Legendre Collocation Solution to Fractional Ordinary Differential Equations

Ting Gang Zhao, Zi Lang Zhan, Jin Xia Huo, Zi Guang Yang
2014 Applied Mechanics and Materials  
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.
doi:10.4028/www.scientific.net/amm.687-691.601 fatcat:h5kum7okqbb7rfk332pgi7u45q