## Abstract The aim of this article is to study the parabolic inverse problem of determination of the leading coefficient in the heat equation with an extra condition at the terminal. After introducing a new variable, we reformulate the problem as a nonclassical parabolic equation along with the in
The solution of an inverse heat conduction problem subject to the specification of energies
โ Scribed by D. Lesnic; L. Elliott; D.B. Ingham
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 441 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0017-9310
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โฆ Synopsis
Abstrae~In this paper, the heat conduction equation subject to an initial condition and to the specification of the energies on two portions which partition a finite, one-dimensional slab, is investigated. Once this inverse heat conduction problem is shown to be well-posed, a boundary element method (BEM) is developed for finding the solution numerically. ~ 1997 Elsevier Science Ltd.
๐ SIMILAR VOLUMES
The solution we proposed for the inverse problem' is evaluated. The study is based on Raynaud and Beck's paper,2 which provides test cases and simulation results for some common numerical inverse methods.