A Multiple Interval Chebyshev-Gauss-Lobatto Collocation Method for Multi-Order Fractional Differential Equations
Year: 2022
East Asian Journal on Applied Mathematics, Vol. 12 (2022), Iss. 3 : pp. 649–672
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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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.011221.110122
East Asian Journal on Applied Mathematics, Vol. 12 (2022), Iss. 3 : pp. 649–672
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 24
Keywords: Multi-order fractional differential equation Chebyshev-Gauss-Lobatto collocation method $hp$-version error bound.