@Article{NMTMA-12-969,
author = {Hongli Jia, Yang Yang and Zhongqing Wang},
title = {An $hp$-Version Chebyshev Spectral Collocation Method for Nonlinear Volterra Integro-Differential Equations with Weakly Singular Kernels},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2019},
volume = {12},
number = {3},
pages = {969--994},
abstract = {<p style="text-align: justify;">This paper presents an $hp$-version Chebyshev spectral collocation method for
nonlinear Volterra integro-differential equations with weakly singular kernels. The $hp$-version error bound of the collocation method under the $H$<sup>1</sup>-norm is established on an
arbitrary mesh. Numerical experiments demonstrate the effectiveness of the proposed
method.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.OA-2018-0104},
url = {http://global-sci.org/intro/article_detail/nmtma/13139.html}
}