DocumentCode
2461567
Title
The Wiener-Askey Polynomial Chaos for Diffusion Problems with Uncertainty
Author
Qu, Dong ; Liu, Zhibing ; XU, Chuanju
Author_Institution
Coll. of Sci., Jiujiang Univ., Jiujiang, China
fYear
2010
fDate
17-19 Dec. 2010
Firstpage
839
Lastpage
842
Abstract
Efficient methods based on Galerkin projections and the Wiener-Askey polynomial chaos are constructed to solve the steady/unsteady state diffusion problems with uncertainty. Some numerical examples are used to confirm the efficiency of the methods. The exponential convergence of the methods is demonstrated for each problem.
Keywords
Galerkin method; chaos; diffusion; partial differential equations; polynomials; Galerkin projections; Wiener-Askey polynomial chaos; uncertainty; unsteady partial differential equations; unsteady state diffusion problems; Chaos; Convergence; Mathematical model; Moment methods; Polynomials; Uncertainty; Wiener-Askey polynomial chaos; error convergence; uncertain inputs;
fLanguage
English
Publisher
ieee
Conference_Titel
Computational and Information Sciences (ICCIS), 2010 International Conference on
Conference_Location
Chengdu
Print_ISBN
978-1-4244-8814-8
Electronic_ISBN
978-0-7695-4270-6
Type
conf
DOI
10.1109/ICCIS.2010.209
Filename
5709218
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