Analysis and numerics of the propagation speed for hyperbolic reaction-diffusion models

TL;DR

This paper investigates the propagation speed of fronts in hyperbolic reaction-diffusion models, offering insights into their numerical computation as an alternative to classical parabolic models.

Contribution

It provides a detailed analysis and numerical methods for calculating invasion velocities in hyperbolic reaction-diffusion systems, a less-explored area compared to parabolic models.

Findings

Numerical techniques for invasion velocity computation

Comparison between hyperbolic and parabolic models

Enhanced understanding of dissipative process propagation

Abstract

In this paper, we analyse propagating fronts in the context of hyperbolic theories of dissipative processes. These can be considered as a natural alternative to the more classical parabolic models. Emphasis is given toward the numerical computation of the invasion velocity.