ON THE APPROXIMATION OF SINGULAR INTEGRALS

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

B. Lakehalı Mostefa Nadır

https://izlik.org/JA49JE56HE

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

https://izlik.org/JA49JE56HE

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.