TY - JOUR
T1 - Direct and inverse source problems for a space fractional advection dispersion equation
AU - Aldoghaither, Abeer
AU - Laleg-Kirati, Taous-Meriem
AU - Liu, Da Yan
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: Research reported in this publication is supported by the King Abdullah University of Science and Technology (KAUST).
PY - 2016/5/15
Y1 - 2016/5/15
N2 - In this paper, direct and inverse problems for a space fractional advection dispersion equation on a finite domain are studied. The inverse problem consists in determining the source term from final observations. We first derive the analytic solution to the direct problem which we use to prove the uniqueness and the unstability of the inverse source problem using final measurements. Finally, we illustrate the results with a numerical example.
AB - In this paper, direct and inverse problems for a space fractional advection dispersion equation on a finite domain are studied. The inverse problem consists in determining the source term from final observations. We first derive the analytic solution to the direct problem which we use to prove the uniqueness and the unstability of the inverse source problem using final measurements. Finally, we illustrate the results with a numerical example.
UR - http://hdl.handle.net/10754/623424
UR - https://www.degruyter.com/view/j/jiip.2017.25.issue-2/jiip-2015-0037/jiip-2015-0037.xml
UR - http://www.scopus.com/inward/record.url?scp=85016725339&partnerID=8YFLogxK
U2 - 10.1515/jiip-2015-0037
DO - 10.1515/jiip-2015-0037
M3 - Article
SN - 0928-0219
VL - 25
SP - 207
EP - 220
JO - Journal of Inverse and Ill-Posed Problems
JF - Journal of Inverse and Ill-Posed Problems
IS - 2
ER -