Approximate solution of a system of singular integral equations of the first kind by using Chebyshev polynomials

Document Type : Research Article

Authors

• S. Ahdiaghdam ¹
• S. Shahmorad ²

¹ Islamic Azad University, Marand

² University of Tabriz

10.22067/ijnao.v9i2.73724

Abstract

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.

Keywords

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

20.1001.1.24236977.2019.9.2.3.8

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