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Journal Articles International Journal of Applied and Computational Mathematics Year : 2024

Parameter Identification of Fractional Order Partial Differential Equation Model Based on Polynomial–Fourier Method

Abstract

Parameter identification plays a crucial role in the study of dynamics for fractional order structural models. This article introduces an innovative approach to identify parameters by employing an approximation. The approximation which is a function of the parameters combines the polynomial and Fourier terms. In the method proposed in this paper, this approximation is based on a least square method. An identification process is then derived, comparing the developed approximation to the measurements. The optimal parameters of the model are then extracted easily through the minimization of a cost function. Numerical examples showcased in this study affirm the viability of this proposed method for successful identification.
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Sunday, February 22, 2026
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hal-04473559 , version 1 (22-02-2024)

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Cundi Han, Quentin Serra, Hélène Laurent, Éric Florentin. Parameter Identification of Fractional Order Partial Differential Equation Model Based on Polynomial–Fourier Method. International Journal of Applied and Computational Mathematics , 2024, 10 (2), pp.44. ⟨10.1007/s40819-024-01682-z⟩. ⟨hal-04473559⟩
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