Numerical solution of inverse heat conduction problem with nonstationary measurements

Applied Mathematics and Computation

Volumn 168, Issue 1, 2005, Pages 540-548

  Shidfar, A ^a   Karamali, G R ^a  

^a IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Iran)

Author keywords

Direct and inverse heat conduction problem; Fundamental solution; Least squares method; Residual minimization

Indexed keywords

BOUNDARY CONDITIONS; HEAT FLUX; INVERSE PROBLEMS; LEAST SQUARES APPROXIMATIONS; OPTIMIZATION; PROBLEM SOLVING; TRANSIENTS;

DIRECT AND INVERSE HEAT CONDUCTION PROBLEM; FUNDAMENTAL SOLUTION; LEAST-SQUARES METHOD; RESIDUAL MINIMIZATION;

HEAT CONDUCTION;

EID: 25644451088     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.09.028     Document Type: Article

References (10)

1. D.D. Ang, A. Pham Ngoc Dinh, and D.N. Tanh An inverse stefan problem: Identification of boundary value Journal of Computational and Applied Mathematics 66 1985 75 84
2. D.D. Ang, A. Pham Ngoc Dinh, and D.N. Tanh Regularization of an inverse two-phase Stefan problem Nonlinear Analysis 34 1998 719 732
3. J.V. Beck, B. Blackwell, and C.R. St-Clair Inverse Heat Conduction Ill-Posed Problems 1985 John Wiley Int. Sc.
4. J.R. Cannon The One-Dimensional Heat Equation 1984 Addison-Wesley
5. J.R. Cannon On the existence on weak solution an the regularity of the free boundary to a one-dimensional two phase degenerate stefan problem Journal of Differential Equations 73 1988 104 118
6. J.I. Frankel Residual-minimization least-squares method for inverse heat conduction Computer and Mathematical Applications 32 4 1996 117 130
7. A. Friedman Partial Differential Equations of Parabolic Type 1964 Prentice-Hall Inc.
8. P. Kubicek Diffusion in multiphase system with nonstationary boundary Czechoslovak Journal of Physics 48 9 1998 1049 1065
9. A. Shidfar, and H. Azary An inverse problem for a nonlinear diffusion equation, nonlinear analysis Theory Methods and Applications 28 4 1997 589 593
10. V.A. Solonnikov, and A. Fasano A one-dimensional parabolic problem arising studies of some free boundary problems Journal of Mathematical Science 115 1 2003 2066 2075