scholarly journals Numerical Study of Superconducting-Tape Thermal Stability under the Effect of a Two-Dimensional Hyperbolic Heat Conduction Model

2004 ◽  
Vol 47 (1) ◽  
pp. 138-147 ◽  
Author(s):  
Mohammed Qassim AL-ODAT
Keyword(s):  
Thermal Stability ◽  
Heat Conduction ◽  
Numerical Study ◽  
Hyperbolic Heat Conduction ◽  
Two Dimensional ◽  
Conduction Model ◽  
Superconducting Tape ◽  
Heat Conduction Model

Overshooting Phenomenon in the Hyperbolic Heat Conduction Model

2003 ◽  
Vol 42 (Part 1, No. 8) ◽  
pp. 5383-5386 ◽  
Author(s):  
Mohammad Al-Nimr ◽  
Malak Naji ◽  
Salem Al-Wardat
Keyword(s):  
Heat Conduction ◽  
Hyperbolic Heat Conduction ◽  
Conduction Model ◽  
Heat Conduction Model

A smoothing spline-based regularization of the initial inverse problem in a two-dimensional heat equation

2008 ◽  
Vol 223 (2) ◽  
pp. 439-449 ◽  
Author(s):  
K Masood ◽  
M T Mustafa
Keyword(s):  
Inverse Problem ◽  
Heat Conduction ◽  
Temperature Distribution ◽  
Smoothing Splines ◽  
Smoothing Spline ◽  
Hyperbolic Heat Conduction ◽  
Parabolic Model ◽  
Initial Profile ◽  
Conduction Model ◽  
Heat Conduction Model

A smoothing spline-based method and a hyperbolic heat conduction model is applied to regularize the recovery of the initial profile from a parabolic heat conduction model in two-dimensions. An ill-posed inverse problem involving recovery of the initial temperature distribution from measurements of the final temperature distribution is investigated. A hyperbolic heat conduction model is considered instead of a parabolic model and smoothing splines are applied to regularize the recovered initial profile. The comparison of the proposed procedure and parabolic model is presented graphically by examples.

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