@Article{cmes.2012.087.307,
AUTHOR = {Y. Hu, T. Wei},
TITLE = {Determination of an Unknown Heat Source Term from Boundary Data},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {87},
YEAR = {2012},
NUMBER = {4},
PAGES = {307--326},
URL = {http://www.techscience.com/CMES/v87n4/26836},
ISSN = {1526-1506},
ABSTRACT = {This paper employ the method of fundamental solutions for determining an unknown heat source term in a heat equation from overspecified boundary measurement data. By a function transformation, the inverse source problem is changed into an inverse initial data problem which is solved by a method of fundamental solutions. The standard Tikhonov regularization technique with the generalized cross-validation criterion for choosing the regularization parameter is adopted for solving the resulting ill-conditioned system of linear algebraic equations. The effectiveness of the algorithm is illustrated by five numerical examples in one-dimensional and two-dimensional cases.},
DOI = {10.3970/cmes.2012.087.307}
}