Quadratic numerical treatment for singular integral equations with logarithmic kernel

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Date

2018

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Publisher

Université de M'sila

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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Keywords

weakly singular integral; quadratic interpolation; holder space and holder condition.

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