TY  - EJOU
AU  - Hu, Y. 
AU  - Wei, T. 

TI  - Determination of an Unknown Heat Source Term from Boundary Data
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2012
VL  - 87
IS  - 4
SN  - 1526-1506

AB  - 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.
KW  - Method of fundamental solutions; Inverse heat source; Inverse initial problem

DO  - 10.3970/cmes.2012.087.307