East Asian J. Appl. Math., 8 (2018), pp. 233-260.
Published online: 2018-05
Cited by
- BibTex
- RIS
- TXT
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} }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.