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Rational Transformations for Evaluating Singular Integrals by the Gauss Quadrature Rule

Author

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  • Beong In Yun

    (Department of Mathematics, Kunsan National University, Gunsan 54150, Korea)

Abstract

In this work we introduce new rational transformations which are available for numerical evaluation of weakly singular integrals and Cauchy principal value integrals. The proposed rational transformations include parameters playing an important role in accelerating the accuracy of the Gauss quadrature rule used for the singular integrals. Results of some selected numerical examples show the efficiency of the proposed transformation method compared with some existing transformation methods.

Suggested Citation

  • Beong In Yun, 2020. "Rational Transformations for Evaluating Singular Integrals by the Gauss Quadrature Rule," Mathematics, MDPI, vol. 8(5), pages 1-15, May.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:5:p:677-:d:352720
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    References listed on IDEAS

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    1. Ma, Yanying & Huang, Jin, 2019. "Asymptotic error expansions and splitting extrapolation algorithm for two classes of two-dimensional Cauchy principal-value integrals," Applied Mathematics and Computation, Elsevier, vol. 357(C), pages 107-118.
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