Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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ON CLENSHAW-CURTIS SPECTRAL COLLOCATION METHOD FOR VOLTERRA INTEGRAL EQUATIONS

  • CHAOLAN, HUANG (College of Mathematics, Hunan Institute of Science and Technology) ;
  • CHUNHUA, FANG (College of Mathematics, Hunan Institute of Science and Technology) ;
  • JIANYU, WANG (College of Mathematics, Hunan Institute of Science and Technology) ;
  • ZHENGSU, WAN (College of Mathematics, Hunan Institute of Science and Technology)
  • Received : 2021.11.11
  • Accepted : 2022.04.20
  • Published : 2022.09.30
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Abstract

The main purpose of this paper is to solve the second kind Volterra integral equations by Clenshaw-Curtis spectral collocation method. First of all, we can transform the integral interval from [-1, x] to [-1, 1] through a simple linear transformation, and discretize the integral term in the equation by Clenshaw-Curtis quadrature formula to obtain the collocation equations. Then we provide a rigorous error analysis for the proposed method. At last, several numerical example are used to verify the results of theoretical analysis.

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Acknowledgement

This work was supported partly by Hunan Provincial Natural Science Foundation of China(No.2022JJ30276),the National Science Foundation of China(No.11701171), and the Science and Technology Program of Hunan Province(No.2019TP1014).

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