Articolo in rivista, 2011,

Numerical solution of a singular integral equation with Cauchy kernel in the plane contact problem

Capobianco M.R., Criscuolo G.

Capobianco Maria Rosaria CNR-IAC Napoli Criscuolo Giuliana Dipartimento di Matematica e Applicazioni, Università di Napoli "Federico II"

This paper describes a collocation method for solving numerically a singular integral equation with Cauchy and Volterra operators, associated with a proper constraint condition. The numerical method is based on the transformation of the given integral problem into a hypersingular integral equation and then applying a collocation method to solve the latter equation. Convergence of the resulting method is then discussed, and optimal convergence rates for the collocation and discrete collocation methods are given in suitable weighted Sobolev spaces. Numerical examples are solved using the proposed numerical technique.

Quarterly of applied mathematics 69 , pp. 79–89

Keywords

Singular Integral equations, Collocation Method, Contact Problems

CNR authors

Capobianco Maria Rosaria

CNR institutes

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

ID: 8409

Year: 2011

Type: Articolo in rivista

Creation: 2011-03-14 00:00:00.000

Last update: 2015-02-17 19:38:59.000

External links

OAI-PMH: Dublin Core

OAI-PMH: Mods

OAI-PMH: RDF

External IDs

CNR OAI-PMH: oai:it.cnr:prodotti:8409

ISI Web of Science (WOS): 000289913100005

Scopus: 2-s2.0-79952581021