Rapporto tecnico, 2009, ENG

Numerical solution of a class of singular integral equations

Capobianco M.R., Criscuolo G.

Maria Rosaria Capobianco, Istituto per le Applicazioni del Calcolo "Mauro Picone", CNR Giuliana Criscuolo, Dipartimento di Matematica e Applicazioni Università degli studi di Napoli "Federico II"

Capobianco, Criscuolo and Junghanns [2] have studied an integro differential equation of Prandtl type and a collocation method as well as a quadrature method for its approximate solution in weighted Sobolev spaces. Furthermore, collocation and collocation quadrature methods for the same integral equation have been studied in weighted spaces of continuous functions [3]. The aim of the present paper is to present an algorithm related to a numerical model for a hypersingular Integral equation arising in a solid circular plate problem, based on the collocation methods with quadrature methods on orthogonal polynomials as in [2, 3]. The optimal convergence rates is proved.

Keywords

CNR authors

Capobianco Maria Rosaria

CNR institutes

IAC – Istituto per le applicazioni del calcolo "Mauro Picone"

ID: 153906

Year: 2009

Type: Rapporto tecnico

Creation: 2009-11-27 00:00:00.000

Last update: 2015-02-20 18:37:49.000

External links

OAI-PMH: Dublin Core

OAI-PMH: Mods

OAI-PMH: RDF

External IDs

CNR OAI-PMH: oai:it.cnr:prodotti:153906