Determination of unknown term in a heat equation

Arabian Journal for Science and Engineering

Volumn 22, Issue 2C, 1997, Pages 149-157

  Wang, Ping ^a,c   Zheng, Kewang ^b  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

^b Hebei Institute of Light Industry and Chemical Technology   (China)

^c NONE   (United States)

Author keywords

Heat equation; Inverse problem; Regularization

Indexed keywords

EID: 0010851007     PISSN: 2193567X     EISSN: 21914281     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. J. R. Cannon and D. Zachmann, "Parameter Determination in Parabolic Partial Differential Equations from Over-specified Boundary Data", International Journal of Engineering, 20(6) (1982), pp. 779-788.
2. P. Wang and K. Zheng, "Numerical Approximation of an Unknown Boundary Term in a Heat Equation", Neural, Parallel & Scientific Computation, 2(4) (1994), pp. 451-458.
3. A. N. Tikhonov and V. Y. Arsenin, Solution of Ill-Posed Problems. New York: John Wiley & Sons, 1977.
4. J. R. Cannon and Y. Lin, "An Inverse Problem of Finding a Parameter in a Semi-Linear Heat Equation", Journal of Math. Anal. Appl., 145(2) (1990), pp. 470-484.
5. I. Maloyshev, "An Inverse Source Problem for the Heat Equation", Journal of Math. Anal. Appl., 142(1) (1989), pp. 206-218.
6. K. Mohseni, "Determination of an Unknown Radiation Term in an Inverse Problem of the Heat Equation", Intern. Comm. in Heat and Mass Trans., 17(6) (1990), pp. 393-398.
7. L. Preziosi, "An Inverse "Source-Sink" Problem for the Nonlinear Heat Equation", Mathematical and Computer Modelling, 17(7) (1993), pp. 167-182.
8. A. Yu. Shcheglov, "A Method for the Approximate Solution of an Inverse Problem for the Heat-Conduction Equation", Comp. Math. and Math. Phys., 32(6) (1992), pp. 904-916.