roots in astrophysics, and study the qualitative and quantitative dependence of its solution on the pa…

math.NA2023

A Study of the One-Dimensional Heat-Conduction Equation with Radiation

Mihai Halic

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…