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...

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Bibliographic Details
Published inCommunications in nonlinear science & numerical simulation Vol. 90; p. 105365
Main Authors Arana-Jiménez, M., Berenguer, M.I., Gámez, D., Garralda-Guillem, A.I., Ruiz Galán, M.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 01.11.2020
Elsevier Science Ltd
Subjects
Integral equations
Interval equations
Inverse problem
Inverse problems
Mathematical functions
Mathematics
Numerical analysis
Theorems
Volterra integral equation
45Q05
65R20
Interval equations
Volterra integral equation
47S40
65L10
Inverse problem
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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.
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2020.105365