Modulating functions method for parameters estimation in the fifth order KdV equation
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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.
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.
SponsorsResearch reported in this publication was supported by King Abdullah University of Science and Technology (KAUST).
Conference/Event name25th Mediterranean Conference on Control and Automation, MED 2017