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The method of fundamental solutions for the inverse space-dependent heat source problem. (English) Zbl 1180.80054
Summary: In this study, the inverse heat source problem in which the heat source is space-dependent is treated. The method proposed in L. Yan et al. [The method of fundamental solutions for the inverse heat source problem. Eng. Anal. Boundary Elem. 32, 216–222 (2008; doi:10.1016/j.enganabound.2007.08.002)] where the heat source is considered to be only time-dependent, is modified so that it can be applied to only space-dependent problems. We have used a new transformation to simplify the problem.

80A23 Inverse problems in thermodynamics and heat transfer
35R30 Inverse problems for PDEs
58J35 Heat and other parabolic equation methods for PDEs on manifolds
58J90 Applications of PDEs on manifolds
Full Text: DOI
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