Direct and inverse source problems for a space fractional advection dispersion equation

Handle URI:
http://hdl.handle.net/10754/623424
Title:
Direct and inverse source problems for a space fractional advection dispersion equation
Authors:
Aldoghaither, Abeer ( 0000-0003-1729-8678 ) ; Laleg-Kirati, Taous-Meriem ( 0000-0001-5944-0121 ) ; Liu, Da Yan
Abstract:
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.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
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.
Publisher:
Walter de Gruyter GmbH
Journal:
Journal of Inverse and Ill-posed Problems
Issue Date:
15-May-2016
DOI:
10.1515/jiip-2015-0037
Type:
Article
ISSN:
0928-0219; 1569-3945
Sponsors:
Research reported in this publication is supported by the King Abdullah University of Science and Technology (KAUST).
Additional Links:
https://www.degruyter.com/view/j/jiip.2017.25.issue-2/jiip-2015-0037/jiip-2015-0037.xml
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorAldoghaither, Abeeren
dc.contributor.authorLaleg-Kirati, Taous-Meriemen
dc.contributor.authorLiu, Da Yanen
dc.date.accessioned2017-05-09T12:54:44Z-
dc.date.available2017-05-09T12:54:44Z-
dc.date.issued2016-05-15en
dc.identifier.citationAldoghaither 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.en
dc.identifier.issn0928-0219en
dc.identifier.issn1569-3945en
dc.identifier.doi10.1515/jiip-2015-0037en
dc.identifier.urihttp://hdl.handle.net/10754/623424-
dc.description.abstractIn 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.en
dc.description.sponsorshipResearch reported in this publication is supported by the King Abdullah University of Science and Technology (KAUST).en
dc.publisherWalter de Gruyter GmbHen
dc.relation.urlhttps://www.degruyter.com/view/j/jiip.2017.25.issue-2/jiip-2015-0037/jiip-2015-0037.xmlen
dc.subjectill-posednessen
dc.subjectinverse source problemen
dc.subjectSpace fractional advection dispersion equationen
dc.subjectTikhonoven
dc.titleDirect and inverse source problems for a space fractional advection dispersion equationen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalJournal of Inverse and Ill-posed Problemsen
dc.contributor.institutionINSA Centre Val de Loire, Université d'Orléans, Prisme Ea, Bourges, 4229, , Franceen
kaust.authorAldoghaither, Abeeren
kaust.authorLaleg-Kirati, Taous-Meriemen
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