Opuscula Mathematica
Opuscula Math. 28, no. 2 (2008), 179-194

Approximate solutions of a singular integral equation with Cauchy kernels in the quarter plane

Dorota Pylak
Abstract. In the paper, we present explicit formulae for the solution of the singular integral equation with Cauchy kernels in the quarter plane. Next, Jacobi and Chebyshev polynomials are used to derive approximate solutions of this equation.
Keywords: singular integral equation, Cauchy kernel, Chebyshev and Jacobi polynomials.
Mathematics Subject Classification: 65R20, 45L10, 45E05.
Full text (pdf)
About the authors ▼
Dorota Pylak
The John Paul II Catholic University of Lublin, Institute of Mathematics and Computer Science, al. Racławickie 14, 20-950 Lublin, Poland
About the article ▼
Received: 2007-05-24.
Revised: 2007-07-17.
Accepted: 2007-07-18.
Cite this article as ▼
Dorota Pylak, Approximate solutions of a singular integral equation with Cauchy kernels in the quarter plane, Opuscula Math. 28, no. 2 (2008), 179-194, http://dx.doi.org/10.7494/OpMath.2008.28.2.179.
Download this article's citation as: