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Adapted Quadratic Approximation for Singular Integrals Equations

Mostefa NADIR


The aim of this work is to solve singular integral equations (S.I.E), of Cauchy type on a smooth closed pievewise curve. This method is based on the adapted quadratic approximation of the singular integral of the dominant part [6], where we reduce a (S.I.E) to a linear system of equations and we realize this approach numerically by the means of a program [1],[3].


singular integral, interpolation, quadratic approximation, Holder space and Holder condition.

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