Fourier series approximation for the Cauchy singular integral equation

Main Article Content

Hamid Boulares
Hamza GUEBBAI
Amira Arbaoui

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.

Keywords
Singular integral equation, Cauchy operator, Galerkien method, Fourier series

Article Details

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. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1127
Section
Articles
Author Biographies

Hamid Boulares, Department of Mathematics, University 8 May 1945 Guelma. B.P. 401 Guelma 24000 Algeria.

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

Amira Arbaoui, Department of Mathematics, University 8 May 1945 Guelma. B.P. 401 Guelma 24000 Algeria.

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

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