ON THE APPROXIMATION OF SINGULAR INTEGRALS

Year 2007, Volume: 2 Issue: 2, 236 - 240, 01.12.2007

B. Lakehalı Mostefa Nadır

Abstract

In this work we present an approximation for singular integrals of
Cauchy type using a small technical in order to eliminate the
singularity. This approximation is destined  to resolve numerically the
singular integral equations with Cauchy type kernel on a smooth contour
oriented.

Keywords

Singular integral, interpolation, Hölder space, Hölder condition

ON THE APPROXIMATION OF SINGULAR INTEGRALS

Abstract

 In this work we present an approximation for singular integrals of Cauchy type using a small technical in order to eliminate the singularity. This approximation is destined to resolve numerically the singular integral equations with Cauchy type kernel on a smooth contour oriented. 

Keywords

Singular integral, interpolation, Hőlder space and Hőlder condition

References

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• NADIR, M., 1998, Opérateurs intégraux et bases d'ondelettes, Far East Journal of Mathematical Sciences, 6, 977-995.
• NADIR, M.; ANTIDZE, J., 2004, On the numerical solution of singular integral equations using Sanikidze's approximation, Comperative Methods in Science and Technology, 10, 83-89 .
• SANIKIDZE, J., 1970, On the approximate calculation of singular line integral, Seminar of Institute of Applied Mathematics, Tbilissi
• SANIKIDZE, J., 1971, Approximate solution of singular integral equations in the case of closed contours of integration, Seminar of Institute of Applied Mathematics, Tbilissi.