Fourier series approximation for the Cauchy singular integral equation

Authors

  • Hamid Boulares University 8 May 1945, Algeria
  • Hamza Guebbai University 8 May 1945, Guelma, Algeria
  • Amira Arbaoui University 8 May 1945, Algeria

DOI:

https://doi.org/10.33993/jnaat471-1127

Keywords:

Singular integral equation, Cauchy operator, Galerkien method, Fourier series
Abstract views: 397

Abstract

Using the Fourier series as a projection in the Galerkin method, we approach the solution of the Cauchy singular integral equation. This study is carried in L2. Numerical examples are developped to show the effectiveness of this method.

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Author Biographies

  • Hamid Boulares, University 8 May 1945, Algeria

    Doctor at Department of Mathematics, University 8 May 1945 Guelma. B.P. 401 Guelma 24000 Algeria.

  • Amira Arbaoui, University 8 May 1945, Algeria

    Phd student at Department of Mathematics, University 8 May 1945 Guelma. B.P. 401 Guelma 24000 Algeria.

References

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Published

2018-08-06

Issue

Vol. 47 No. 1 (2018)

Section

Articles

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Copyright (c) 2018 Journal of Numerical Analysis and Approximation Theory

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Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

How to Cite

Boulares, H., Guebbai, H., & Arbaoui, A. (2018). Fourier series approximation for the Cauchy singular integral equation. J. Numer. Anal. Approx. Theory, 47(1), 20-25. https://doi.org/10.33993/jnaat471-1127