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A New Diffusive Representation for Fractional Derivatives, Part II: Convergence Analysis of the Numerical Scheme

  • Recently, we have proposed a new diffusive representation for fractional derivatives and, based on this representation, suggested an algorithm for their numerical computation. From the construction of the algorithm, it is immediately evident that the method is fast and memory-efficient. Moreover, the method’s design is such that good convergence properties may be expected. In this paper, we commence a systematic investigation of these convergence properties.

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Metadaten
Author:Kai Diethelm
DOI:https://doi.org/10.3390/math10081245
Parent Title (English):Mathematics
Document Type:Article
Language:English
Year of publication:2022
Release Date:2023/08/10
Volume:10
Issue:8
Article Number:1245
Institutes and faculty:Fakultäten / Fakultät für angewandte Natur- und Geisteswissenschaften
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