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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...
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...
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...