@Article{EAJAM-8-233, author = {}, 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} }