S. Ahdiaghdam - Islamic Azad University, Marand
S. Shahmorad - University of Tabriz

The aim of the present work is to introduce a method based on the Chebyshev polynomials for numerical solution of a system of Cauchy type singular integral equations of the first kind on a finite segment. Moreover, an estimation error is computed for the approximate solution. Numerical resultsdemonstrate the effectiveness of the proposed method.

Systems of singular linear integral equations, Orthogonal polynomials, Fourier series, Best approximation