@Article{EAJAM-8-233,
author = {Zhong-Qing Wang, Chang-Tao Sheng, Hong-Li Jia and Dao Li},
title = {A Chebyshev Spectral Collocation Method for Nonlinear Volterra Integral Equations with Vanishing Delays},
journal = {East Asian Journal on Applied Mathematics},
year = {2018},
volume = {8},
number = {2},
pages = {233--260},
abstract = {
A multistep Chebyshev-Gauss-Lobatto spectral collocation method for
nonlinear Volterra integral equations with vanishing delays is developed. The convergence
of the hp-version of the method in supremum norm is proved. Numerical experiments
show the efficiency of the method for equations with highly oscillating, steep
gradient and non-smooth solutions.
},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.130416.071217a},
url = {http://global-sci.org/intro/article_detail/eajam/12203.html}
}
TY - JOUR
T1 - A Chebyshev Spectral Collocation Method for Nonlinear Volterra Integral Equations with Vanishing Delays
AU - Zhong-Qing Wang, Chang-Tao Sheng, Hong-Li Jia & Dao Li
JO - East Asian Journal on Applied Mathematics
VL - 2
SP - 233
EP - 260
PY - 2018
DA - 2018/05
SN - 8
DO - http://doi.org/10.4208/eajam.130416.071217a
UR - https://global-sci.org/intro/article_detail/eajam/12203.html
KW - Multistep Chebyshev-Gauss-Lobatto spectral collocation method, nonlinear Volterra integral equation, vanishing variable delay.
AB -
A multistep Chebyshev-Gauss-Lobatto spectral collocation method for
nonlinear Volterra integral equations with vanishing delays is developed. The convergence
of the hp-version of the method in supremum norm is proved. Numerical experiments
show the efficiency of the method for equations with highly oscillating, steep
gradient and non-smooth solutions.
Zhong-Qing Wang, Chang-Tao Sheng, Hong-Li Jia and Dao Li. (2018). A Chebyshev Spectral Collocation Method for Nonlinear Volterra Integral Equations with Vanishing Delays.
East Asian Journal on Applied Mathematics. 8 (2).
233-260.
doi:10.4208/eajam.130416.071217a
