Adapted linear approximation for singular integral equations

Mostefa NADIRa,* and Belkacem LAKEHALIb

Adapted linear approximation for singular integral equations

Authors :

Mostefa NADIR^a,* and Belkacem LAKEHALI^b

Author Address :

^a,bDepartment of Mathematics, Faculty of Mathematics and Informatics, University of Msila, 28000, Msila, Algeria.

*Corresponding author.

Abstract :

The aim of this work is to solve singular integral equations (S.I.E), of Cauchy type on a closed smooth curve. This method presented by the author is based on the adapted linear approximation of the singular integral of the dominant part, where we reduce a (S.I.E) to an algebraic linear system and we realize numerically this approach by examples.

Keywords :

Singular integral, interpolation, linear approximation, Holder space and Holder condition.

DOI :

Article Info :

Received : June 26, 2014; Accepted : August 10, 2014.