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
Singular Integral equations, Collocation Method, Contact Problems
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
CNR authors
External IDs
CNR OAI-PMH: oai:it.cnr:prodotti:8409
ISI Web of Science (WOS): 000289913100005
Scopus: 2-s2.0-79952581021