<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In this work we present a numerical solution for sin- gular integral equations of the first kind on the oriented smooth contour with Cauchy type kernel. For this one we use an adapted quadratic approximation constructed by the author for this goal, based on the Simpson rule. Many examples are treated in order to prove the eficiency of this approximation. </p></abstract>

In this work we present a numerical solution for sin- gular integral equations of the first kind on the oriented smooth contour with Cauchy type kernel. For this one we use an adapted quadratic approximation constructed by the author for this goal, based on the Simpson rule. Many examples are treated in order to prove the eficiency of this approximation.

Numerical Solution of the Singular Integral Equations of the First Kind on the Curve

Laboratory of Pure and Applied Mathematics and Laboratory of Signals Analysis and Systems University of Msila 28000 ALGERIA

Annals of West University of Timisoara - Mathematics and Computer Science

In this work we present a numerical solution for sin- gular integral equations of the first kind on the oriented smooth contour with Cauchy type kernel. For...

Numerical Solution of the Singular Integral Equations of the First Kind on the Curve

Published Online: Aug 14, 2013

Page range: 109 - 116

DOI: https://doi.org/10.2478/awutm-2013-0008

This content is open access.