Approximate solution of singular integro-differential equations by reduction methods in generalized Hölder spaces

Abstract

Abstract: In present paper we elaborated the numerical schemes of reduction methods for approximative solution of Singular Integro- Differential Equations with kernels of Cauchy type. The equations are defined on the arbitrary smooth closed contours of complex plane. The researched methods are based on the Faber-Laurent polynomials. Theoretical background of reduction methods has been obtained in Generalized Hölder spaces. Singular Integro- differential equations, Faber-Laurent polynomials, Generalized Hölder spaces 1