Investigation and regularization of the initial inverse problem in the two dimensional heat equation

International Journal of Heat and Technology

Volumn 23, Issue 2, 2005, Pages 37-42

  Masood, Khalid ^a  

^a KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS   (Saudi Arabia)

Author keywords

[No Author keywords available]

Indexed keywords

HEAT CONDUCTION; INVERSE PROBLEMS; TEMPERATURE DISTRIBUTION;

HEAT CONDUCTION MODEL; RECTANGULAR PLATES;

THERMAL CONDUCTIVITY;

EID: 29844450770     PISSN: 03928764     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

1. C. M. Bender and S. A. Orszag, Advanced Mathematical Methods for Scientists and Engineers, McGraw Hill, New York, 1978.
2. L. Elden, Inverse and Ill-Posed Problems, (H. W. Engl and C. W. Groetsch, eds.), Academic Press, Inc., pp. 345-350, 1987.
3. H. W. Engl, M. Hanke and A. Neubauer, Regularization of Inverse Problems, Kluwer, Dordrecht, pp. 31-42, 1996.
4. P. C. Hansen, Rank-Deficient and Discrete Ill-Posed Problems. Numerical Aspects of Linear Inversion, SIAM, 1997.
5. K. Masood, S. Messaoudi and F. D. Zaman, Initial Inverse Problem in Heat Equation with Bessel Operator, Int. Journal of Heat and Mass Transfer, 45(14), pp. 2959-2965, 2002.
6. K. Masood, S. Messaoudi and F. D. Zaman, Recovery and Regularization of the Initial Temperature Distribution in a Cylinder, Journal of Heat and Technology, 21(2), (2003) pp. 155-160.
7. C. F. Weber, Analysis and solution of the ill-posed problem for the heat conduction problem, International Journal of Heat and Mass Transfer 24, pp. 1783-1792, 1981.