The Decomposition Approach to Inverse Heat Conduction

Journal of Mathematical Analysis and Applications

Volumn 232, Issue 1, 1999, Pages 82-98

  Lesnic, D ^a   Elliott, L ^a  

^a UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0005001094     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1998.6243     Document Type: Article

References (16)

1. Adomian G. Stochastic Systems. 1983;Academic Press, London.
2. Bellman R. E., Adomian G. Partial Differential Equations - New Methods for their Treatment and Solution. 1984;Reidel, Dordrecht.
3. Adomian G. Nonlinear Stochastic Operator Equations. 1986;Academic Press, London.
4. Adomian G. Solving Frontier Problems of Physics: The Decomposition Method. 1994;Kluwer Academic, Dordrecht.
5. Adomian G. Modification of the decomposition approach to the heat equation. J. Math. Anal. Appl. 124:1987;290-291.
6. Adomian G. A new approach to the heat equation - An application of the decomposition method. J. Math. Anal. Appl. 113:1986;202-209.
7. Beck J. V., Blackwell B., St-Clair C. R. Jr. Inverse Heat Conduction. 1985;Wiley, New York.
8. Adomian G. Convergent series solution of nonlinear equations. J. Comput. Appl. Math. 2:1984;225-230.
9. Burggraf O. R. An exact solution of the inverse problem in heat conduction theory and applications. J. Heat Transfer. 86C:1964;373-382.
10. Langford D. New analytic solutions of the one-dimensional heat equation for temperature and heat flow rate both prescribed at the same fixed boundary (with applications to the phase change problem). Quart. Appl. Math. 24:1966;315-322.
11. Hill D. C. Parabolic equations in one space variable and the non-characteristic Cauchy problem. Commun. Pure Appl. Math. 20:1967;619-633.
12. Cannon J. R. The One-Dimensional Heat Equation. 1984;Addison-Wesley, Reading.
13. Murio D. A. The Mollification Method and the Numerical Solution of Ill-Posed Problems. 1993;Wiley, New York.
14. Erdelyi A. Higher Transcendental Functions. 1953;McGraw-Hill, New York.
15. Adomian G. Solving frontier problems modelled by nonlinear partial differential equations. Computers Math. Appl. 22:1991;91-94.
16. Datta B. K. A new approach to the wave equation - An application of the decomposition method. J. Math. Anal. Appl. 142:1989;6-12.