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- W54878586 abstract "In this paper, we consider a typical ill-posed inverse heat source problem, that is, we determine a space-dependent heat source term in a multidimensional heat equation from a pair of Cauchy data on a part of boundary. By a simple transformation, the inverse heat source problem is changed into a Cauchy problem of a homogenous heat conduction equation. We use the method of fundamental solutions (MFS) coupled with the Tikhonov regularization technique to solve the ill-conditioned linear system of equations resulted from the MFS discretization. The generalized cross-validation rule for determining the regularization parameter is used. Numerical results for four examples in ID, 2D and 3D cases show that the proposed method is effective and feasible." @default.
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- W54878586 date "2012-07-01" @default.
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- W54878586 title "Numerical Reconstruction of a Space-Dependent Heat Source Term in a Multi-Dimensional Heat Equation" @default.
- W54878586 doi "https://doi.org/10.3970/cmes.2012.086.071" @default.
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