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: 346

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 \(L^2\). 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

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

Issue

Vol. 47 No. 1 (2018)

Section

Articles

License

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

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