A stabilized Hermite spectral method for second-order differential equations in unbounded domains

A stabilized Hermite spectral method, which uses the Hermite polynomials as trial functions, is presented for the heat equation and the generalized Burgers equation in unbounded domains. In order to overcome instability that may occur in direct Hermite spectral methods, a time‐dependent scaling fact...

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Veröffentlicht in:	Numerical methods for partial differential equations 2007-09, Vol.23 (5), p.968-983
Hauptverfasser:	Ma, Heping, Zhao, Tinggang
Format:	Artikel
Sprache:	eng
Schlagworte:	Burgers' equation Hermite spectral method time-dependent weight
Online-Zugang:	Volltext
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