Direct and inverse source problems for a space fractional advection dispersion equation
Type
ArticleKAUST Department
Applied Mathematics and Computational Science ProgramComputational Bioscience Research Center (CBRC)
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Electrical Engineering Program
Date
2016-05-15Online Publication Date
2016-05-15Print Publication Date
2017-01-01Permanent link to this record
http://hdl.handle.net/10754/623424
Metadata
Show full item recordAbstract
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.Citation
Aldoghaither A, Laleg-Kirati T-M, Liu D-Y (2017) Direct and inverse source problems for a space fractional advection dispersion equation. Journal of Inverse and Ill-posed Problems 25. Available: http://dx.doi.org/10.1515/jiip-2015-0037.Sponsors
Research reported in this publication is supported by the King Abdullah University of Science and Technology (KAUST).Publisher
Walter de Gruyter GmbHAdditional Links
https://www.degruyter.com/view/j/jiip.2017.25.issue-2/jiip-2015-0037/jiip-2015-0037.xmlae974a485f413a2113503eed53cd6c53
10.1515/jiip-2015-0037