Stefan problems for the diffusion–convection equation with temperature-dependent thermal coefficients

J Bollati, AC Briozzo - International Journal of Non-Linear Mechanics, 2021 - Elsevier
Different one-phase Stefan problems for a semi-infinite slab are considered, involving a
moving phase change material as well as temperature dependent thermal coefficients …

Numerical simulation of a non-classical moving boundary problem with control function and generalized latent heat as a function of moving interface

Jitendra, V Chaurasiya, KN Rai… - … für Naturforschung A, 2023 - degruyter.com
In this paper, the work is concerned with the study of moving boundary based on non-
classical heat equation that includes a time dependent heat flux and convection. The latent …

Wavelet based numerical approach of non-classical moving boundary problem with convection effect and variable latent heat under the most generalized boundary …

KN Rai, J Singh - European Journal of Mechanics-B/Fluids, 2021 - Elsevier
The major goal of this article is to analysis a mathematical model of a non-classical one-
dimensional moving boundary problem in the presence of convection effect when one …

Non-classical Stefan problem with nonlinear thermal coefficients and a Robin boundary condition

AC Briozzo, MF Natale - Nonlinear Analysis: Real World Applications, 2019 - Elsevier
A non-classical one dimensional Stefan problem with thermal coefficients temperature
dependent and a Robin type condition at fixed face x= 0 for a semi-infinite material is …

A Nonclassical Stefan Problem with Nonlinear Thermal Parameters of General Order and Heat Source Term

A Khanfer, L Bougoffa, S Bougouffa - Axioms, 2023 - mdpi.com
The analytic solution for a general form of the Stefan problem with nonlinear temperature-
dependent thermal parameters and a heat source the term is obtained. We prove the …

Non-classical two-phase Stefan problem with variable thermal coefficients

J Bollati, AC Briozzo - Journal of Mathematical Analysis and Applications, 2024 - Elsevier
We study a one-dimensional two-phase Stefan problem governed by diffusion-convection
equations with a Dirichlet boundary condition at the fixed face, variable thermal coefficients …

Explicit solutions for a non-classical heat conduction problem for a semi-infinite strip with a non-uniform heat source

AN Ceretani, DA Tarzia, LT Villa - Boundary Value Problems, 2015 - Springer
A non-classical initial and boundary value problem for a non-homogeneous one-
dimensional heat equation for a semi-infinite material with a zero temperature boundary …

Explicit solution for non-classical one-phase Stefan problem with variable thermal coefficients and two different heat source terms

J Bollati, MF Natale, JA Semitiel, DA Tarzia - arXiv preprint arXiv …, 2022 - arxiv.org
A one-phase Stefan problem for a semi-infinite material is investigated for special functional
forms of the thermal conductivity and specific heat depending on the temperature of the …