Search for: [Abstract = "The aim of this work is to solve singular integral equations \(S.I.E\), of Cauchy type on a smooth curve by pieces. This method is based on the approximation of the singular integral of the dominant part \[6\], where the \(S.I.E\) is reduced to a linear system of equations and to realize this approach numerically by the means of a program \[3, 5\]."]