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Quasi-Reversibility Regularization Method for Solving a Backward Heat Conduction Problem
Back Heat Conduction Ill-Posed Problem Quasi-Reversibility Regularization
2013/1/30
Non-standard backward heat conduction problem is ill-posed in the sense that the solution(if it exists) does not depend continuously on the data. In this paper, we propose a regularization strategy-qu...
Normal heat conduction in 1-dimensional momentum-conserved lattices of asymmetric interactions
Normal heat conduction asymmetric interactions 1-dimensional momentum-conserved lattices
2011/8/17
Abstract: We numerically investigate the heat conduction behavior of one-dimensional momentum-conserved lattice systems with {\it asymmetric} interactions. The heat conductivity is measured by couplin...
Heat conduction in relativistic systems: alternatives and perspectives
Heat conduction relativistic systems
2010/12/20
Does a moving body appear cold? This remarkably simple question, raised by the late Professor P. T. Landsberg some forty years ago, highlights a profound missing link in our current understanding of c...
Heat conduction: a telegraph-type model with self-similar behavior of solutions II
Heat conduction telegraph-type model self-similar behavior of solutions II
2010/12/15
In our former study (J. Phys. A: Math. Theor. 43, (2010) 325210 or arXiv:1002.0999v1 [math-
ph]) we introduced a modified Fourier-Cattaneo law and derived a non-autonomous telegraph-type
heat conduc...
Analytical solution for the time-fractional heat conduction equation in spherical coordinate system by the method of variable separation
Fractional Fourier law Fractional heat conduction equation Spherical coordinate system The separation of variables Mittag–Leffler function
2012/2/28
In this paper, using the fractional Fourier law,we obtain the fractional heat conduction equation with a time-fractional derivative in the spherical coordinate system. The method of variable separatio...
Fourth-order accurate simplified coupled characteristics-based schemes for the hyperbolic heat conduction equations
hyperbolic heat conduction equations numerical method of characteristics
2010/9/10
Roe and Arora [1] derived a fourth-order accurate coupled characteristicsbased scheme for the hyperbolic heat conduction equations (mistakenly concluding that it was only third-order accurate [2]) by ...
Characteristics-based schemes for the hyperbolic heat conduction equations
hyperbolic heat conduction equations numerical method of characteristics
2010/9/15
In [1], we derived and studied three fourth-order accurate characteristicsbased schemes with unit Courant number for the hyperbolic heat conduction equations. Herein, we extend these schemes to Couran...
A Self-similar Flow Behind a Shock Wave in a Gravitating or Non-gravitating Gas with Heat Conduction and Radiation Heat-flux
Shock wave self-similar flow self-gravitational effects heat transfer effects variable initial density variable total energy
2010/9/15
The propagation of a spherical shock wave in an ideal gas with heat conduction and radiation heat-flux, and with or without self-gravitational effects, is investigated. The initial density of the gas ...