A numerical technique for backward inverse heat conduction problems in one-dimensional space

Applied Mathematics and Computation

Volumn 171, Issue 2, 2005, Pages 1016-1024

  Shidfar, Abdollah ^a   Zakeri, Ali ^a  

^a IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Iran)

Author keywords

Finite difference method; Ill posed problem; Inverse heat conduction

Indexed keywords

FINITE DIFFERENCE METHOD; HEAT CONDUCTION; NUMERICAL ANALYSIS; PARAMETER ESTIMATION;

ILL-POSED PROBLEMS; INVERSE HEAT CONDUCTION;

INVERSE PROBLEMS;

EID: 31144463522     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2005.01.125     Document Type: Article

References (9)

1. E. Atkinson Kendal 1964 An Introduction to Numerical Analysis New York
2. J.V. Beck, and Ben Black Well Inverse heat conduction, Ill-posed problems 1985 Wiley Interscience New York
3. J.V. Beck, B. Blackwell, and A. Haji-Sheikh Comparison of some inverse heat conduction methods using experimental data Int. J. Heat Mass Transfer 39 17 1996 3649 3657
4. O.R. Burggraf An exact solution of the inverse problem in heat conduction theory and application J. Heat Transfer 86 1964 373 382
5. J.R. Cannon The One-Dimensional Heat Equation 1984 Addison-Wesley New York
6. D. Colton Analytic theory of partial differential equations 1980 Pitman Boston
7. Heinz W. Engle, Martin Hank, and Andreas Neubauer Regularization of inverse problems 1996 Kluwer Academic Publication
8. A. Shidfar, and A. Zakeri Asymptotic solution for an inverse parabolic problem Mathematica Balkanica 18 2004 475 483
9. Shih-Yu Shen A numerical study of inverse heat conduction problems Comput. Math. Appl. 38 1999 173 188