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The Boundary Element Method for the Solution of the Backward Heat Conduction Equation

✍ Scribed by H. Han; D.B. Ingham; Y. Yuan

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 384 KB
Volume: 116
Category: Article
ISSN: 0021-9991
DOI: 10.1006/jcph.1995.1028

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✦ Synopsis

In this paper we consider the numerical solution of the one-dimensional, unsteady heat conduction equation in which Dirichlet boundary conditions are specified at two space locations and the temperature distribution at a particular time, say (T_{0}), is given. The temperature distribution for all times, (t<T_{0}), is now required and this backward heat conduction problem is a well-known improperly posed problem. In order to solve this problem the minimal energy technique has been introduced in order to modify the boundary element method and this results in a stable approximation to the solution and the accuracy of the numerical results are very encouraging. 1995 Academic Press, Inc.

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