Solution of Cauchy-type singular integral equations of the first kind with zeros of Jacobi polynomials as interpolation nodes
type: Item
instance of: scholarly article
title: Solution of Cauchy-type singular integral equations of the first kind with zeros of Jacobi polynomials as interpolation nodes
zbMATH Open document ID: 1144.65088
DOI: 10.1155/2007/10957
author: G. E. Okecha
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2008-06-03T00:00:00Z
full work available at URL: https://eudml.org/doc/54476
review text: The author investigates the numerical solution of Cauchy-type singular integral equations of the first kind at a discrete set of points based on Lagrangian interpolation with the zeros of Jacobi polynomials as nodes using the Gauss-Chebyshev quadrature rule and Christoffel-Darboux identity.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45E05
zbMATH DE Number: 5282531
zbMATH Keywords: Cauchy-type singular integral equation
zbMATH Keywords: Chebyshev polynomial
zbMATH Keywords: Legendre polynomial
zbMATH Keywords: Gauss-Jacobi quadrature rule
reviewed by: Chuangan Hu
MaRDI profile type: Publication
OpenAlex ID: W1972909974
cites work: Q3856684
cites work: Q3898193
cites work: Cubic Splines and Approximate Solution of Singular Integral Equations
cites work: Q3160338
cites work: Q3844606
cites work: Q4195836
cites work: On the uniform convergence of a collocation method for a class of singular integral equations
description: scientific article; zbMATH DE number 5282531