Year: 2018
Author: Weishan Zheng, Yanping Chen
Journal of Mathematical Study, Vol. 51 (2018), Iss. 2 : pp. 214–226
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v51n2.18.06
Journal of Mathematical Study, Vol. 51 (2018), Iss. 2 : pp. 214–226
Published online: 2018-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Volterra integral equation multiple delays Chebyshev spectral method Gronwall inequality convergence analysis.