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.
Metadata
| HTML Citation | EndNote | Dublin Core | Reference Manager |
Full text available as:
![[img]](/style/images/fileicons/application_pdf.png)
| PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 31Kb |
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.
| Item Type: | Conference or Workshop Item (Commonwealth Reporting Category E) (Paper) |
|---|---|
| Additional Information: | No evidence of copyright restrictions. |
| 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 |
| Subjects: | 230000 Mathematical Sciences |
| Socio-Economic Objective (SEO2008): | UNSPECIFIED |
| ID Code: | 2082 |
| Deposited By: | |
| Deposited On: | 11 Oct 2007 10:56 |
| Last Modified: | 25 Aug 2011 14:19 |
Archive Staff Only: edit this record