@Article{AAMM-8-648,
author = {Shi , Xiulian and Chen , Yanping},
title = {Spectral-Collocation Method for Volterra Delay Integro-Differential Equations with Weakly Singular Kernels},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2018},
volume = {8},
number = {4},
pages = {648--669},
abstract = {<p style="text-align: justify;">A spectral Jacobi-collocation approximation is proposed for Volterra delay
integro-differential equations with weakly singular kernels. In this paper, we consider
the special case that the underlying solutions of equations are sufficiently smooth. We
provide a rigorous error analysis for the proposed method, which shows that both
the errors of approximate solutions and the errors of approximate derivatives decay
exponentially in $L^∞$ norm and weighted $L^2$ norm. Finally, two numerical examples are
presented to demonstrate our error analysis.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2015.m1088},
url = {http://global-sci.org/intro/article_detail/aamm/12108.html}
}