Legendre Collocation Solution to Fractional Ordinary Differential Equations

Legendre Collocation Solution to Fractional Ordinary Differential Equations

In this paper, we propose an efficient numerical method for ordinary differential equation with fractional order, based on Legendre-Gauss-Radau interpolation, which is easy to be implemented and possesses the spectral accuracy. We apply the proposed method to multi-order fractional ordinary differen...

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Veröffentlicht in:Applied Mechanics and Materials 2014-11, Vol.687-691 (Manufacturing Technology, Electronics, Computer and Information Technology Applications), p.601-605
Hauptverfasser: Zhao, Ting Gang, Yang, Zi Guang, Zhan, Zi Lang, Huo, Jin Xia
Format: Artikel
Sprache:eng
Schlagworte:
Accuracy
Collocation
Differential equations
Interpolation
Mathematical models
Numerical analysis
Spectra
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Beschreibung
Zusammenfassung:In this paper, we propose an efficient numerical method for ordinary differential equation with fractional order, based on Legendre-Gauss-Radau interpolation, which is easy to be implemented and possesses the spectral accuracy. We apply the proposed method to multi-order fractional ordinary differential equation. Numerical results demonstrate the effectiveness of the approach.
ISSN:1660-9336
1662-7482
1662-7482
DOI:10.4028/www.scientific.net/AMM.687-691.601