Quadratic numerical treatment for singular integral equations with logarithmic kernel (Q2224361)

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Quadratic numerical treatment for singular integral equations with logarithmic kernel
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    Quadratic numerical treatment for singular integral equations with logarithmic kernel (English)
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    3 February 2021
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    Summary: The goal of this paper is to present a direct method for an approximative solution of a weakly singular integral equations (WSIE) with logarithmic kernel on a piecewise smooth integration path using a modified quadratic spline approximation, we also show that this approximation gives an efficient approach to the analytical solution of WSIE.
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    weakly singular integral
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    quadratic interpolation
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    Hölder space
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    Hölder condition
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