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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.

MSC:
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
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