Title of article :
Approximate Solution of Singular Integral Equations with Negative Index
Author/Authors :
MUSTAFA, Nizami Kafkas University - Faculty of Science and Letters - Department of Mathematics, Turkey , ÇAĞLAR, Murat Kafkas University - Faculty of Science and Letters - Department of Mathematics, Turkey
Abstract :
This paper is devoted to investigating a class of linear singular integral equations with a negative index on a closed, simple and smooth curve. In this paper, we propose the quadrature method for the approximate solution of the linear singular integral equations with negative index. Sufficient conditions are given for the convergence of this method in Hölder space.
Keywords :
Linear singular integral equation , Index of singular integral equation , Quadrature method.
Journal title :
Gazi University Journal Of Science
Journal title :
Gazi University Journal Of Science