A perturbed collage theorem and its application to inverse interval integral problems

This paper deals with inverse problems subject to imprecise or vague information of some involved data by means of interval-valued functions. To provide interval solutions to the inverse problems we have adopted a perturbed collage-based approach and we have also introduced a numerical procedure by...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Authors Arana-Jimenez, M, Berenguer, M I, Gamez, D, Garralda-Guillem, A I, M Ruiz Galan
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 04.02.2020
Subjects
Computer Science - Numerical Analysis
Integral equations
Inverse problems
Mathematics - Functional Analysis
Mathematics - Numerical Analysis
Online AccessGet full text
ISSN2331-8422
DOI10.48550/arxiv.2002.01418

Cover

More Information
Summary:This paper deals with inverse problems subject to imprecise or vague information of some involved data by means of interval-valued functions. To provide interval solutions to the inverse problems we have adopted a perturbed collage-based approach and we have also introduced a numerical procedure by means of the use of interval bases in a sense. To illustrate the results, and as an application, we have studied the Volterra interval-valued integral equation, and provide some computational examples.
Bibliography:SourceType-Working Papers-1
ObjectType-Working Paper/Pre-Print-1
content type line 50
ISSN:2331-8422
DOI:10.48550/arxiv.2002.01418