SOME CONSIDERATIONS ON NUMERICAL METHODS FOR CAUCHY SINGULAR INTEGRAL EQUATIONS ON THE REAL LINE-Reference-Cited by-同舟云学术

SOME CONSIDERATIONS ON NUMERICAL METHODS FOR CAUCHY SINGULAR INTEGRAL EQUATIONS ON THE REAL LINE

Published:2024-03-26 Issue:2 Volume:29 Page:268-276
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
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Author:

Capobianco Maria Rosaria¹,Criscuolo Giuliana²

Affiliation:

1. Istituto per le Applicazioni del Calcolo “M. Picone” - C.N.R. Sede di Napoli, Via Pietro Castellino 111, 80131 Napoli, Italy

2. Dipartimento di Matematica e Applicazioni, Universit´a degli Studi di Napoli “Federico II”, Complesso Monte Sant’Angelo, Edificio T, Via Cintia, 80126 Napoli, Italy

Abstract

Two different direct methods are proposed to solve Cauchy singular integral equations on the real line. The aforementioned methods differ in order to be able to prove their convergence which depends on the smoothness of the known term function in the integral equation.

Publisher

Vilnius Gediminas Technical University

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