Abstract
The aim of this paper is to extend the application of the Group Explicit method [1, 2] to the numerical solution of a non-linear parabolic partial differential equation of second order. The method was tested out on Burger's equation for various initial and boundary conditions. It can be seen that the method is accurate and comparable to existing finite difference methods.
Zusammenfassung
Das Ziel dieser Mitteilung ist die Verallgemeinerung der Anwendung der gruppenexpliziten Methode [1, 2] auf die numerische Lösung einer nichtlinearen parabolischen Differentialgleichung zweiter Ordnung. Die Methode wurde an der Burgerschen Gleichung für verschiedene Anfangs- und Randbedingungen getestet. Es zeigt sich, daß die Methode genau und vergleichbar mit existierenden Differenzenverfahren ist.
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Evans, D.J., Abdullah, A.R. The Group Explicit method for the solution of Burger's equation. Computing 32, 239–253 (1984). https://doi.org/10.1007/BF02243575
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DOI: https://doi.org/10.1007/BF02243575