A high-order compact integrated-RBF scheme for time-dependent problems
Paper
Paper/Presentation Title | A high-order compact integrated-RBF scheme for time-dependent problems |
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Presentation Type | Paper |
Authors | Thai-Quang, N. (Author), Le-Cao, K. (Author), Mai-Duy, N. (Author), Tran, C.-D. (Author) and Tran-Cong, T. (Author) |
Editors | Gu, Y. T. and Saha, Suvash C. |
Journal or Proceedings Title | Proceedings of the 4th International Conference on Computational Methods (ICCM 2012) |
Number of Pages | 8 |
Year | 2012 |
Place of Publication | Brisbane, Australia |
ISBN | 9781921897542 |
Web Address (URL) of Paper | http://www.iccm-2012.org/ |
Conference/Event | 4th International Conference on Computational Methods (ICCM 2012) |
Event Details | 4th International Conference on Computational Methods (ICCM 2012) Event Date 25 to end of 28 Nov 2012 Event Location Gold Coast, Australia |
Abstract | This paper presents a high-order approximation scheme based on compact integrated radial basis function (RBF) stencils and second-order Adams-Bashforth/Crank-Nicolson algorithms for solving time-dependent problems. We employ compact integrated-RBF stencils, where the RBF approximations are locally constructed through integration and expressed in terms of nodal values of the function and its derivatives, to discretise the spatial derivatives in the governing equations. We adopt the Adams-Bashforth and Crank-Nicolson algorithms, which are second-order accurate, to discretise the temporal derivatives. Numerical investigations in several analytic test problems show that the proposed scheme is stable and high-order accurate. |
Keywords | time-dependent problems; compact integrated-RBF stencils; high-order approximations |
ANZSRC Field of Research 2020 | 490303. Numerical solution of differential and integral equations |
490101. Approximation theory and asymptotic methods | |
461399. Theory of computation not elsewhere classified | |
Public Notes | No evidence of copyright restrictions preventing deposit. |
Byline Affiliations | Computational Engineering and Science Research Centre |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q1xvx/a-high-order-compact-integrated-rbf-scheme-for-time-dependent-problems
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