A splitting method for the augmented Burgers equation

In this paper we consider a splitting method for the augmented Burgers equation and prove that it is of first order. We also analyze the large-time behavior of the approximated solution by obtaining the first term in the asymptotic expansion. We prove that, when time increases, these solutions behav...

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Veröffentlicht in:	BIT 2018-03, Vol.58 (1), p.73-102
Hauptverfasser:	Ignat, Liviu I., Pozo, Alejandro
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic series Burgers equation Computational Mathematics and Numerical Analysis Linear equations Mathematics Mathematics and Statistics Numeric Computing Self-similarity Splitting
Online-Zugang:	Volltext
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Zusammenfassung:	In this paper we consider a splitting method for the augmented Burgers equation and prove that it is of first order. We also analyze the large-time behavior of the approximated solution by obtaining the first term in the asymptotic expansion. We prove that, when time increases, these solutions behave as the self-similar solutions of the viscous Burgers equation.
ISSN:	0006-3835 1572-9125
DOI:	10.1007/s10543-017-0673-x