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,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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4. NADIR, M., 1998, Opérateurs intégraux et bases d'ondelettes, Far East Journal of Mathematical Sciences, 6, 977-995.
5. 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 .
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