A Multiple Interval Chebyshev-Gauss-Lobatto Collocation Method for Multi-Order Fractional Differential Equations

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Abstract

A multiple interval Chebyshev-Gauss-Lobatto collocation method for solving multi-order fractional differential equations is proposed. The $hp$-version error estimates of the Chebyshev spectral collocation method are obtained in $L^2$- and $L^∞$-norms. Numerical experiments illustrate the theoretical results.

Keywords:

Multi-order fractional differential equation Chebyshev-Gauss-Lobatto collocation method $hp$-version error bound.
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DOI

10.4208/eajam.011221.110122