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.
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|
|Subjects:||230000 Mathematical Sciences|
|Depositing User:||Dr Nam Mai-Duy|
|Date Deposited:||11 Oct 2007 00:56|
|Last Modified:||02 Jul 2013 22:42|
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