Numerical Solution of the Burgers Equation With Neumann Boundary Noise

  • In this paper we investigate the numerical solution of the one-dimensional Burgers equation with Neumann boundary noise. For the discretization scheme we use the Galerkin approximation in space and the exponential Euler method in time. The impact of the boundary noise on the solution is discussed in several numerical examples. Moreover, we analyze and illustrate some properties of the stochastic term and study the convergence numerically.

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Metadaten
Author:Bakhtiyar Ghayebi, Seyed Mohammad Hosseini, Dirk BlömkerGND
URN:urn:nbn:de:bvb:384-opus4-29431
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/2943
Series (Serial Number):Preprints des Instituts für Mathematik der Universität Augsburg (2015-01)
Type:Preprint
Language:English
Year of first Publication:2015
Publishing Institution:Universität Augsburg
Release Date:2015/01/19
Tag:Burgers equation; boundary Neumann noise; exponential Euler scheme; spectral Galerkin method
GND-Keyword:Burgers-Gleichung; Neumann-Problem; Eulersches Polygonzugverfahren; Galerkin-Methode; Rauschen
Note:
Erschienen in Journal of Computational and Applied Mathematics, 311, S. 148-164, https://doi.org/10.1016/j.cam.2016.07.005
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Licence (German):License LogoDeutsches Urheberrecht mit Print on Demand