Regularization of an inverse two-phase Stefan problem

Nonlinear Analysis, Theory, Methods and Applications

Volumn 34, Issue 5, 1998, Pages 719-731

  Ang, D D ^b   Pham Ngoc Dinh, A ^a   Thanh, D N ^b  

^a URA 1803   (France)

^b NONE

Author keywords

Convolution equation; Numerical results; Regularized solution, error estimates; System of linear Volterra integral equations

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; CALCULATIONS; INTEGRAL EQUATIONS; LINEAR EQUATIONS; NUMERICAL METHODS; THEOREM PROVING;

CONVOLUTION EQUATION; GAUSS-NEWTON METHOD; INVERSE STEFAN PROBLEM; LINEAR VOLTERRA INTEGRAL EQUATION;

INVERSE PROBLEMS;

EID: 0032349945     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(97)00610-X     Document Type: Article

References (7)

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2. P. Jochum, The numerical solution of the inverse Stefan problem, Numer. Math. 34 (1980) 411-429.
3. M. Niezgodka, Some properties of two-phase parabolic free boundary value control problems, Control Cybernetics, 8 (1979) 23-42.
4. M. Niezgodka, Control of parabolic systems with free boundaries, Appplication of inverse formulations. Control Cybernetics, 8 (1979) 213-225.
5. D.D. Ang, N.D. Pham, D.N. Thanh, Regularization of an inverse Stefan problem, Differ. Integr. Equat. 9 (1996) 371-380.
6. A. Friedman, Partial Differential Equations of Parabolic Type, Prentice Hall, Englewood Cliffs, NJ, 1964.
7. A. Erdelyi et al., Tables of Integral Transforms, Vol. 1, McGraw-Hill, 1954.