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

Credit to Download: 1 | Page Numbers 17 | Abstract Views: 25
Year: 2018
COI code: JR_IJNAO-9-2_007
Paper Language: English

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

  s Ahdiaghdam - Department of Mathematics, Marand Branch, Islamic Azad University, Marand, Iran,
  s shahmorad - Department of Applied Mathematics, University of Tabriz, Tabriz, Iran.

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 results demonstrate the effectiveness of the proposed method

Keywords:

System of singular linear integral equations; Orthogonal poly-nomials; Fourier series; Best approximation.

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COI code: JR_IJNAO-9-2_007

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Ahdiaghdam, s & s shahmorad, 2018, Approximate solution of a system of singular integral equations of the first kind by using Chebyshev polynomials, Iranian Journal of Numerical Analysis and Optimization 9 (2), https://www.civilica.com/Paper-JR_IJNAO-JR_IJNAO-9-2_007.htmlInside the text, wherever referred to or an achievement of this article is mentioned, after mentioning the article, inside the parental, the following specifications are written.
First Time: (Ahdiaghdam, s & s shahmorad, 2018)
Second and more: (Ahdiaghdam & shahmorad, 2018)
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The University/Research Center Information:
Type: Azad University
Paper No.: 1230
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