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http://dx.doi.org/10.14317/jami.2022.983

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)
Publication Information
Journal of applied mathematics & informatics / v.40, no.5_6, 2022 , pp. 983-993 More about this Journal
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.
Keywords
Clenshaw-Curtis spectral collocation method; second kind Volterra integral equations; convergence analysis;
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