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BIT Numerical Mathematics
Erschienen in: BIT Numerical Mathematics 2/2021

21.01.2021

Abel’s integral operator: sparse representation based on multiwavelets

verfasst von: Behzad Nemati Saray

Erschienen in: BIT Numerical Mathematics | Ausgabe 2/2021

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Abstract

In this work, Abel’s integral operator is represented based on Alpert’s multiwavelets as a sparse matrix and then a non-linear Abel’s integral equation of the second kind is solved by multiwavelets Galerkin method. Nonlinearity and singularity make the numerical procedure more challenging. But the proposed scheme overcomes these problems. Convergence analysis is investigated and some numerical examples validated this analysis.
Vorheriger Artikel A three-term recurrence relation for accurate evaluation of transition probabilities of the simple birth-and-death process
Nächster Artikel Augmented Lagrangian preconditioners for the Oseen–Frank model of nematic and cholesteric liquid crystals

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Metadaten
Titel
Abel’s integral operator: sparse representation based on multiwavelets
verfasst von
Behzad Nemati Saray
Publikationsdatum
21.01.2021
Verlag
Springer Netherlands
Erschienen in
BIT Numerical Mathematics / Ausgabe 2/2021
Print ISSN: 0006-3835
Elektronische ISSN: 1572-9125
DOI
https://doi.org/10.1007/s10543-020-00832-1

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