Nonlinear parabolic problems

Nonlinear Analysis, Theory, Methods and Applications

Volumn 30, Issue 8, 1997, Pages 4823-4832

  Shidfar, Abdullah ^a   Azary, Hossein ^a  

^a IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Iran)

Author keywords

Heat equation; Inverse problem; Numerical solution; Overspecified condition; Radiation terms

Indexed keywords

EID: 0042728148     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(96)00365-3     Document Type: Article

References (7)

1. CANNON J.R., "The One-Dimensional Heat Equation", Addison-Wesely Co. Menlo park, California, 1984.
2. CANNON J.R. & ZACHMANN D., "Parameter determination in parabolic differential equations from overspecified boundary data", Int. J. Engng. Sci. 20(1982), 779-788.
3. CANNON J.R. & DUCHATEAU P., "An inverse problem for a non-linear diffusion equation", SIAM J. Appl. Math., 39 (1980), 272-289.
4. CANNON J.R. & DUCHATEAU P., "Determining unknown coefficients in a nonlinear conduction problem", SIAM J. Appl. Math., 24(1973), 298-314.
5. FRIEDMAN A., "Partial Differential Equations of Parabolic Type,", Prentice-Hall, Englewood Cliffs. NJ, 1964.
6. SHIDFAR A., "Determination of an unknown radiation term in a heat conduction problem", Differential and Integral Equations, 3 (1990), 1225-1229.
7. SHIDFAR A., ESRAFILIAN E. & AZARY H., An inverse problem with unknown radiation term, Journal of Sciences I.R.Iran. 6(4), (1995), 247-249.