This paper investigates the inverse problem of determining a spacewise dependent heat source in the parabolic heat equation using the usual conditions of the direct problem and information from a supplementary temperature measurement at a given single instant of time. The spacewise dependent tempera
A procedure for determining a spacewise dependent heat source and the initial temperature
โ Scribed by Johansson, B. Tomas; Lesnic, Daniel
- Book ID
- 121007910
- Publisher
- Taylor and Francis Group
- Year
- 2008
- Tongue
- English
- Weight
- 313 KB
- Volume
- 87
- Category
- Article
- ISSN
- 0003-6811
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๐ SIMILAR VOLUMES
In this paper an effective meshless and integration-free numerical scheme for solving an inverse spacewise-dependent heat source problem is proposed. Due to the use of the fundamental solution as basis functions, the method leads to a global approximation scheme in both spatial and time domains. The
An inverse problem for the determination of an unknown spacewise-dependent coefficient in a parabolic equation is considered. The problem is reformulated as a nonclassical parabolic equation along with the initial and boundary conditions. The iterative fixed point projection method is applied to sol