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 - <p style="text-align: justify;">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.</p>