Modulating functions method for parameters estimation in the fifth order KdV equation
Type
Conference PaperKAUST Department
Applied Mathematics and Computational Science ProgramComputational Bioscience Research Center (CBRC)
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Electrical Engineering Program
Date
2017-07-25Online Publication Date
2017-07-25Print Publication Date
2017-07Permanent link to this record
http://hdl.handle.net/10754/625702
Metadata
Show full item recordAbstract
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.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.Sponsors
Research reported in this publication was supported by King Abdullah University of Science and Technology (KAUST).Conference/Event name
25th Mediterranean Conference on Control and Automation, MED 2017Additional Links
http://ieeexplore.ieee.org/document/7984091/ae974a485f413a2113503eed53cd6c53
10.1109/MED.2017.7984091