A stable finite difference scheme for fractional viscoelastic wave propagation in space-time domain

This work focuses on the numerical approximation of the one dimensional wave propagation equation in a viscoelastic medium modelled by the fractional Zener model. First, we propose an explicit centred finite difference scheme. Then, we prove a sufficient stability condition for this scheme using an...

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Bibliographic Details

Published in:	Journal of numerical analysis and approximation theory Vol. 54; no. 1; pp. 3 - 25
Main Authors:	Ait ichou, Mohamed, Ezziani, Abdelaaziz
Format:	Journal Article
Language:	English
Published:	Publishing House of the Romanian Academy 30.06.2025
Subjects:	Caputo fractional derivative Finite-difference method Viscoelastic wave simulations
ISSN:	2457-6794, 2501-059X
Online Access:	Get full text
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