@Article{IJNAM-15-26,
author = {Yi , Lijun and Guo , Benqi},
title = {The $h$-$p$ Version of the Continuous Petrov-Galerkin Method for Nonlinear Volterra Functional Integro-Differential Equations with Vanishing Delays},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2018},
volume = {15},
number = {1-2},
pages = {26--47},
abstract = {<p style="text-align: justify;">We investigate an $h$-$p$ version of the continuous Petrov-Galerkin method for the nonlinear Volterra functional integro-differential equations with vanishing delays. We derive $h$-$p$ version a priori error estimates in the $L^2$-, $H^1$- and $L^∞$-norms, which are completely explicit in the local discretization and regularity parameters. Numerical computations supporting the theoretical results are also presented.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/10554.html}
}