Spectral and Discontinuous Spectral Element Methods for Fractional Delay Equations

We first develop a spectrally accurate Petrov--Galerkin spectral method for fractional delay differential equations (FDDEs). This scheme is developed based on a new spectral theory for fractional Sturm--Liouville problems (FSLPs), which has been recently presented in [M. Zayernouri and G. E. Karniad...

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Veröffentlicht in:	SIAM journal on scientific computing 2014-01, Vol.36 (6), p.B904-B929
Hauptverfasser:	Zayernouri, Mohsen, Cao, Wanrong, Zhang, Zhongqiang, Karniadakis, George Em
Format:	Artikel
Sprache:	eng
Schlagworte:	Basis functions Delay Differential equations Distributed memory Mathematical analysis Mathematical models Spectra Spectral methods
Online-Zugang:	Volltext
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