Efficient solution of a wave equation with fractional-order dissipative terms

We consider a wave equation with fractional-order dissipative terms modeling visco-thermal losses on the lateral walls of a duct, namely the Webster–Lokshin model. Diffusive representations of fractional derivatives are used, first to prove existence and uniqueness results, then to design a numerica...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Journal of computational and applied mathematics 2010-07, Vol.234 (6), p.2003-2010
Hauptverfasser:	Haddar, H., Li, J.-R., Matignon, D.
Format:	Artikel
Sprache:	eng
Schlagworte:	Accuracy Derivatives Diffusive representation Dissipation Exact solutions Fractional derivative Mathematical analysis Mathematical models Mathematics Numerical Analysis Spectral approximation Walls Wave equations
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!