Determination of one unknown coefficient in a two-phase free boundary problem in an angular domain with variable thermal conductivity and specific heat

J Bollati, MF Natale, JA Semitiel, DA Tarzia - Journal of Mathematical …, 2024 - Elsevier
Two different two-phase free boundary Stefan problems in an angular domain with
temperature-dependent thermal coefficients are considered. Analytical similarity solutions …

[HTML][HTML] Exploring variable coefficient models: Insights into nonlinear wave behavior and soliton solutions in physical systems

MA Kawser, MA Akbar, MA Khan - Results in Physics, 2024 - Elsevier
Abstract The KdV-Burgers equation, featuring time-varying coefficients is a fundamental
equation in the domain of wave propagation for wave propagation, dispersion, and …

[PDF][PDF] A two-phase Stefan problem with power-type temperature-dependent thermal conductivity. Existence of a solution by two fixed points and numerical results

J Bollati, MF Natale, JA Semitiel, DA Tarzia - AIMS Mathematics, 2024 - aimspress.com
A one-dimensional two-phase Stefan problem for the melting of a semi-infinite material with
a power-type temperature-dependent thermal conductivity was considered. The assumption …

[HTML][HTML] An Analysis of the One-Phase Stefan Problem with Variable Thermal Coefficients of Order p

L Bougoffa, S Bougouffa, A Khanfer - Axioms, 2023 - mdpi.com
Approximate solutions are obtained in implicit forms for the following general form of the
nonlinear Stefan problem ddx (1+ δ 1 yp) dydx+ 2 x (1+ δ 2 yp) dydx= 4 S te β (x), 0< x< λ …

[HTML][HTML] 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 …