@Article{EAJAM-12-649,
author = {Shan Li, Guilei Sun, Yuling Guo and Zhongqing Wang},
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
AU - Shan Li, Guilei Sun, Yuling Guo & Zhongqing Wang
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 and 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