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
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;
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
DOI :
10.1109/ICCIS.2010.209
