9 citations · 11 across the 9 of their papers we have counts for
9 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 …
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…
Mathematical modelling of heat transfer in closed electrical contacts and electrical potential field dynamics with Thomson effect
Targyn A. Nauryz, Stanislav N. Kharin, Adriana C. Briozzo +1
In this study we develop a mathematical model that describe the behavior of electromagnetic fields and heat transfer in closed electrical contacts that arises when instantaneous ex…
Mathematical model of thermal phenomena of closure electrical contact with Joule heat source and nonlinear thermal coefficients
Julieta Bollati, Adriana C. Briozzo, Stanislav N. Kharin +1
The mathematical model describing the dynamics of closed contact heating which involves vaporization of the metal when instantaneous explosion of micro-asperity occurs is presented…
Mathematical modeling of heat process in a cylindrical domain with nonlinear thermal coefficients and a heat source on the axis
Julieta Bollati, Adriana C. Briozzo, Stanislav N. Kharin +1
A mathematical model of the heat process in one-dimensional domain governed by a cylindrical heat equation with a heat source on the axis and nonlinear thermal coefficients i…
Nonlinear Stefan Problem for one-phase generalized heat equation with heat flux and convective boundary condition
T. A. Nauryz
In this article we consider a mathematical model of an initial stage of closure electrical contact that involves a metallic vaporization after instantaneous exploding of contact du…
Exact solution of an inverse spherical two phase Stefan problem
Merey M. Sarsengeldin, Abdullah S. Erdogan, Targyn A. Nauryz +1
In this paper, we represent the exact solution of a two phase inverse spherical Stefan problem, where along with unknown temperature functions heat flux function has to be determin…