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

Iranian Journal of Numerical Analysis and Optimization

مقاله 3، دوره 9، شماره 2 - شماره پیاپی 16، دی 2019، صفحه 31-47   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.v9i2.73724

نویسندگان

S. Ahdiaghdam^{* 1}؛ S. Shahmorad²

¹Islamic Azad University, Marand

²University of Tabriz

چکیده

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.

کلیدواژه‌ها

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

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