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 proceedingConference contribution

1 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 languageEnglish (US)
Title of host publication2017 25th Mediterranean Conference on Control and Automation (MED)
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages30-35
Number of pages6
ISBN (Print)9781509045334
DOIs
StatePublished - Jul 25 2017

Fingerprint

Dive into the research topics of 'Modulating functions method for parameters estimation in the fifth order KdV equation'. Together they form a unique fingerprint.

Cite this