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ON CLENSHAW-CURTIS SPECTRAL COLLOCATION METHOD FOR VOLTERRA INTEGRAL EQUATIONS
CHAOLAN, HUANG,CHUNHUA, FANG,JIANYU, WANG,ZHENGSU, WAN The Korean Society for Computational and Applied M 2022 Journal of applied mathematics & informatics Vol.40 No.5-6
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.