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Fast Solution Methods for Fractional Differential Equations in the Modeling of Viscoelastic Materials

  • Fractional order models have proven to be a very useful tool for the modeling of the mechanical behaviour of viscoelastic materials. Traditional numerical solution methods exhibit various undesired properties due to the non-locality of the fractional differential operators, in particular regarding the high computational complexity and the high memory requirements. The infinite state representation is an approach on which one can base numerical methods that overcome these obstacles. Such algorithms contain a number of parameters that influence the final result in nontrivial ways. Based on numerical experiments, we initiate a study leading to good choices of these parameters.

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Metadaten
Author:Kai Diethelm
DOI:https://doi.org/10.1109/ICSC50472.2021.9666636
Parent Title (English):2021 9th International Conference on Systems and Control (ICSC)
Publisher:IEEE
Document Type:Conference Proceeding
Language:English
Year of publication:2021
Release Date:2023/08/10
First Page:455
Last Page:460
Institutes and faculty:Fakultäten / Fakultät für angewandte Natur- und Geisteswissenschaften
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