Modulating functions method for parameters estimation in the fifth order KdV equation

Handle URI:
http://hdl.handle.net/10754/625702
Title:
Modulating functions method for parameters estimation in the fifth order KdV equation
Authors:
Asiri, Sharefa M. ( 0000-0001-9602-9462 ) ; Liu, Da-Yan; Laleg-Kirati, Taous-Meriem ( 0000-0001-5944-0121 )
Abstract:
In this work, the modulating functions method is proposed for estimating coefficients in higher-order nonlinear partial differential equation which is the fifth order Kortewegde Vries (KdV) equation. The proposed method transforms the problem into a system of linear algebraic equations of the unknowns. The statistical properties of the modulating functions solution are described in this paper. In addition, guidelines for choosing the number of modulating functions, which is an important design parameter, are provided. The effectiveness and robustness of the proposed method are shown through numerical simulations in both noise-free and noisy cases.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Asiri S, Liu D-Y, Laleg-Kirati T-M (2017) Modulating functions method for parameters estimation in the fifth order KdV equation. 2017 25th Mediterranean Conference on Control and Automation (MED). Available: http://dx.doi.org/10.1109/MED.2017.7984091.
Publisher:
IEEE
Journal:
2017 25th Mediterranean Conference on Control and Automation (MED)
Conference/Event name:
25th Mediterranean Conference on Control and Automation, MED 2017
Issue Date:
25-Jul-2017
DOI:
10.1109/MED.2017.7984091
Type:
Conference Paper
Sponsors:
Research reported in this publication was supported by King Abdullah University of Science and Technology (KAUST).
Additional Links:
http://ieeexplore.ieee.org/document/7984091/
Appears in Collections:
Conference Papers; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorAsiri, Sharefa M.en
dc.contributor.authorLiu, Da-Yanen
dc.contributor.authorLaleg-Kirati, Taous-Meriemen
dc.date.accessioned2017-10-03T12:49:35Z-
dc.date.available2017-10-03T12:49:35Z-
dc.date.issued2017-07-25en
dc.identifier.citationAsiri S, Liu D-Y, Laleg-Kirati T-M (2017) Modulating functions method for parameters estimation in the fifth order KdV equation. 2017 25th Mediterranean Conference on Control and Automation (MED). Available: http://dx.doi.org/10.1109/MED.2017.7984091.en
dc.identifier.doi10.1109/MED.2017.7984091en
dc.identifier.urihttp://hdl.handle.net/10754/625702-
dc.description.abstractIn this work, the modulating functions method is proposed for estimating coefficients in higher-order nonlinear partial differential equation which is the fifth order Kortewegde Vries (KdV) equation. The proposed method transforms the problem into a system of linear algebraic equations of the unknowns. The statistical properties of the modulating functions solution are described in this paper. In addition, guidelines for choosing the number of modulating functions, which is an important design parameter, are provided. The effectiveness and robustness of the proposed method are shown through numerical simulations in both noise-free and noisy cases.en
dc.description.sponsorshipResearch reported in this publication was supported by King Abdullah University of Science and Technology (KAUST).en
dc.publisherIEEEen
dc.relation.urlhttp://ieeexplore.ieee.org/document/7984091/en
dc.subjectDifferential equationsen
dc.subjectEstimationen
dc.subjectHandheld computersen
dc.subjectMathematical modelen
dc.subjectNoise measurementen
dc.subjectParameter estimationen
dc.subjectRobustnessen
dc.titleModulating functions method for parameters estimation in the fifth order KdV equationen
dc.typeConference Paperen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journal2017 25th Mediterranean Conference on Control and Automation (MED)en
dc.conference.date2017-07-03 to 2017-07-06en
dc.conference.name25th Mediterranean Conference on Control and Automation, MED 2017en
dc.conference.locationValletta, MLTen
dc.contributor.institutionINSA Centre Val de Loire, Universit´e d’Orl´eans, PRISME EA 4229, Bourges Cedex 18022, Franceen
kaust.authorAsiri, Sharefa M.en
kaust.authorLaleg-Kirati, Taous-Meriemen
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