A high-order time-kernel BIEM for the Burgers equation

Mai-Duy, Nam and Tran-Cong, Thanh and Tanner, R. I. (2006) A high-order time-kernel BIEM for the Burgers equation. In: International Conference on Boundary Element Techniques VII, 4-6 September 2006, Paris, France.

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Abstract

In this paper, a high-order interpolation scheme, namely integrated radial-basis-function networks (IRBFNs), is introduced into the time-kernel boundary-integral-equation method (BIEM) to approximate the unknown functions in boundary and volume integrals for the solution of the Burgers equation. All relevant integrals are written in terms of nodal variable values. Solutions over the temporal domain can be obtained at once rather than step by step as in the case of conventional BIEMs.


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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Additional Information: No evidence of copyright restrictions.
Depositing User: Dr Nam Mai-Duy
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering
Date Deposited: 11 Oct 2007 00:56
Last Modified: 02 Jul 2013 22:42
Uncontrolled Keywords: Burgers equation, radial-basis-function networks, transient problems, time-dependent fundamental solutions, boundary-integral-equation methods
Fields of Research (FOR2008): 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010302 Numerical Solution of Differential and Integral Equations
09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation
URI: http://eprints.usq.edu.au/id/eprint/2082

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