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Piecewise spectral collocation method for system of Volterra integral equations

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Abstract

The main purpose of this paper is to investigate the piecewise spectral collocation method for system of Volterra integral equations. The provided convergence analysis shows that the presented method performs better than global spectral collocation method and piecewise polynomial collocation method. Numerical experiments are carried out to confirm these theoretical results.

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Authors and Affiliations

  1. Department of Applied Mathematics, Guangdong University of Finance, Guangzhou, 510521, China

    Zhendong Gu

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  1. Zhendong Gu
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Correspondence to Zhendong Gu.

Additional information

Communicated by: Tom Lyche

This research was partially supported by the Opening Project of Guangdong Province Key Laboratory of Computational Science at the Sun Yat-sen University (No. 2016001), the Foundation for Distinguished Young Teachers in Higher Education of Guangdong Province (YQ201403).

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Gu, Z. Piecewise spectral collocation method for system of Volterra integral equations. Adv Comput Math 43, 385–409 (2017). https://doi.org/10.1007/s10444-016-9490-z

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  • DOI: https://doi.org/10.1007/s10444-016-9490-z

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