Numerical analysis reveals harmonic and transient wave behaviors in memory-governed systems, indicating new insights into wave dynamics.
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.
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Giusti et al. (2026) studied this question.
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