Work

On linear waves with memory in a Bessel-like medium

Year: 2025

Type: preprint

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.

Source: arXiv (Cornell University)

Authors: Giusti, A., Colombaro, I., Mentrelli, A.

Institutions: Istituto Nazionale di Fisica Nucleare, Sezione di Bologna, Free University of Bozen-Bolzano, University of Bologna

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Gruppo Nazionale per la Fisica Matematica

OpenAlex ID: W7091188136

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