This paper investigates the numerical solution of a class of one-dimensional inverse parabolic problems using the moving least squares approximation; the inverse problem is the determination of an unknown source term depending on time. The collocation method is used for solving the equation; some numerical experiments are presented and discussed to illustrate the stability and high efficiency of the method.
"Moving Least Squares Method for a One-Dimensional Parabolic Inverse Problem." Abstr. Appl. Anal. 2014 1 - 12, 2014. https://doi.org/10.1155/2014/686020