Volume 12, Issue 3
A Multiple Interval Chebyshev-Gauss-Lobatto Collocation Method for Multi-Order Fractional Differential Equations

Shan Li, Guilei Sun, Yuling Guo & Zhongqing Wang

East Asian J. Appl. Math., 12 (2022), pp. 649-672.

Published online: 2022-04

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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.

  • AMS Subject Headings

34A08, 65N35, 41A10, 41A25

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-12-649, author = {}, title = {A Multiple Interval Chebyshev-Gauss-Lobatto Collocation Method for Multi-Order Fractional Differential Equations}, journal = {East Asian Journal on Applied Mathematics}, year = {2022}, volume = {12}, number = {3}, pages = {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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.011221.110122}, url = {http://global-sci.org/intro/article_detail/eajam/20412.html} }
TY - JOUR T1 - A Multiple Interval Chebyshev-Gauss-Lobatto Collocation Method for Multi-Order Fractional Differential Equations JO - East Asian Journal on Applied Mathematics VL - 3 SP - 649 EP - 672 PY - 2022 DA - 2022/04 SN - 12 DO - http://doi.org/10.4208/eajam.011221.110122 UR - https://global-sci.org/intro/article_detail/eajam/20412.html KW - Multi-order fractional differential equation, Chebyshev-Gauss-Lobatto collocation method, $hp$-version error bound. AB -

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.

Shan Li, Guilei Sun, Yuling Guo & Zhongqing Wang. (2022). A Multiple Interval Chebyshev-Gauss-Lobatto Collocation Method for Multi-Order Fractional Differential Equations. East Asian Journal on Applied Mathematics. 12 (3). 649-672. doi:10.4208/eajam.011221.110122
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