Fourier series approximation for the Cauchy singular integral equation

Journal of Numerical Analysis and Approximation Theory

Amira Arbaoui¹  Hamid Boulares¹  Hamza Guebbai² 

[1] University 8 May 1945, Algeria.;University 8 May 1945, Guelma;

关键词: Singular integral equation;    Cauchy operator;    Galerkien method;    Fourier series;   

DOI  :  

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown