Electronic Resource
Springer
Theory of computing systems
21 (1989), S. 49-60
ISSN:
1433-0490
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
Notes:
Abstract The problem of determining the temperature at one end of a rod by means of interior temperature measurements has considerable practical importance and has been well studied, however, few exact solutions have been found. Most of the applicable results therefore, have been obtained from the (numerical) analysis of discretized systems. In this paper we present an analytic method for obtaining solutions to this problem which does not require differentiation (only integration) of the interior temperature readings and is valid for general finite energy boundary data and for general radiation boundary conditions at the known end of the rod.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02088005
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