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dc.contributor.authorAsiri, Sharefa M.
dc.contributor.authorLaleg-Kirati, Taous-Meriem
dc.date.accessioned2017-01-02T09:28:30Z
dc.date.available2017-01-02T09:28:30Z
dc.date.issued2016-10-20
dc.identifier.citationAsiri S, Laleg-Kirati T-M (2016) Modulating functions-based method for parameters and source estimation in one-dimensional partial differential equations. Inverse Problems in Science and Engineering: 1–25. Available: http://dx.doi.org/10.1080/17415977.2016.1240793.
dc.identifier.issn1741-5977
dc.identifier.issn1741-5985
dc.identifier.doi10.1080/17415977.2016.1240793
dc.identifier.urihttp://hdl.handle.net/10754/622431
dc.description.abstractIn this paper, modulating functions-based method is proposed for estimating space–time-dependent unknowns in one-dimensional partial differential equations. The proposed method simplifies the problem into a system of algebraic equations linear in unknown parameters. The well-posedness of the modulating functions-based solution is proved. The wave and the fifth-order KdV equations are used as examples to show the effectiveness of the proposed method in both noise-free and noisy cases.
dc.description.sponsorshipResearch reported in this publication was supported by King Abdullah University of Science and Technology (KAUST).
dc.publisherInforma UK Limited
dc.relation.urlhttp://www.tandfonline.com/doi/full/10.1080/17415977.2016.1240793
dc.subjectInverse problem
dc.subjectparameter estimation
dc.subjectsource estimation
dc.subjectjoint estimation
dc.subject1D-PDE
dc.subjectmodulating functions
dc.titleModulating functions-based method for parameters and source estimation in one-dimensional partial differential equations
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputational Bioscience Research Center (CBRC)
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentElectrical Engineering Program
dc.identifier.journalInverse Problems in Science and Engineering
dc.identifier.arxividarXiv:1601.02645
kaust.personAsiri, Sharefa M.
kaust.personLaleg-Kirati, Taous-Meriem
dc.date.published-online2016-10-20
dc.date.published-print2017-08-03


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