@Article{cmes.2012.086.071, AUTHOR = {C. Shi, C. Wang, T. Wei,2}, TITLE = {Numerical Reconstruction of a Space-Dependent Heat Source Term in a Multi-Dimensional Heat Equation}, JOURNAL = {Computer Modeling in Engineering \& Sciences}, VOLUME = {86}, YEAR = {2012}, NUMBER = {2}, PAGES = {71--92}, URL = {http://www.techscience.com/CMES/v86n2/25858}, ISSN = {1526-1506}, 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 multi-dimensional 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 1D, 2D and 3D cases show that the proposed method is effective and feasible.}, DOI = {10.3970/cmes.2012.086.071} }