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

Sharefa M. Asiri; Da-Yan Liu; Taous-Meriem Laleg-Kirati

doi:10.1109/MED.2017.7984091

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

Sharefa M. Asiri, Da-Yan Liu, Taous-Meriem Laleg-Kirati

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Scopus citations

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.

Original language	English (US)
Title of host publication	2017 25th Mediterranean Conference on Control and Automation (MED)
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	30-35
Number of pages	6
ISBN (Print)	9781509045334
DOIs	https://doi.org/10.1109/MED.2017.7984091
State	Published - Jul 25 2017

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: Research reported in this publication was supported by King Abdullah University of Science and Technology (KAUST).

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10.1109/MED.2017.7984091

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title = "Modulating functions method for parameters estimation in the fifth order KdV equation",

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.",

author = "Asiri, {Sharefa M.} and Da-Yan Liu and Taous-Meriem Laleg-Kirati",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: Research reported in this publication was supported by King Abdullah University of Science and Technology (KAUST).",

year = "2017",

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doi = "10.1109/MED.2017.7984091",

language = "English (US)",

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Modulating functions method for parameters estimation in the fifth order KdV equation. / Asiri, Sharefa M.; Liu, Da-Yan; Laleg-Kirati, Taous-Meriem.
2017 25th Mediterranean Conference on Control and Automation (MED). Institute of Electrical and Electronics Engineers (IEEE), 2017. p. 30-35.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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T1 - Modulating functions method for parameters estimation in the fifth order KdV equation

AU - Asiri, Sharefa M.

AU - Liu, Da-Yan

AU - Laleg-Kirati, Taous-Meriem

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: Research reported in this publication was supported by King Abdullah University of Science and Technology (KAUST).

PY - 2017/7/25

Y1 - 2017/7/25

N2 - 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.

AB - 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.

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DO - 10.1109/MED.2017.7984091

M3 - Conference contribution

SN - 9781509045334

SP - 30

EP - 35

BT - 2017 25th Mediterranean Conference on Control and Automation (MED)

PB - Institute of Electrical and Electronics Engineers (IEEE)

ER -

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

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