4 papers
Two-phase source and reaction coefficient Stefan type problems
Targyn A. Nauryz
This paper investigates inverse two-phase Stefan-type problems for parabolic heat equations with unknown time-dependent source and reaction coefficients. Suitable transformations r…
Lie symmetry analysis of the nonlinear generalized heat equation for varying cross-section geometry
Targyn A. Nauryz
We study the nonlinear generalized heat equation , where and are temperature-dependent thermal coefficients and $ν>…
Inverse Stefan problems of determining the time-dependent source coefficient and heat flux function
Targyn A. Nauryz, Khumoyun Jabbarkhanov
This paper delves into the Inverse Stefan problem, specifically focusing on determining the time-dependent source coefficient in the parabolic heat equation governing heat transfer…
A collocation heat polynomials method for one-dimensional inverse Stefan problems
Orazbek Narbek, Samat A. Kassabek, Targyn Nauryz
The inverse one-phase Stefan problem in one dimension, aimed at identifying the unknown time-dependent heat flux P(t) with a known moving boundary position s(t), is investigated. A…