Quadratic numerical treatment for singular integral equations with logarithmic kernel Online publication date: Wed, 24-Jul-2019
by Mostefa Nadir; Bachir Gagui
International Journal of Computing Science and Mathematics (IJCSM), Vol. 10, No. 3, 2019
Abstract: 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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