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

Authors

  • Shan Li, Guilei Sun, Yuling Guo & Zhongqing Wang

DOI:

https://doi.org/10.4208/eajam.011221.110122

Keywords:

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

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.

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Published

2022-04-06

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Issue

Vol. 12 No. 3 (2022)

Section

Articles