Approximate Solution of Singular Integro-Differential Equations by Reduction Methods in Generalized Holder spaces

摘要

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 Holder spaces.