Title: Quadratic numerical treatment for singular integral equations with logarithmic kernel

Authors: Mostefa Nadir; Bachir Gagui

Addresses: Department of Mathematics, University of Msila, 28000, Algeria ' Department of Mathematics, University of Msila, 28000, Algeria

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.

Keywords: weakly singular integral; quadratic interpolation; holder space; holder condition.

DOI: 10.1504/IJCSM.2019.10022404

International Journal of Computing Science and Mathematics, 2019 Vol.10 No.3, pp.288 - 296

Received: 20 Jun 2017
Accepted: 08 Aug 2017

Published online: 24 Jul 2019 *

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