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

Berenguer Maldonado, María Isabel; Garralda Guillén, Ana Isabel; Gámez Domingo, Domingo; Ruiz Galán, Manuel

doi:https://doi.org/10.1016/j.cnsns.2020.105365

Artículo principal (233.3Ko)

Identificadores

URI: https://hdl.handle.net/10481/86288

DOI: https://doi.org/10.1016/j.cnsns.2020.105365

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Editorial

Elsevier

Date

2020-06-06

Referencia bibliográfica

M. Arana-Jiménez, M.I. Berenguer, D. Gámez, A.I. Garralda-Guillem, M. Ruiz Galán, A perturbed collage theorem and its application to inverse interval integral problems, Communications in Nonlinear Science and Numerical Simulation 90 (2020), 105365, 10 pages.

Résumé

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.

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