Some considerations on numerical methods for Cauchy singular integral equations on the real line

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.

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Bibliographic Details
Published inMathematical modelling and analysis Vol. 29; no. 2; pp. 268 - 276
Main Authors Capobianco, Maria Rosaria, Criscuolo, Giuliana
Format Journal Article
LanguageEnglish
Published Vilnius Vilnius Gediminas Technical University 26.03.2024
Subjects
Analysis
Approximation
Cauchy problem
Hermite weight
Hilbert transform
Integral equations
Mathematical analysis
Methods
Numerical analysis
Numerical methods
Polynomials
singular integral equation
Singular integral equations
Smoothness
Tests, problems and exercises
Italy
Hilbert transform
Hermite weight
singular integral equation
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1392-6292
1648-3510
DOI:10.3846/mma.2024.18688