Point-wise integrated-RBF-based discretisation of differential equations

Mai-Duy, Nam and Tran-Cong, Thanh (2010) Point-wise integrated-RBF-based discretisation of differential equations. In: 2nd International Symposium on Computational Mechanics (ISCM II) in conjunction with EPMESC 2009, 30 Nov-3 Dec 2009, Hong Kong, Macau.

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Abstract

This paper discusses a discretisation scheme which is based on point collocation and integrated radial basis function networks (IRBFNs) for the solution of elliptic differential equations (DEs). The use of IRBFNs to represent the field variable in a given DE gives several advantages over the case of using conventional RBFNs and polynomials. Some numerical examples are included for demonstration purposes.


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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Additional Information: Conference held in conjunction with the 12th International Conference on the Enhancement and Promotion of Computational Methods in Engineering and Science. Published version deposited in accordance with the copyright policy of the publisher.
Depositing User: Prof Thanh Tran-Cong
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering
Date Deposited: 08 Sep 2010 05:20
Last Modified: 15 Oct 2014 01:43
Uncontrolled Keywords: integrated RBFs; point collocation; PDEs
Fields of Research (FOR2008): 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010302 Numerical Solution of Differential and Integral Equations
08 Information and Computing Sciences > 0802 Computation Theory and Mathematics > 080202 Applied Discrete Mathematics
01 Mathematical Sciences > 0101 Pure Mathematics > 010104 Combinatorics and Discrete Mathematics (excl. Physical Combinatorics)
Socio-Economic Objective (SEO2008): E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
Identification Number or DOI: doi: 10.1063/1.3452151
URI: http://eprints.usq.edu.au/id/eprint/8568

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