• 제목/요약/키워드: Clenshaw-Curtis spectral collocation method

검색결과 1건 처리시간 0.013초

ON CLENSHAW-CURTIS SPECTRAL COLLOCATION METHOD FOR VOLTERRA INTEGRAL EQUATIONS

  • CHAOLAN, HUANG;CHUNHUA, FANG;JIANYU, WANG;ZHENGSU, WAN
    • Journal of applied mathematics & informatics
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    • 제40권5_6호
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    • pp.983-993
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    • 2022
  • 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.