TY - GEN
T1 - The determination of an unknown source for a space fractional advection dispersion equation
AU - Aldoghaither, Abeer
AU - Laleg-Kirati, Taous-Meriem
AU - Liu, Dayan
N1 - KAUST Repository Item: Exported on 2020-10-01
PY - 2014/9
Y1 - 2014/9
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/564977
UR - http://arxiv.org/abs/arXiv:1401.3153v1
UR - http://www.scopus.com/inward/record.url?scp=84911952750&partnerID=8YFLogxK
U2 - 10.1109/MESA.2014.6935590
DO - 10.1109/MESA.2014.6935590
M3 - Conference contribution
SN - 9781479922802
BT - 2014 IEEE/ASME 10th International Conference on Mechatronic and Embedded Systems and Applications (MESA)
PB - Institute of Electrical and Electronics Engineers (IEEE)
ER -