On linear waves with memory in a Bessel-like medium
Abstract We discuss the propagation of harmonic and transient waves for systems governed by a wave equation with memory whose integral kernel involves ratios of modified Bessel functions of the first kind in the Laplace domain. In particular, the investigation of transient waves is carried out by means of a fully numerical approach based on the Talbot method for the numerical inversion of Laplace transforms.
Authors
- Andrea Giusti (ORCID: https://orcid.org/0000-0003-0329-2726)
- A. Mentrelli
- I. Colombaro
Institutions
- Free University of Bozen-Bolzano (IT)
- GNA University (IN)
- Istituto Nazionale di Fisica Nucleare, Sezione di Bologna (IT)
- University of Bologna (IT)
Publication Details
- Journal
- The European Physical Journal Plus
- Published
- 2026-04-11
- DOI
- https://doi.org/10.1140/epjp/s13360-026-07647-z
- Primary Topic
- Numerical methods in inverse problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Università di Bologna
- Ministero dell'Università e della Ricerca
- Gruppo Nazionale per la Fisica Matematica