Legendre Collocation Solution to Fractional Ordinary Differential Equations

Abstract:

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.

• Periodical: Applied Mechanics and Materials (Volumes 687-691)
• Pages: 601-605
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.687-691.601
• Online since: November 2014
• Authors: Ting Gang Zhao*, Zi Lang Zhan, Jin Xia Huo, Zi Guang Yang
• Keywords: Caputo Sense, Fractional Ordinary Differential Equation, Legendre Collocation

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