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Algebraically explicit analytical solution of three-dimensional hyperbolic heat conduction equation
Hyperbolic heat conduction Relaxation time
2010/11/25
In this paper, the three-dimensional hyperbolic effect subjected to a cosine heat flux boundary condition is carried out. Equations in rectangular coordinates are solved. Analytical solution with meth...
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...