In this paper, we are interested in the estimation of the source term for a space fractional advection dispersion equation using concentration and flux measurements at final time. An example of application is the identification of contamination source in groundwater transport. We propose to use the socalled modulating functions method which has been introduced for parameters estimation. This method allows to transfer the estimation problem into solving a system of algebraic equations. Numerical examples are given to illustrate the effectiveness and the robustness of the proposed method. Finally, a comparison between a Tikhonov-based optimization method and the modulating functions approach is presented.
|Original language||English (US)|
|Title of host publication||2014 IEEE/ASME 10th International Conference on Mechatronic and Embedded Systems and Applications (MESA)|
|Publisher||Institute of Electrical and Electronics Engineers (IEEE)|
|State||Published - Sep 2014|