Investigation of the Initial Inverse Problem in the Heat Equation

[+] Author and Article Information
Khalid Masood

Hafr Al-Batin Community College, King Fahd University of Petroleum and Minerals, P.O. Box 5087, Dhahran 31261, Saudi Arabia

F. D. Zaman

Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

J. Heat Transfer 126(2), 294-296 (May 04, 2004) (3 pages) doi:10.1115/1.1666886 History: Received May 15, 2002; Revised August 14, 2003; Online May 04, 2004
Copyright © 2004 by ASME
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Grahic Jump Location
Response of the classical heat model (12) in the case of noisy data with SNR=20 dB, N=3,m=2,T=1
Grahic Jump Location
Response of the damped model (19) in the case of noisy data with SNR=20 dB, N=3,m=2,T=1, ε=0.07
Grahic Jump Location
The case of noisy data with SNR=50 dB, N=3,m=2,T=1, and ε=0.04. The noisy data used in the heat conduction solution (12) is represented by the dotted line and in the damped wave solution (19) by the thin solid line and the noiseless temperature by the thick solid line.



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