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

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.

Bibliographic Details
Main Author: Dorota Pylak
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2008-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol28/2/art/opuscula_math_2815.pdf