@Article{JMS-51-2,
author = {Zheng, Weishan and Yanping, Chen},
title = {Chebyshev Spectral Method for Volterra Integral Equation with Multiple Delays},
journal = {Journal of Mathematical Study},
year = {2018},
volume = {51},
number = {2},
pages = {214--226},
abstract = {<p style="text-align: justify;">Numerical analysis is carried out for the Volterra integral equation with
multiple delays in this article. Firstly, we make two variable transformations. Then
we use the Gauss quadrature formula to get the approximate solutions. And then with
the Chebyshev spectral method, the Gronwall inequality and some relevant lemmas,
a rigorous analysis is provided. The conclusion is that the numerical error decay exponentially
in $L^∞$ space and $L^2_{ω^c}$ space. Finally, numerical examples are given to show
the feasibility and effectiveness of the Chebyshev spectral method.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v51n2.18.06},
url = {https://global-sci.com/article/87749/chebyshev-spectral-method-for-volterra-integral-equation-with-multiple-delays}
}